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Paper Citation Record · LEDGER

Random approximate quantum information masking

As of 16 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 1 inbound Pith citation observation for arXiv:2507.19454.

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

pith.paper-citation-record.v1
2507.19454 v1

Coverage vector

measured 77 of 77 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:02:14.954263Z

measured 78 of 78 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:05:36.298226Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

77 of 77 outbound references displayed

  • verified exact2
  • verified fuzzy44
  • unresolved31
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 54b59bb3-8c6e-45d2-93f9-06d727da9b3d · outbound

This paper cites Hillery, V.

Random approximate quantum information masking Hillery, V

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.628920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.628920Z digest=sha256:5f3d8fae6b1a6423bcdd79381f26ca687eb5060a3e7c6972a794e09c30209fa6

Observation 8b1028dc-5396-420f-a2bb-eb5014c2e51d · outbound

This paper cites Cleve, D.

Random approximate quantum information masking Cleve, D

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.633312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.633312Z digest=sha256:6b59adeb6b918ca525461dcc3c02aa98fc1544abbd18736a5895754378ba990d

Observation 4b0cfe51-b167-4f67-92a1-19145c2a04ba · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.638355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.638355Z digest=sha256:a9676a772b3cdd41f6376ba4fddece3cbd1ee010ec059b93e093ed2dc775945a

Observation 99e00b92-6956-4c9a-8cba-8e1be16c910b · outbound

This paper cites DiVincenzo, D.

Random approximate quantum information masking DiVincenzo, D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:16.120751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.642783Z digest=sha256:2c5ba3471d96785135cff5c98c1c222481f3851561e79a0671d136c1fe786171

Observation bdeb1fb8-894b-471e-bc6f-0b3b661fd163 · outbound

This paper cites Lloyd, Capacity of the noisy quantum channel, Phys.

Random approximate quantum information masking Lloyd, Capacity of the noisy quantum channel, Phys

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.646682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.646682Z digest=sha256:09201ab520603072101304083a772d62ce653d28931fb3e5fa40ff37f2c5fbb9

Observation ee79909b-39ea-4f98-83ef-61dab810a27b · outbound

This paper cites Barnum, M.

Random approximate quantum information masking Barnum, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:16.099971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.650859Z digest=sha256:881829aded47ca8570ce19aaad49a922e8a48dbf2ac07909b63ae8ff229411e0

Observation dd3ae109-1e08-4bcc-a135-f90b78fa46b7 · outbound

This paper cites Quantum coding theorem from privacy and distinguishability.

Random approximate quantum information masking Quantum coding theorem from privacy and distinguishability

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:02:15.153536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.655204Z digest=sha256:e42018744e9abf00fdb2bdba7043f0d039b05559297a5bf831f20b4b6ff79866

Observation 73765b60-9422-4246-8ce6-7997ccb61530 · outbound

This paper cites Hayden, P.

Random approximate quantum information masking Hayden, P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:16.084514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.661210Z digest=sha256:d052524843171f62c6aeadbeb4b968f64bfb61df0c2adca3400a18de2da5fab5

Observation b6a18121-b341-4fbe-83e6-1ffd90efdb90 · outbound

This paper cites Both terms cannot be made small simultaneously irrespective of the choices of d1, d2, and dC, as illustrated in Fig.

Random approximate quantum information masking Both terms cannot be made small simultaneously irrespective of the choices of d1, d2, and dC, as illustrated in Fig

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:16.162011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.622110Z digest=sha256:b23626c74f176d1eeca15a14c59dfba6510b32786c5e510b10271945c036017f

Observation 1aa31365-e3d7-4c5a-9f6d-389d8209b5df · outbound

This paper cites Hayden and J.

Random approximate quantum information masking Hayden and J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:16.066532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.666379Z digest=sha256:5d335f67822a6ea94de342bc7668ad106e65eed227da6329fe1c5fb7a2195f94

Observation bd18e80b-fa02-4970-bfd7-c256adc45764 · outbound

This paper cites Sekino and L.

