Pith. sign in

Paper Citation Record · LEDGER

Optimal Distributed Similarity Estimation of Quantum Channels

As of 21 August 2026, this Paper Citation Record lists 100 of 107 outbound references and 1 inbound Pith citation observation for arXiv:2512.10465.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2512.10465 v4

Coverage vector

measured 100 of 107 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:21:15.989628Z

measured 101 of 101 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T02:45:06.689198Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-15T02:48:33.772553Z

Reference resolution

100 of 107 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved100
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e3f970c4-037b-4dc0-b821-933412344aee · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:06.863153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:06.863153Z digest=sha256:ea0141e0aa41be4f4f9fb1bba8b40595f210c2c9c0a12dccbe9722fc02e99032

Observation 63fe0f25-a937-4f35-9f81-dbc3367ced2f · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:06.939493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:06.939493Z digest=sha256:8011f2f3e3f3ab959bdd87fa21fc68b0d62059481818fbcf81a933b97a4c3a9b

Observation 55990abc-941c-454d-bd12-13e7d15b586a · outbound

This paper cites Record the measurement results on two devices as |𝜙𝐴⟩ and |𝜙𝐵⟩, and compute ˜𝑓 = |⟨𝜙𝐴|𝜙𝐵⟩| 2.

Optimal Distributed Similarity Estimation of Quantum Channels Record the measurement results on two devices as |𝜙𝐴⟩ and |𝜙𝐵⟩, and compute ˜𝑓 = |⟨𝜙𝐴|𝜙𝐵⟩| 2

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.051211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.051211Z digest=sha256:c13f9eb49340d7f688d1450f53d522cb00404b44e8c4679f29c384a275fec35a

Observation b826d1f7-5a15-48d6-afc1-6ecc639782be · outbound

This paper cites (5) This algorithm requires shared randomness only for state preparation and is described in pseudocode in Algorithm 1.

Optimal Distributed Similarity Estimation of Quantum Channels (5) This algorithm requires shared randomness only for state preparation and is described in pseudocode in Algorithm 1

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.202133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.202133Z digest=sha256:efe7c5461863c41f49dcfb2a36ecc0f0dc14040809cbe4cc41ca05c1166c0e4a

Observation 0c6602bf-80f8-4c1f-a653-ec571eb35edc · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.267960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.267960Z digest=sha256:c8c738fab8346f21747a298d2296ed86988f662179eab9bab69ece10fe164e2b

Observation 1c88326a-9ae0-4c8b-97b5-d6cdb1266c49 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.347248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.347248Z digest=sha256:f5e5f7cebb7346f3ca34afcfb17feec3be62e246a381cc005906ccda08887d85

Observation dd2a80a2-a63f-4630-88bc-5f01504bbf2f · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.405967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.405967Z digest=sha256:dcb29f3daf3b88f19e62a59df7f21e68fd3a5b34b57eac69ba2ab8e6944c550c

Observation cae998ed-71fa-4c96-af74-b52c0f1e8027 · outbound

This paper cites Compute ˜𝑔 = 1 𝑚2 𝑚Õ 𝑖,𝑗 =1 𝟙(𝑎𝑖,𝑏 𝑗), (7) where 𝟙(𝑎,𝑏 ) = 1 if𝑎 =𝑏; otherwise 0.

Optimal Distributed Similarity Estimation of Quantum Channels Compute ˜𝑔 = 1 𝑚2 𝑚Õ 𝑖,𝑗 =1 𝟙(𝑎𝑖,𝑏 𝑗), (7) where 𝟙(𝑎,𝑏 ) = 1 if𝑎 =𝑏; otherwise 0

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.462790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.462790Z digest=sha256:3ae4c251792bb435aa0c2a01dab44209503569e65ab955e892f204d3e51b4b56

Observation 3a088272-008d-4191-ae3e-ae871abe4008 · outbound

This paper cites (8) This incoherent algorithm is summarized in Algorithm 2.

Optimal Distributed Similarity Estimation of Quantum Channels (8) This incoherent algorithm is summarized in Algorithm 2

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.618791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.618791Z digest=sha256:8d03cfd1d46f9281a519a33c8374fa2aa54606a78e52d0bc23a2bf5e5965b573

Observation ecce942e-afba-4d68-8a47-80c9c47bbf0a · outbound

This paper cites Popkin, Quest for qubits, Science 354, 1090 (2016).

Optimal Distributed Similarity Estimation of Quantum Channels Popkin, Quest for qubits, Science 354, 1090 (2016)

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.738214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.738214Z digest=sha256:a259e97b42dece26099f3a4a5a31eefec049015f865410c951bf1590b108d616

Observation f2dafab7-1d94-4352-9fc1-b344c5af6f84 · outbound

This paper cites Preskill, Quantum Computing in the NISQ Era and Beyond, Quantum 2, 79 (2018).