Random approximate quantum information masking Sekino and L

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.670733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.670733Z digest=sha256:5800a75544a35d8a1e1f9859f4856f17922b9a9d1027a5ce229549b8dc598523

Observation 2b7011ce-0fc0-4bd1-9a52-748c88586126 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:16.036098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.675014Z digest=sha256:7d56157dcf16d20b9dcdeeb33371ceb8de63261cf5efc0b95359f55be5f2a19f

Observation ae6c8a50-21ee-45a1-aab6-563a4546e0df · outbound

This paper cites Stabilizer Codes and Quantum Error Correction.

Random approximate quantum information masking Stabilizer Codes and Quantum Error Correction

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.679691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.679691Z digest=sha256:51d08ed41a6492337faf834336cea01c70fb8cf94d9cccab93f630f4d43801ac

Observation 722836cf-bd37-4cb6-936a-9e70e306c25a · outbound

This paper cites Knill and R.

Random approximate quantum information masking Knill and R

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.684112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.684112Z digest=sha256:04fe07b8a64cafd15ee0e46efb28d7fae69a4297813ec801665f4f32c2e652b1

Observation 3e484d0a-02a4-4d84-b3cf-79005b4f5372 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.687959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.687959Z digest=sha256:d130553b3814ea4cbac0f68ab2ba3ad5c0e684194ed31ac9f2d0ae6854c6ae67

Observation 346c04f8-16e4-42ae-8988-65e4614c1963 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:16.005246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.692209Z digest=sha256:32618777e2ee812da642b5d55ae305060d81d2917a9185c90d8cffc130fb7c59

Observation 7cd0165c-f8e7-47bd-8275-7f5b3377d86f · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.696482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.696482Z digest=sha256:7122dda9520005f8f180b7be6821e88b0df4c2a9f1d10fb592779baf37ff00b6

Observation 5daee4f5-d0cb-4ad1-8bfb-62cf8ad98094 · outbound

This paper cites Liang, B.

Random approximate quantum information masking Liang, B

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.980937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.700328Z digest=sha256:a32dee23ee93d3206e5c8f4156ed58db5b3476e78758bb325c51635f9104ba5d

Observation 4afe23f4-419e-414a-9e17-539b3137a93a · outbound

This paper cites Ding and X.

Random approximate quantum information masking Ding and X

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.966536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.704560Z digest=sha256:967aeadcacb2203fb52bbd9586a134c4d775fa749d8b317c20b277affdfb8f48

Observation 873aa560-3ddb-4ba0-8dde-b26d891cf132 · outbound

This paper cites Zhu, Hiding and masking quantum information in complex and real quantum mechanics, Phys.

Random approximate quantum information masking Zhu, Hiding and masking quantum information in complex and real quantum mechanics, Phys

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.709061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.709061Z digest=sha256:7e1fe5782a99eec123f68e6ae0d48090a94ebfd2cdf323ab3c7fd6f9d6cfeaf6

Observation 2b269db6-db8a-4e4c-a0d2-04d2b86dc582 · outbound

This paper cites Li and Y.-L.

Random approximate quantum information masking Li and Y.-L

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.712630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.712630Z digest=sha256:d4d4e3439a2add087e4d33b489cab9db4d7e0f51e808c0b5002b1536ba9059f0

Observation a7393def-d895-4ccf-b361-226307fa34d2 · outbound

This paper cites Shi, M.-S.

Random approximate quantum information masking Shi, M.-S

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.932011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.716037Z digest=sha256:30f208dcf49b73fb7e18847ef3923dcd76f67716a758d5a3105fc6c546389a63

Observation 7009c7cc-1a22-4875-9fac-ce220c34a356 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.719815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.719815Z digest=sha256:48c8dd3f0b17d0748c891c817efa2dfee09c910b7cd4cfa6a1febe734a935663

Observation 69b49a50-81cb-45d9-aa97-0409d6b8a43d · outbound

This paper cites Srednicki, Chaos and quantum thermalization, Phys.

Random approximate quantum information masking Srednicki, Chaos and quantum thermalization, Phys

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.722989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.722989Z digest=sha256:fe23e92a501dbfd7005ff97360d172e16a28f138bc21c16518ea9f977826bf6b

Observation a754f0e3-f78e-4a80-b56a-b7b1038980cc · outbound

This paper cites Popescu, A.

Random approximate quantum information masking Popescu, A

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.900151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.726379Z digest=sha256:30901d4873c2305b653ece6324b21a94e85e483267ea641a72d6234065552ba0

Observation 93488fcd-e918-4b52-9f41-1bfadabd8198 · outbound

This paper cites Rigol, V.

Random approximate quantum information masking Rigol, V

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.730323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.730323Z digest=sha256:a376d97e5a8aeab1700f002f28a3119a3ec150e3e06213c7636e39289f6fcf90

Observation f514d27d-7502-448d-ba9f-d29d9e684d81 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.733694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.733694Z digest=sha256:b95cc7e7fbf819ed4a78e847c3d1d166b6051fcf99681d499baf927841c6ae17

Observation 770120ad-44b8-4272-beca-29512176ebf6 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:15.859646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.738269Z digest=sha256:4d5aae1ea73c272716ea8e9ca6aa8098ab994f6694ec9211cf1029218d85576d

Observation dbbdfa76-2a9c-4071-91cc-cbf50e801862 · outbound

This paper cites Faist, S.

Random approximate quantum information masking Faist, S

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.840430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.742494Z digest=sha256:70b6bdd3d0b69a1fc9b30080791fbe46c823a1adcf937ff63c406721e936f436

Observation 134f1e56-cd8d-4373-89f6-f59126eec730 · outbound

This paper cites Li, S.-h.

Random approximate quantum information masking Li, S.-h

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.822825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.747340Z digest=sha256:31de7f1a624311b854b0d175dd3f1b44f84d8ab048949de18ed6e86b7ffbf9e3

Observation dc81f733-66a8-4054-8124-703607f9095b · outbound

This paper cites Li and K.

Random approximate quantum information masking Li and K

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.809079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.751200Z digest=sha256:e7f894d11ee4cab0f2d298c21eecfea8130b49ace7581729a33f7ca9b6ec749c

Observation 7a022d69-6ce5-4504-89e8-411186cdfab6 · outbound

This paper cites Harrow, P.

Random approximate quantum information masking Harrow, P

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.795371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.755044Z digest=sha256:9a292c6d17e0e5f92160d795188c8b35652f9c381f067ad05f9cd4a529ad2378

Observation 8ec0af9a-a081-4511-86f4-562d84d96182 · outbound

This paper cites Hayden, D.

Random approximate quantum information masking Hayden, D

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.774661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.758810Z digest=sha256:1e587f4765a9c737693a775c2faacb75f329ad7f23a93f2219a56b63077c1aa7

Observation 53536ded-a6a8-4333-bc6d-f5bc1b340678 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.763034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.763034Z digest=sha256:7ffe6e19600b32f0b7732be0bcea5bcad2553c2840f616f0f2ed846f8f161fe7

Observation 01ec6add-2c37-438c-9ad3-3cbd5a3acec0 · outbound

This paper cites Aubrun, S.

Random approximate quantum information masking Aubrun, S

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.753851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.766987Z digest=sha256:1163c32ae4bad57829fd56c1aa7500c68ea93e5e134911e407b9f4bcab060a59

Observation a8bb70a7-3e51-4c39-b886-424aac9fa142 · outbound

This paper cites Kong and Z.-W.

Random approximate quantum information masking Kong and Z.-W

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.740901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.771377Z digest=sha256:1e09f6f123e6e7da91ddd131d081eb6f5bebe48e742c2710083b5b521de8ba50

Observation 378224a7-5474-459d-9d59-2af50ec63a3b · outbound

This paper cites Brown and O.

Random approximate quantum information masking Brown and O

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.724763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.775938Z digest=sha256:eec7b99cd90dfccbc3b11a20bdd7a692aae417013980bb51e522a6ab49fd0845

Observation 25836a9c-0533-4617-94b2-9275a702e56e · outbound

This paper cites Brown and O.