Optimal Distributed Similarity Estimation of Quantum Channels Preskill, Quantum Computing in the NISQ Era and Beyond, Quantum 2, 79 (2018)

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.844403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.844403Z digest=sha256:fc605740900e1b085b6743ad7a49b2467098d9f6950cc26b4fabe97940dff727

Observation d275b449-444f-469b-a6f2-9a0c05cb0f53 · outbound

This paper cites 5 Year Update to the Next Steps in Quantum Computing.

Optimal Distributed Similarity Estimation of Quantum Channels 5 Year Update to the Next Steps in Quantum Computing

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:07.971112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:07.971112Z digest=sha256:6117145e7af4d95a964f01330889ae8e3983083cd381db9953a32116873a184d

Observation 0e0bb9ce-3362-4db1-bdb0-43b65cf37ee3 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.111210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.111210Z digest=sha256:22a71edb9b9c603cddbb68fa24f7ee80f7f0e777b793b574ad643451edf689e0

Observation 75ef99a8-d9ba-4be7-979d-834f2a2d7dd7 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.186494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.186494Z digest=sha256:d59fac3e3d6f877da00e038814b527d3458593e2bb2534318f34c7e4dbce55c1

Observation 44c46668-4cb2-44b5-9d35-078ef0f82ce5 · outbound

This paper cites Emerson, M.

Optimal Distributed Similarity Estimation of Quantum Channels Emerson, M

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.255831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.255831Z digest=sha256:88fe0994f28f0f06846f6d0fa80b69e765ec1cebc3dfc46398c6c1ff916fe64a

Observation c945a4e7-d72e-4cb6-ae8d-de6ffd140c6b · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.331178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.331178Z digest=sha256:91be8b1ca1b04f14885418f47cbc9d567c056092d6a872bcc0e006a8453f5f31

Observation 89862b75-e89e-4685-ac83-d5c12c8c51e6 · outbound

This paper cites Helsen, I.

Optimal Distributed Similarity Estimation of Quantum Channels Helsen, I

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.415089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.415089Z digest=sha256:a2cf778ed93d307673c44cdf146e63847c8a73f83f7517be8ee406ff56ddb863

Observation 2fe60632-e8a8-4d68-b75e-02c7212f8a78 · outbound

This paper cites Pallister, N.

Optimal Distributed Similarity Estimation of Quantum Channels Pallister, N

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.473915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.473915Z digest=sha256:abb15f887369a27b9a2af5ad44aecd2c25c5212d3cdeb620ff441ace3f98578a

Observation 085f0797-1b2f-4eec-8c00-493346ddf6fc · outbound

This paper cites Wang and M.

Optimal Distributed Similarity Estimation of Quantum Channels Wang and M

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.529038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.529038Z digest=sha256:e609df66a731308e89364b429fe390cab09ee3f6a1b6ce1e86d55af8e85d1122

Observation 8227d321-d00f-4c08-8aaa-a642a23ad46f · outbound

This paper cites Efficient Verification of Stabilizer Code Subspaces with Local Measurements.

Optimal Distributed Similarity Estimation of Quantum Channels Efficient Verification of Stabilizer Code Subspaces with Local Measurements

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.590111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.590111Z digest=sha256:eaaf95fd4509a6e847064ff9b40f679a760a0e175b6abf932ae564cc4ed4890b

Observation aee9b87b-62c4-4296-8c4b-e84015c28bdd · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.628175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.628175Z digest=sha256:8c3ae109763604e97598a1afc1205c36bfeafd7118e5769b88c0422189407651

Observation 44dc2dcd-a84a-45ce-866c-f448dff435d1 · outbound

This paper cites Elben, B.

Optimal Distributed Similarity Estimation of Quantum Channels Elben, B

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.660510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.660510Z digest=sha256:fcd792713419f499d4fc1a170ebb95f64340617a1116081582a17e25397dfd17

Observation 0c7d3256-1037-4ca6-84c2-574a8f00cb87 · outbound

This paper cites Knörzer, D.

Optimal Distributed Similarity Estimation of Quantum Channels Knörzer, D

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.712634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.712634Z digest=sha256:cdd8542e8377400d2c05799a26f676aa265ad288ad5b03dfe3a9335e985810b7

Observation cf5aabe9-bc26-49a7-b337-1c5eeb2322e4 · outbound

This paper cites Anshu, Z.

Optimal Distributed Similarity Estimation of Quantum Channels Anshu, Z

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.756703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.756703Z digest=sha256:218ec30bbe93e86c7ab9eab5306a37732f0b3dd859f01027d2edb20c8cd71767

Observation 8b0ff2ea-541b-46cc-8801-3165c7d660ac · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.809344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.809344Z digest=sha256:fb2a129ae8a8c2822a257e39639c47aa500969a1ee012f0ebb6707fe174621a5

Observation bb2a6a94-371b-43cf-991a-bc38febb5b1d · outbound

This paper cites Zheng, K.

Optimal Distributed Similarity Estimation of Quantum Channels Zheng, K

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.856845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.856845Z digest=sha256:c3b5ec8ca260e4f32f08777f16327f1f7ec2796432a73f3d4c8fbe6fc54e94fe

Observation 42268549-a561-45e4-af06-00c4fc18a4a5 · outbound

This paper cites Knörzer, X.