Random approximate quantum information masking Brown and O

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.711132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.780013Z digest=sha256:081121745341a8d67ffb6888f12e1d04bcf89b881b3b0e3f61c443299b73faaa

Observation 56218f31-cc16-4d92-8861-1c61ff254250 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:15.698161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.783829Z digest=sha256:243f3610941e6854f60da8b22ab0bdbd0874f0a0a6f9790b2ffcb2d025a5dc1b

Observation 2cea8904-c2e6-4929-ac81-9805e3c4c30f · outbound

This paper cites Nelson, G.

Random approximate quantum information masking Nelson, G

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.684867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.788579Z digest=sha256:7bc6a2c762c311fc820f1d443a46229f21a78a6c8be03ec4c0091f7e95d10cf4

Observation 839e28e7-7294-41d5-b4c2-6d7ed0d5ec67 · outbound

This paper cites Hayden, D.

Random approximate quantum information masking Hayden, D

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.668996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.792603Z digest=sha256:654466009c869f3fbe3cb3d41849e6468dff8fdb099cb5dd4d7227be6d964665

Observation 762e2d7d-ed08-4352-b516-08b537002194 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.796321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.796321Z digest=sha256:135985fd6023e752f999fffe23f70e6554008167d09957326dc9e63ca7caccab

Observation 513b1191-d03d-4991-b321-96e23585843b · outbound

This paper cites Schumacher and M.

Random approximate quantum information masking Schumacher and M

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.646154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.800351Z digest=sha256:bf2f66b98ab3fcdac0466a270ce50b4c7e27eadf591f59350c257e22ec0b8db5

Observation f20e9c24-3635-4226-9527-6eb3fbf5f3df · outbound

This paper cites Cr´ epeau, D.

Random approximate quantum information masking Cr´ epeau, D

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.631138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.804572Z digest=sha256:e7b054cfa34e6a633d069d2e4e2a45a688485b3efc392a6ed0bb9fe6fd28645b

Observation 7a6f7dca-5c45-40c6-b75b-fd7f7e2287e9 · outbound

This paper cites Klesse, Approximate quantum error correction, ran- dom codes, and quantum channel capacity, Phys.

Random approximate quantum information masking Klesse, Approximate quantum error correction, ran- dom codes, and quantum channel capacity, Phys

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.616951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.808619Z digest=sha256:c991824e1dda4d8230d888af480f32574c85414819f7906d0f643b14cb51ed38

Observation b2f89fbd-cf39-4bd2-ab75-cb1d3a95f6f2 · outbound

This paper cites B´ eny and O.

Random approximate quantum information masking B´ eny and O

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.603583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.813890Z digest=sha256:41efd4b66dcb76e7821eb557be24f835aa47fd5544aee9be7472acc77884be10

Observation 376b098b-1eef-4606-858e-f2b12a17a5d6 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:15.587725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.820013Z digest=sha256:7cb253c63cf043a435cbbf80889275bef46fb339754e4feef511fcfc091733b0

Observation 61e382ca-6f06-4144-b543-e4fa7dac0465 · outbound

This paper cites B´ eny and O.

Random approximate quantum information masking B´ eny and O

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.574201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.823863Z digest=sha256:1a8c16087ee716f39988642ee19da72dcd16231ee86d4e060e9ad11e9df2c159

Observation 7c718edd-3d28-41cf-b306-23bc67710100 · outbound

This paper cites B´ eny, Perturbative quantum error correction, Phys.

Random approximate quantum information masking B´ eny, Perturbative quantum error correction, Phys

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.562028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.828364Z digest=sha256:385b2f275984ce6b76424279899931a32cd97ad3e8a0be0ee851f6a24c349229

Observation 413f8436-3780-4c42-bf28-26778fdaa3b8 · outbound

This paper cites Mandayam and H.

Random approximate quantum information masking Mandayam and H

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.548045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.832684Z digest=sha256:62aa9c1c218805aa890df579f5dfb97ebeaa968333739592de6829307b6299ab

Observation cb05a9ca-8fcc-42e5-af03-adb9feb64414 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:15.533524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.837976Z digest=sha256:659d07b5ea3b61bbc9e199f6291a3e6cc76a3ebaf09a949f5f52132d368cc697

Observation 71059638-b992-4fd1-ae38-6f7d2eafec2e · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:15.518377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.842196Z digest=sha256:53bb02d253d72237a77f345c049aa36770a18f73f215d9f7a4a4b132d0a23f48

Observation 53fb6ed3-a82b-4d3e-911f-6480611bc26a · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.846703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.846703Z digest=sha256:72a4a8107d46e8fd9b495524eccb72b8768eff25eb373dd9da9336242ed3d38d

Observation 9c4e0862-0e0d-4fad-a417-4bd6afc426ba · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.852285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.852285Z digest=sha256:260c09103321c73c04f66be293b1d261494254d7ee316fe353c39c58390319b2

Observation bdf47066-c4d5-45b5-8445-b57e9a95a14d · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.856430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.856430Z digest=sha256:83da24f0d448515bcf57e38175dfc92657cc8b869823585163cb08a5a0299a3e

Observation f989cae2-fccc-4e74-9d0d-dc41f2f133df · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:15.477047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.860304Z digest=sha256:57250e36a38a7295801dbaf9bbf1fb2cc14f2f30d5363235f802085eac4529ca

Observation 2ac41885-5d9e-415f-b850-1bac00ef7a37 · outbound

This paper cites Zhu and B.-G.

Random approximate quantum information masking Zhu and B.-G

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.463403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.864246Z digest=sha256:047514423ca33a1900ffa4067c40845f33eae98bf49686947241f13f43d37bc0

Observation 1081e2e3-316e-48f2-892c-043fda0b4b12 · outbound

This paper cites Bryan, S.

Random approximate quantum information masking Bryan, S

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.449591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.868145Z digest=sha256:b998c96392d36cd8a5c48a7533815eeacf176d367363f845332b6f3bd251370c

Observation b223caf6-b63b-4820-b78e-5e4b5d441f7e · outbound

This paper cites Absolutely Maximally Entangled States: Existence and Applications.

Random approximate quantum information masking Absolutely Maximally Entangled States: Existence and Applications

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:14.871708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:14.871708Z digest=sha256:fd8ce422b053b71ad6990fb32c61b11904aff40f8d183fb3025ccdb1bd5e31fd

Observation 39c1a507-c8e9-482f-aa45-986345169f50 · outbound

This paper cites Aubrun and S.

Random approximate quantum information masking Aubrun and S

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.436088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.875671Z digest=sha256:78b6ab8707779bfdac15d031cbb2b9b4d5a03cd79a5186e6877d5b454d95e24d

Observation 5adaeb72-c695-400a-bf54-95dc84ed58e3 · outbound

This paper cites Tomamichel, R.

Random approximate quantum information masking Tomamichel, R

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.420895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.880231Z digest=sha256:33a4b3cc04764e7bd934574e82740f1d4d61077d3bace1944c0599a4064b4f4f

Observation 8d066522-56fa-478a-8502-1f9e9fee9c25 · outbound

This paper cites Wang, Universal quantum computing models: a perspective of resource theory, Acta Phys.

Random approximate quantum information masking Wang, Universal quantum computing models: a perspective of resource theory, Acta Phys

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.406091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.883877Z digest=sha256:4b2edf4945c071585b3f9f35b1ed7287fc9d4e28f45376e11e6f55e9207eb921

Observation ecf1f34e-1768-4c82-af3d-1fccbcade730 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 63

Resolution
verified exact
raw_fallback, observed 2026-08-15T18:02:15.065199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.888320Z digest=sha256:9d2d261550c3bfeb580580ee567f48a87c31805a9bd9a69845588dcd5a55647d

Observation 753a05c4-afd2-4561-a296-2db621bd5df4 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:15.391060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.892022Z digest=sha256:794ede4ab407a25ade5b0af81d03a83b86c54eff7f688c91b36045795ef8e098

Observation dfa450f0-902c-4f6b-a424-bd53722f20bc · outbound

This paper cites Proof of Proposition 2 First, we introduce the following lemma, which allows us to deal with the expectation value taken over the random subspace.