Optimal Distributed Similarity Estimation of Quantum Channels Knörzer, X

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.901049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.901049Z digest=sha256:dd6f6b498fdaa278843689a9954dfebedf45be23d06f1f24b3f917552350f633

Observation 7ec2ea70-129f-449f-8594-1034a3fe0ef4 · outbound

This paper cites Hinsche, M.

Optimal Distributed Similarity Estimation of Quantum Channels Hinsche, M

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:08.971007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:08.971007Z digest=sha256:549a32e3224178dc7e5cdf252cb4863c348abfa2665f539b66918cb3562e4619

Observation 41717681-7ca4-4f22-a64e-eebf2b492c26 · outbound

This paper cites State Similarity in Modular Superconducting Quantum Processors with Classical Communications.

Optimal Distributed Similarity Estimation of Quantum Channels State Similarity in Modular Superconducting Quantum Processors with Classical Communications

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.064921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.064921Z digest=sha256:ef50cc14e6fe15e4c8ee75d68c5ad8e83baeb87a63e396bd2beb44d49bcf991c

Observation 2edd8cb0-1cfb-49fc-a66f-1258be78507e · outbound

This paper cites On the sample complexity of purity and inner product estimation.

Optimal Distributed Similarity Estimation of Quantum Channels On the sample complexity of purity and inner product estimation

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.145860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.145860Z digest=sha256:7e19bab017f1e4c7b9c306f238bf39dae8fc0dd83e8a0c079acee21c91227656

Observation e008e1b1-5b7f-4c1f-bde0-f7d637778bcc · outbound

This paper cites Distributed inner product estimation with limited quantum communication.

Optimal Distributed Similarity Estimation of Quantum Channels Distributed inner product estimation with limited quantum communication

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.206911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.206911Z digest=sha256:bde67ec87ed818297a74e176227bea02120db81a8f877cbf2158f7f54b36eb62

Observation bc879dbc-fd6e-4a38-bc04-01e5e9ba32af · outbound

This paper cites Dalton, J.

Optimal Distributed Similarity Estimation of Quantum Channels Dalton, J

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.256777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.256777Z digest=sha256:94511fbff34c629382f69e6965e346da1fc1a7fb7e3c02900d81dc4af5c94aab

Observation 2ae5385a-3922-4faa-9479-9a0edbbdddf1 · outbound

This paper cites Zheng, X.

Optimal Distributed Similarity Estimation of Quantum Channels Zheng, X

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.327431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.327431Z digest=sha256:45e9359c301a75384984ca58df91946acecca2e8c4a0346ad1ced1ef410ae43f

Observation b2b10ee0-0725-4fa8-8a64-9a9b21a08421 · outbound

This paper cites Angrisani, Learning unitaries with quantum statistical queries, Quantum 9, 1817 (2025).

Optimal Distributed Similarity Estimation of Quantum Channels Angrisani, Learning unitaries with quantum statistical queries, Quantum 9, 1817 (2025)

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.380172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.380172Z digest=sha256:7a2c281c664f50ed266c4157037ee6d377e66096bded06bf6fe10966b1fab615

Observation e96f0ab8-17c2-4f4a-9cd6-484c9c0cd922 · outbound

This paper cites Sun and Z.

Optimal Distributed Similarity Estimation of Quantum Channels Sun and Z

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.425101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.425101Z digest=sha256:37906786079ff650e2da74c75b73d8d9a4e3a152b2ff42de4b83f17998966f1b

Observation 78cd68f2-f70d-4fe1-95c2-cbe0bc893528 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.530551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.530551Z digest=sha256:fc25dd6c2e28064b069ca327bed3f6806948242ba7cdfc150e3c1b719b5be792

Observation 0881ac84-2c17-4cdb-b6cd-5908b1b498aa · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.616750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.616750Z digest=sha256:e2be8f43d95a79b2836b2d00a84bd82ec6499fb382f21d4761bc41f81308d67a

Observation 6eb566b9-cc61-4cf3-8790-1e2651b743d0 · outbound

This paper cites Eisert, D.

Optimal Distributed Similarity Estimation of Quantum Channels Eisert, D

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.706235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.706235Z digest=sha256:77ff2912b490c98996bf4686e875dca04cd99cc0cf53d15bf18379d664482204

Observation 4002a43c-932d-4795-953b-58cac00172ea · outbound

This paper cites Fawzi, N.

Optimal Distributed Similarity Estimation of Quantum Channels Fawzi, N

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.773935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.773935Z digest=sha256:be89937a53fe744809c60968e8afd99a188eb55967f5efcb41549ae3958805ac

Observation d5b7ffaa-1953-423e-96d9-e02ca20fc96f · outbound

This paper cites Kliesch and I.

Optimal Distributed Similarity Estimation of Quantum Channels Kliesch and I

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:09.907746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:09.907746Z digest=sha256:801ae233874e1e56f227fd760dd3252c1bd4a750c0930412425644e287c47f78

Observation f022d31f-5601-461e-9f00-fdafe7277e70 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:10.049862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:10.049862Z digest=sha256:2d11bfdf18fb987efc487f381b235b3a0e556e403e878bd8081e3b00ea492fe6

Observation 9c8b12f8-3b36-46d1-a8f7-744c5500fe0d · outbound

This paper cites Quantum Channel Testing in Average-Case Distance.

Optimal Distributed Similarity Estimation of Quantum Channels Quantum Channel Testing in Average-Case Distance

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:10.271574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:10.271574Z digest=sha256:60f97f339fa9c0c3bedeae0c80ecde201de0f4d484d68292df38083d04172a04

Observation 8b5b31dd-80a9-4dc2-a2e5-9cc3adb1d9f3 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:10.404984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:10.404984Z digest=sha256:4cffb13fb43b5c1508cd252a6431d43f0422750c880ff7279cc7fb24f7107c4d

Observation aea8e740-5d8d-4e0b-809c-b634eda89eda · outbound

This paper cites Kunjummen, M.

Optimal Distributed Similarity Estimation of Quantum Channels Kunjummen, M

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:10.554169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:10.554169Z digest=sha256:d07de3c0bbedf6d3e072e46a8a9d25f29e276e5c3277c89770b6f203e3460820

Observation 1d7085d6-4f5c-4019-a0e8-e4c922fe7a41 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:10.674148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:10.674148Z digest=sha256:8b3f9702b53ee11429becfc9d52ad2f9206554a908321387e88c4f99be08460b

Observation 3ba71848-772d-4a8a-b233-5172891526f3 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:10.775691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:10.775691Z digest=sha256:4897d306256ddc53619cd639a879cedfa1e551b6ba6d69d813b4233d413b7ce7

Observation 519e1e03-ffb4-4b30-b3c7-70688107cdc9 · outbound

This paper cites Elben, S.

Optimal Distributed Similarity Estimation of Quantum Channels Elben, S

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:10.865566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:10.865566Z digest=sha256:1a7e6483ac1ec9fc8ce11e9554c83033b0d6a34b5e7533f15d6dc535a9ab3e27

Observation c3fd7d19-f169-4595-8762-cf6c8e08ca10 · outbound

This paper cites Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Reports on Mathe- matical Physics 3, 275 (1972).

Optimal Distributed Similarity Estimation of Quantum Channels Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Reports on Mathe- matical Physics 3, 275 (1972)

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:10.996741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:10.996741Z digest=sha256:377986467a9b6680eafd55ce7fc0638a10479c8ccaa7c8c6d70f9cf2ef85ed22

Observation a376a31d-45d2-4354-9338-57d6087a5e9a · outbound

This paper cites Liang, Y .-H.

Optimal Distributed Similarity Estimation of Quantum Channels Liang, Y .-H

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.093887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.093887Z digest=sha256:be899f514148b89d1a1614e193b642454be2162247d66f7b41333781c49cfb99

Observation b5a224eb-cd51-493c-bc5d-6516a11289b7 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.282738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.282738Z digest=sha256:84c5b06915dd3952f8687f2c46af5cf6ac9124865f1045e548e04ac033753456

Observation d8a9f1dc-8a74-4c10-b968-e47f1f52e0de · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.407514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.407514Z digest=sha256:17f42179c0e5b0c8670f74983430c50062fcaffb6f46b604545e58ae4d73781a

Observation 47f6c79d-a276-4d19-b159-1f0434b679ef · outbound

This paper cites Huang, M.

Optimal Distributed Similarity Estimation of Quantum Channels Huang, M

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.485752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.485752Z digest=sha256:f01a5a4c96bba368c3a40dea041daaba5714a83e11a1bdc593dce8c79c500db2

Observation c5744843-f99c-4791-946a-3b7007ecb9cc · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.565241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.565241Z digest=sha256:bdd9d6eaff19be9e00c51e4ee05da877999afa85336fb7786fc60a2e3a1223e7

Observation 3334eb6d-ea05-4abf-a0ed-871c923b178c · outbound

This paper cites Jeon and C.

Optimal Distributed Similarity Estimation of Quantum Channels Jeon and C

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.649856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.649856Z digest=sha256:7098b6f171bbb19658aec999e1f7403821176012efb75839fe67895e9c393b45

Observation 037cc945-7aa8-4c7c-9d15-a5ad8dd8ef73 · outbound

This paper cites Yu, Assouad, fano, and le cam, in Festschrift for Lucien Le Cam: Research Papers in Probability and Statistics(Springer New Y ork, 1997) pp.