Random approximate quantum information masking Proof of Proposition 2 First, we introduce the following lemma, which allows us to deal with the expectation value taken over the random subspace

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.375485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.896341Z digest=sha256:9b8ec9310c9e3ce4d87bb5c2dd4ea96a45f04ddb17a36318b8ab7dd57973f1b8

Observation 40700909-c8ae-405f-a4fb-7835cc2a5153 · outbound

This paper cites To simplify the above equation, we note that the operator |0⟩⟨0|−| v0⟩⟨v0| can be diagonalized by a unitary W as |0⟩⟨0|−| va⟩⟨va| =W p 1−a2|0⟩⟨0|− p 1−a2|1⟩⟨1| W†, (C13) then Eq.

Random approximate quantum information masking To simplify the above equation, we note that the operator |0⟩⟨0|−| v0⟩⟨v0| can be diagonalized by a unitary W as |0⟩⟨0|−| va⟩⟨va| =W p 1−a2|0⟩⟨0|− p 1−a2|1⟩⟨1| W†, (C13) then Eq

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.362361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.901138Z digest=sha256:5e2360106a16fe4e46c7c55fdbb44c33d6ed5364efc1ed7cbb6e352ad4426746

Observation b2dd8e29-fd8a-49ba-9716-c903d6c5c30f · outbound

This paper cites Using the results of Proposition 5, we can obtain eΛA B1(HB1B2) +eΛA B2(HB1B2)≥ 4− 1√d1 + 1√d2 4 (d12)1/2 d1X i=1 1/2 i 1/2 i− 1 (d2)3/2−i (d1 + 1)−i.

Random approximate quantum information masking Using the results of Proposition 5, we can obtain eΛA B1(HB1B2) +eΛA B2(HB1B2)≥ 4− 1√d1 + 1√d2 4 (d12)1/2 d1X i=1 1/2 i 1/2 i− 1 (d2)3/2−i (d1 + 1)−i

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.340132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.905035Z digest=sha256:6e32326708f985e5d9c4e7034a82d4a386f04e5666efbcc434739f1188d4b97f

Observation bec3d68a-78c2-4dc6-982a-c6b97fe03b9d · outbound

This paper cites Here, according to Appendix B.4.

Random approximate quantum information masking Here, according to Appendix B.4

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.325146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.909612Z digest=sha256:408c1b2899620da5bbb01111ab3f409f181047b465b74b76d839d91eabd984b2

Observation 93bafc66-df9e-4067-9d3c-51c46e37be00 · outbound

This paper cites Now, the proof of Theorem 2 is straightforward as follows.

Random approximate quantum information masking Now, the proof of Theorem 2 is straightforward as follows

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.309935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.915311Z digest=sha256:03e743ee7662117fc874071f2a212a4905a468fe5f1ce2e9d29fb917bf27c5f5

Observation 761b7818-9f03-48c4-b9b4-3122a02ad9b0 · outbound

This paper cites (C43) 21.

Random approximate quantum information masking (C43) 21

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.294820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.923638Z digest=sha256:55e3358de1b508c6d54dfc5d3ab144d9607f3f2642b8c4ed4a31a8a4c815e970

Observation f277420c-07ac-480e-bf06-eb54250485b1 · outbound

This paper cites 2− 4√d1(d1d1)1/2 d1X i=1 1/2 i 1/2 i− 1 (d1)3/2−i (d1 + 1)−i # , (C46) v2 = (2dC− 2)(2d12− 1) (2dC− 1)(2d12− 2).