Optimal Distributed Similarity Estimation of Quantum Channels Yu, Assouad, fano, and le cam, in Festschrift for Lucien Le Cam: Research Papers in Probability and Statistics(Springer New Y ork, 1997) pp

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.717508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.717508Z digest=sha256:30f6ed32e0eacc415de793f83d1b6dcf53d6d819eabdc7ca98db679531db0cd4

Observation 8c32fd70-26e5-4485-ac78-3917ee73cb00 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.812750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.812750Z digest=sha256:ade725a107499ed08e21bbff0f313b33f8d4b51ec0bda1ee4a3ecbd57188f58c

Observation 18b2e56c-b1d8-49a5-b64b-cb6c8fa54651 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.860099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.860099Z digest=sha256:3f8eb0a2319ebe10eefafdefb4d9d695464a79ff39db7a66ba1c50d0d39e59bc

Observation 16ca66b2-8c8a-40ae-9699-1c54841bbc48 · outbound

This paper cites Chen and W.

Optimal Distributed Similarity Estimation of Quantum Channels Chen and W

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.904938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.904938Z digest=sha256:eb975cc5a3cbb4a536f07cbc3994a06d5feedb5a36d3d14611280158f763cd62

Observation 5556cd6b-abd8-4162-a9ef-4b53a9f12ded · outbound

This paper cites Schuster, J.

Optimal Distributed Similarity Estimation of Quantum Channels Schuster, J

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:11.981400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:11.981400Z digest=sha256:7946360ee4b907f92b780e759dad9e0cd21035a98138ef10f2b76254b3fe6a2e

Observation 0c0602b8-27b5-4352-a9d6-53481a7c49a3 · outbound

This paper cites The Church of the Symmetric Subspace.

Optimal Distributed Similarity Estimation of Quantum Channels The Church of the Symmetric Subspace

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.066201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.066201Z digest=sha256:d5d87628ad2aaf60ee2617a878880cfa35bf95311c4bc6cdb9853c5f6703a128

Observation 299c8205-c2cc-4072-a107-08daec9e3558 · outbound

This paper cites Grier, H.

Optimal Distributed Similarity Estimation of Quantum Channels Grier, H

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.168832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.168832Z digest=sha256:9c49352be53d7d25b77b4ddf58072ba92d15404ef92e3fd14d8d00a41e465d1d

Observation 2a157183-ce2b-42d7-bd34-fa3693dbce9e · outbound

This paper cites Conjugate queries can help.

Optimal Distributed Similarity Estimation of Quantum Channels Conjugate queries can help

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.222768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.222768Z digest=sha256:d92590ea5a4ca1c0d5ec44672c34050d8099896c7c0f3e51c0d35881067d50ec

Observation d071e2bd-c188-4dfa-a81e-ac3205994f0a · outbound

This paper cites Pelecanos, J.

Optimal Distributed Similarity Estimation of Quantum Channels Pelecanos, J

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.283847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.283847Z digest=sha256:ca6ddac7e41470cc8a90cf8e7ff6832d737c4fe1d6daf1dc7be0627f496ac2c2

Observation ca5d05be-0dfe-47e2-a656-148904c97c2f · outbound

This paper cites Ananth, A.

Optimal Distributed Similarity Estimation of Quantum Channels Ananth, A

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.334071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.334071Z digest=sha256:0d12db75a9a52d37e8bfa3f56e9902ae2468bd8dd968fda046a5a97ab2290bba

Observation 4e6e61be-d75b-4368-bc17-fda86110181d · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.405035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.405035Z digest=sha256:bb760bb7216ff021549a020b99bebc95e2b2982788c0a072bd30eed9c943bba1

Observation 42ad6b14-8078-4731-939f-6c04fe52e3df · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.473629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.473629Z digest=sha256:3301214803ae11781f37b52a94e8875fafa792c21e630e90600a7309e4f92988

Observation 6e743c00-bdf9-49de-b590-51c3d4c3b971 · outbound

This paper cites Chiribella, On quantum estimation, quantum cloning and fi- nite quantum de finetti theorems, in Theory of Quantum Com- putation, Communication, and Cryptography, edited by W.

Optimal Distributed Similarity Estimation of Quantum Channels Chiribella, On quantum estimation, quantum cloning and fi- nite quantum de finetti theorems, in Theory of Quantum Com- putation, Communication, and Cryptography, edited by W

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.547408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.547408Z digest=sha256:7338fa578af317a435c86a0b66b01eea7a090de1ad23c244cf04dda38b3f0112

Observation a1b5b42b-aa13-4174-a53b-d45b88d13d97 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.609495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.609495Z digest=sha256:9b7bfaced2ac64c96ae5875d08b7f2150b85a6008bdf59533f0488c13b33965c

Observation 3301f665-e075-4c03-a231-5f5ba9f70532 · outbound

This paper cites Lower Bound 10.

Optimal Distributed Similarity Estimation of Quantum Channels Lower Bound 10

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.671028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.671028Z digest=sha256:78860058034e56acfa7519abab1c8a5d98fbfa6048ecfc0d4a620782679f5452

Observation 68d3afc7-9805-41d0-b139-4a6547d7d970 · outbound

This paper cites Proof of Theorem 1 11 b.

Optimal Distributed Similarity Estimation of Quantum Channels Proof of Theorem 1 11 b

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.734033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.734033Z digest=sha256:831293645f5ab1dfa05866817ce971982b857d12c9edf3ff65cca8833094a433

Observation cee03e8a-d084-48a0-bce6-ea263c47a7a2 · outbound

This paper cites Proof of Theorem 2 13 b.

Optimal Distributed Similarity Estimation of Quantum Channels Proof of Theorem 2 13 b

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.819185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.819185Z digest=sha256:a9247b12740a3892a8af6908c820a5c445b1d16b709ffee904934276c93b1131

Observation 260b161d-acb9-489c-8705-bb83ed23ea68 · outbound

This paper cites Distinguishing Problem for Estimation 17 b.

Optimal Distributed Similarity Estimation of Quantum Channels Distinguishing Problem for Estimation 17 b

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:12.924073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:12.924073Z digest=sha256:df8b7f28cb86e06925627ee31d175fdc2def98b9e753a206c1065f325e6347ea

Observation 851371ef-307d-43a2-9d19-61d544d93911 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:13.031142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:13.031142Z digest=sha256:042945ce9f1c98cd04cf8be0054ff997c21d4465a63c9e7fdc084ce6e2a22d7a

Observation f2f0b41c-82be-4810-a553-1fcd8df33d7a · outbound

This paper cites DSEC with Independent Classical Shadow 23.

Optimal Distributed Similarity Estimation of Quantum Channels DSEC with Independent Classical Shadow 23

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:13.126326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:13.126326Z digest=sha256:33e9f951ddbe6b6e0172a61a9af22942b869a4eecda35ece1dd57fec801c1bc5

Observation 0e8b24e5-234a-43ff-85da-47ee55e5f595 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:13.249412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:13.249412Z digest=sha256:c162ad8cbb6e35f96cfa7991f5019f444c09892d171771f98b99fe524c3a3ea5

Observation 28dbaa7d-8ba3-41ff-80d0-dd6e10821b48 · outbound

This paper cites Then, we introduce two central tools utilized in this work: the Haar measure and approximate unitary designs.

Optimal Distributed Similarity Estimation of Quantum Channels Then, we introduce two central tools utilized in this work: the Haar measure and approximate unitary designs

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:13.404310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:13.404310Z digest=sha256:ab35900d868fbf6a61edc7bed846ad9716e8095c6e0fb333cc900b4c460ec931

Observation 3118fdbf-b880-4365-8594-8e86371ea122 · outbound

This paper cites The set of Hermitian operators on H is denoted by B (H ), and the set of density matrices on H is denoted by D (H ).

Optimal Distributed Similarity Estimation of Quantum Channels The set of Hermitian operators on H is denoted by B (H ), and the set of density matrices on H is denoted by D (H )

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:13.546018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:13.546018Z digest=sha256:79f46371ae8f6635cd91fa5d50f5ec5105d6a115a45f5b928df21b534ad5c555

Observation 40ef6ad9-7546-4e1d-ac86-c5eb500edc51 · outbound

This paper cites The Haar random channel is defined as E (𝑘) 𝐻 (𝐴) := 𝔼𝑈∼𝜇𝐻𝑈 ⊗𝑘𝐴𝑈†⊗𝑘, 𝐴 ∈ B (H ⊗𝑘).

Optimal Distributed Similarity Estimation of Quantum Channels The Haar random channel is defined as E (𝑘) 𝐻 (𝐴) := 𝔼𝑈∼𝜇𝐻𝑈 ⊗𝑘𝐴𝑈†⊗𝑘, 𝐴 ∈ B (H ⊗𝑘)

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:13.722163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:13.722163Z digest=sha256:3c0b82c87d03e25b12f5da10140049badbf56980184f62cfbcd9ca5e60879769

Observation b82d0637-8c12-48fb-9c95-e27275a8e824 · outbound

This paper cites Here E1 ⪯ E 2 denotes that E2 − E 1 is a completely-positive map.

Optimal Distributed Similarity Estimation of Quantum Channels Here E1 ⪯ E 2 denotes that E2 − E 1 is a completely-positive map

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:13.896402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:13.896402Z digest=sha256:938c19f3d230150f39be6c640a1823987cd5548058d777356f39f77f2261a421

Observation 76ad78b7-80e3-48b2-b3b6-7d3cde84f417 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:14.019895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:14.019895Z digest=sha256:b148848b4f6c42dbd3793e70e43860d99d05f96378ad2b7a6a2bb88565766160

Observation 10e87d58-afc5-4566-9a27-0cc7c4dfbd5f · outbound

This paper cites Define the Choi operators of𝑈 and𝑉 as𝐽𝑈 and𝐽𝑉 , respectively.

Optimal Distributed Similarity Estimation of Quantum Channels Define the Choi operators of𝑈 and𝑉 as𝐽𝑈 and𝐽𝑉 , respectively

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:14.180255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:14.180255Z digest=sha256:555d6ef159fcdb6535832aa306ce659da437d659a23de9b2b478751dbfea9708

Observation 5f1d5967-f8fb-4bca-88ab-840f7fcb80d8 · outbound

This paper cites First, we introduce the tree representation of channel learning with incoherent access, which is a powerful tool in proving lower bounds for learning tasks [ 41, 44, 47–49].