Random approximate quantum information masking 2− 4√d1(d1d1)1/2 d1X i=1 1/2 i 1/2 i− 1 (d1)3/2−i (d1 + 1)−i # , (C46) v2 = (2dC− 2)(2d12− 1) (2dC− 1)(2d12− 2)

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.281099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.928211Z digest=sha256:5a9d0bddd0bc4fa2402a2ac7968167fec016ed611042a5903554cd60b190398d

Observation d1f3f194-8b1d-4b89-9d45-905ab59e5840 · outbound

This paper cites Proposition 8.

Random approximate quantum information masking Proposition 8

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.266356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.932569Z digest=sha256:8e8be9e6c5acf9f71cd09e398f63ce3e8ff9bba4ade6ed7cd9d36b4e2742f7a3

Observation 0ab1b64c-ba53-4bb7-bf93-3ce01172a9bf · outbound

This paper cites Preparatory work: ϵ-net and Levy’s lemma To prove the results of this paper, we need to introduce two basic tools.

Random approximate quantum information masking Preparatory work: ϵ-net and Levy’s lemma To prove the results of this paper, we need to introduce two basic tools

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.246538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.936712Z digest=sha256:91bc37d44d0fa72863781a6ea19cf9e6a1cae269bb79babf1eb8595e910a8685

Observation 090d8e32-7f1e-46fd-8e75-625ee15dd0b3 · outbound

This paper cites an unresolved cited work.

Random approximate quantum information masking Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:02:15.231428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.941081Z digest=sha256:f981dbaa28882a9d64978185e3011ab8bbb2c07f189272e97c4b89ea5c8fb49c

Observation e3716482-0817-44cb-9a14-96e574bbfbff · outbound

This paper cites As in the proof of Theorem 5, we also fix a subspace HC0 in the Grassmannian Gr(HB1B2,dC) and transform the trace distance D(Π(B1) C ,e1B1) into a function of U ∈ SU(d12).

Random approximate quantum information masking As in the proof of Theorem 5, we also fix a subspace HC0 in the Grassmannian Gr(HB1B2,dC) and transform the trace distance D(Π(B1) C ,e1B1) into a function of U ∈ SU(d12)

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.217507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.945359Z digest=sha256:69ada20e412ba7cada872318d4acbb18833bb09b333b8ae591d02c618624f3ba

Observation 2f54ef7a-08a2-4c5b-b142-5c6f14ad3ce3 · outbound

This paper cites Since eη(E,RS) =p dC(u +α), let γ :=k/m satisfy γ <1/2, then the parameter α becomes α = ˜η2 0 dC −u≈ ˜η2 0 dC −d(γ−1/2)m, (F1) where we have used the approximation u≈dk−m/2.

Random approximate quantum information masking Since eη(E,RS) =p dC(u +α), let γ :=k/m satisfy γ <1/2, then the parameter α becomes α = ˜η2 0 dC −u≈ ˜η2 0 dC −d(γ−1/2)m, (F1) where we have used the approximation u≈dk−m/2

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.201447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.949673Z digest=sha256:86948d2ce0097e55f84de727c4de0435d7bb10cbcf318cfc18c34197edddb24f

Observation 7e05cad8-a568-484a-894c-751adaf9f4c5 · outbound

This paper cites Since eη(E,RS) = p dC(u +α) with u≈dk−m/2, we assume the inaccuracy equals to da(k−m/2) with a> 0.

Random approximate quantum information masking Since eη(E,RS) = p dC(u +α) with u≈dk−m/2, we assume the inaccuracy equals to da(k−m/2) with a> 0

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:02:15.169178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:02:14.954263Z digest=sha256:35f203867b04c07b972307b423292e9fdd20f2449cc4a2f3ba75751e0d6bc44a

Pith citing papers

Observation ff1a5ebb-9bd0-472b-9d9e-7e20de41f104 · inbound

Theory of approximate quantum error correction and the error-set model cites this paper.

Theory of approximate quantum error correction and the error-set model Random approximate quantum information masking

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-01T04:05:36.298226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:05:36.298226Z digest=sha256:0fd66fbc3b5f00b62998dd33babebf4b0cc93f3fa4b2fbfee6bff9e7681f39fe