Optimal Distributed Similarity Estimation of Quantum Channels First, we introduce the tree representation of channel learning with incoherent access, which is a powerful tool in proving lower bounds for learning tasks [ 41, 44, 47–49]

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:14.326040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:14.326040Z digest=sha256:f4836e04d95bebbeef64293dc039ec22459134bd5a47c94ce6ab0d2950caa3c4

Observation 48a211db-5e06-43e5-bc08-9c2e34823005 · outbound

This paper cites 𝔼𝑈∼𝜇𝐻𝑝𝑈,𝑈 − 𝑝D TV = 1 2 Õ ℓ 𝔼𝑈∼𝜇𝐻𝑝𝑈,𝑈 (ℓ) − 𝑝D (ℓ) (B16) = Õ ℓ:𝑝D (ℓ) ≥𝔼𝑈∼𝜇𝐻𝑝𝑈,𝑈 (ℓ) 𝑝D (ℓ) 1 − 𝔼𝑈∼𝜇𝐻𝑝𝑈,𝑈 (ℓ) 𝑝D (ℓ).

Optimal Distributed Similarity Estimation of Quantum Channels 𝔼𝑈∼𝜇𝐻𝑝𝑈,𝑈 − 𝑝D TV = 1 2 Õ ℓ 𝔼𝑈∼𝜇𝐻𝑝𝑈,𝑈 (ℓ) − 𝑝D (ℓ) (B16) = Õ ℓ:𝑝D (ℓ) ≥𝔼𝑈∼𝜇𝐻𝑝𝑈,𝑈 (ℓ) 𝑝D (ℓ) 1 − 𝔼𝑈∼𝜇𝐻𝑝𝑈,𝑈 (ℓ) 𝑝D (ℓ)

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:14.434610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:14.434610Z digest=sha256:bf15256c0163a96938c6255b65806355d56cdc0b6fce8dc5edfb9a2ea4556085

Observation cec808c4-e7c1-41ef-9c21-7da5f96fa18f · outbound

This paper cites (B26) Therefore, we have 𝑝D − 𝔼𝑈,𝑉 ∼𝜇𝐻𝑝𝑈,𝑉 TV ≤ 1 − 1 − 𝑇 2 𝑑 2 ≤ 2𝑇 2 𝑑.

Optimal Distributed Similarity Estimation of Quantum Channels (B26) Therefore, we have 𝑝D − 𝔼𝑈,𝑉 ∼𝜇𝐻𝑝𝑈,𝑉 TV ≤ 1 − 1 − 𝑇 2 𝑑 2 ≤ 2𝑇 2 𝑑

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:14.571401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:14.571401Z digest=sha256:7d1057acdcb901bc9705b9db8b77f21ce80d0b9c93c7fe0006f0c157815d5e28

Observation e19be8b4-d423-45f3-bf1e-b4e28564397f · outbound

This paper cites measure-and-prepare.

Optimal Distributed Similarity Estimation of Quantum Channels measure-and-prepare

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:14.667368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:14.667368Z digest=sha256:eb8de54aaeb5b9774fc790582b22b2407a1e3672cf86d3a9d10505ad6c3e9051

Observation 76686af4-cd1d-4e43-ad0b-deb48e388c28 · outbound

This paper cites The proof is similar to [ 15].

Optimal Distributed Similarity Estimation of Quantum Channels The proof is similar to [ 15]

Reference 86

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:14.817256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:14.817256Z digest=sha256:59ae000427e11c72022082f235be79d25fcdd137182f43f01705ae9a7857d6f4

Observation 8eb60998-6818-41ab-877d-d9ce58aa958b · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:14.937908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:14.937908Z digest=sha256:15a695fc3d24c91f4ad9fdc617c13fc01ebdecf2d27d57069a111f5899b6f8e5

Observation f5e3819c-804d-4c11-a782-ddc9649c2a2a · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.058194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.058194Z digest=sha256:3415795ade06bb29d4d2aed9765d59c9e52fb8e396acae2d243569d88fba6fa3

Observation c72e3aa4-d384-4d4e-b197-08190daf3e71 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.151171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.151171Z digest=sha256:0f064dddfddf3d854b51abed9872d06d05bcf4b535f5b7a04cedfb64fd5bf7b6

Observation 27aea66f-5080-4538-b9fc-085b2a6d4299 · outbound

This paper cites The performance of the estimation algorithm 𝔸 guarantees that if the result 𝑓 is in case 𝑖(𝑖 = 1, 2), then |𝑓 − 𝑓𝑖| ≤ 𝜀/100 holds with probability at least 0.99.

Optimal Distributed Similarity Estimation of Quantum Channels The performance of the estimation algorithm 𝔸 guarantees that if the result 𝑓 is in case 𝑖(𝑖 = 1, 2), then |𝑓 − 𝑓𝑖| ≤ 𝜀/100 holds with probability at least 0.99

Reference 90

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.226853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.226853Z digest=sha256:303036048863adc12cb813714e673eee84abeb91c82fbc013f75150ea47f9efa

Observation a3e0b05b-30e2-46c7-9c80-d38f353f3b57 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 91

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.305013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.305013Z digest=sha256:75280ca26b8dff88ef8233368273a8656d4fc1762c10fb01b85354a06342b1a5

Observation 0985e9f0-8f2f-4155-bfcf-5eb0bb4e8032 · outbound

This paper cites It should be noted that Problem 2 is equivalent to Problem 3, as these two problems have the same average inputs.

Optimal Distributed Similarity Estimation of Quantum Channels It should be noted that Problem 2 is equivalent to Problem 3, as these two problems have the same average inputs

Reference 92

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.394773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.394773Z digest=sha256:579bac20fd105ab3eaa03e4606525023ad95e1912e13f3162538f541194108e6

Observation e3988491-9e42-4ef8-810a-44dcc0011dc0 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 93

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.473691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.473691Z digest=sha256:536ad657524269849e617c0a1897719ffabc4e5864b10601fae281b64ec7598a

Observation c334e820-664a-4fb2-a77e-241c32479fcc · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 94

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.557022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.557022Z digest=sha256:ad0b7358b0799bd672816ac554d782cbbe59efcc88ad6c559e4e5a660696c51d

Observation a804b264-aaf4-49f0-b785-968e54b6e4dc · outbound

This paper cites It should be noted that we can simulate the input of Problem 3 with high probability, since 𝐾 = 100𝑇𝜀 + 100 ⇒𝑡 ≤ 𝐾 with high probability.

Optimal Distributed Similarity Estimation of Quantum Channels It should be noted that we can simulate the input of Problem 3 with high probability, since 𝐾 = 100𝑇𝜀 + 100 ⇒𝑡 ≤ 𝐾 with high probability

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.632169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.632169Z digest=sha256:1be490610eb564e556fc10fab54e4457cc5cb70420e2e29cce9b3263a4abfba9

Observation b3decc81-e846-423d-8b52-b1bb0bbe4e53 · outbound

This paper cites Let 𝐽𝑈 and 𝐽𝑉 be the Choi operators of channels U and V.

Optimal Distributed Similarity Estimation of Quantum Channels Let 𝐽𝑈 and 𝐽𝑉 be the Choi operators of channels U and V

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.687783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.687783Z digest=sha256:f80af44e48bb95bce513c0252cf2b0e81578d0be78294c165042930576eb7c97

Observation cc5eba8a-ecdf-4b8a-ada6-f1ac4e25f115 · outbound

This paper cites The algorithm solving DSEC with incoherent access is summarized in Algorithm 2.

Optimal Distributed Similarity Estimation of Quantum Channels The algorithm solving DSEC with incoherent access is summarized in Algorithm 2

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.763950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.763950Z digest=sha256:1da8a80573e0c8ab698cd024db398b69d932ee7798f7a334262bac6b3db44ab4

Observation 67954322-5895-41f3-b6f5-ebd37ee4575a · outbound

This paper cites (C31) As shown in Eq.

Optimal Distributed Similarity Estimation of Quantum Channels (C31) As shown in Eq

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.819814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.819814Z digest=sha256:f57c4f298fdb6456df6f3c8595fba4caa2c7ada6d865231ba8491c5cd10a927c

Observation a15f14f9-9b5e-4d2d-9394-39d7c56af5c3 · outbound

This paper cites an unresolved cited work.

Optimal Distributed Similarity Estimation of Quantum Channels Unresolved cited work

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.903687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.903687Z digest=sha256:931ad4f721706ba995e8640c3559515f54e790b28ca9100dd5ceb0176cd882e1

Observation 7b2f071b-0394-44ae-b64e-9b229ee34f52 · outbound

This paper cites Given an unknown unitary channel U (·) = 𝑈 (·)𝑈†, we can obtain the following classical snapshot by inputting the state |𝜓⟩⊗𝑠 and performing the POVM M𝑠 (defined in Eq.

Optimal Distributed Similarity Estimation of Quantum Channels Given an unknown unitary channel U (·) = 𝑈 (·)𝑈†, we can obtain the following classical snapshot by inputting the state |𝜓⟩⊗𝑠 and performing the POVM M𝑠 (defined in Eq

Reference 100

Resolution
unresolved
no resolver link, observed 2026-08-03T17:21:15.989628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:21:15.989628Z digest=sha256:c1419087221ed041022b671a603d6c1573b4aa0d28d2f3107b15b3e073806acf

Pith citing papers

Observation c0847e57-38ff-4965-a79c-5571c7bf42c0 · inbound

Worst-Case Sample Complexity Bounds for Distributed Inner Product Estimation with Local Randomized Measurements cites this paper.

Worst-Case Sample Complexity Bounds for Distributed Inner Product Estimation with Local Randomized Measurements Optimal Distributed Similarity Estimation of Quantum Channels

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-06-03T02:05:11.936047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-15T02:45:06.689198Z digest=sha256:ca8aaff5562a3c2eabc0cf23eda3e2154dd85f34866753cfdd1782cc66286db8