Pith. sign in

Paper Citation Record · LEDGER

Randomized product formulas beyond optimal deterministic scaling

As of 11 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2608.07720.

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

pith.paper-citation-record.v1
2608.07720 v1

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:37:58.325168Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

58 of 58 outbound references displayed

  • verified exact3
  • verified fuzzy11
  • unresolved43
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 83ddb542-7dd3-4850-9bb2-63950b1819ed · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.094093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.094093Z digest=sha256:4d9aa4434554e7ca891a1cb48d6c67c9d1d9ec397d19a26b59b80b53748d419f

Observation 639e24b7-dfba-436d-86fc-6ed875abfcb4 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.098954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.098954Z digest=sha256:507d96f18309c226e576de9a92ef966d0609106c4662f82c0f89872873597af5

Observation 10d10dab-15af-4c9a-8fe6-09eb3f0c9e9f · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.102799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.102799Z digest=sha256:1c44109cce6cd8170c414fa55c6dd0ef9cfb613a463d7bd6c22c25b4cb5768ae

Observation acf4d276-427d-4ab7-a06d-aa85643aa321 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:59.124944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.106990Z digest=sha256:005473e8267d038ad72ca3078dbabfced62425fe91b1af318f54ddaaad39040f

Observation 413abaf2-da8d-430e-a9c5-6a453e2c69bd · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:59.113102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.111112Z digest=sha256:d294b889672789e74439045b4dc45e929679816ef1a748a0c29a097c84b55ace

Observation 58694c73-db10-4db7-8319-7139405419f0 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.115124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.115124Z digest=sha256:596bef49df411ea1defd72d0885b13e104d95a3de3ad4a2ea4126e41a7caeb4e

Observation 589f638a-5ae5-47d8-a2ac-4d795084f733 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.119368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.119368Z digest=sha256:3151c21d09b900cbf75208205d644dba2e3a7a03e7b43ab04a749593e501374d

Observation a059ee98-c774-4d1e-85b1-cdcf439ff52e · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.122902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.122902Z digest=sha256:7222539d5e8c85dae745a0729f0dba6cd30acf056e01fa0eb3b81ab3498fc0bd

Observation 7485708e-b072-4816-b118-1d2b2d926d35 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.126243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.126243Z digest=sha256:6d65dbdffb13f025baa23eec130bea129a934e6e146aa00b348977781bb5b7ef

Observation 0c10dcdf-74dc-4406-b36d-7a5a7b5eddac · outbound

This paper cites Suzuki, Fractal decomposition of exponential opera- tors with applications to many-body theories and monte carlo simulations, Physics Letters A146, 319 (1990).

Randomized product formulas beyond optimal deterministic scaling Suzuki, Fractal decomposition of exponential opera- tors with applications to many-body theories and monte carlo simulations, Physics Letters A146, 319 (1990)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:59.074907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.129734Z digest=sha256:f10ee85e040ebcbe46b505db2987b25676839b06b0ebf30749f705da9c26c2e9

Observation f35cae06-2556-4118-9c5c-578f09782ca1 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.133866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.133866Z digest=sha256:86553f181bcc40b4522fc36da893b25888eed0f14f5a97d4e49d83a48b116227

Observation e68ba28c-9526-46b0-bb36-c671d61d140b · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.138058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.138058Z digest=sha256:f94d6cee36727fbadba78cde69edaf9e298d8db8b6b2afaa80afb1b1553c242f

Observation d52080b5-9c28-4e60-ba7c-2f68eca463df · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.142110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.142110Z digest=sha256:22aaddd5da7c05311deae009c11fff9a1e1338159303b0f1e019de728568733a

Observation dd836807-5f45-4235-969e-91b11ae651ec · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.145726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.145726Z digest=sha256:f7e7bde3b381cfcd0dcb14fe6b0de1f8b98cf2e2e0b28baa01f3ee4464b4006b

Observation 89fe6523-4805-458e-ad5f-9561f265d73d · outbound

This paper cites Observation of separated dynamics of charge and spin in the Fermi-Hubbard model.

Randomized product formulas beyond optimal deterministic scaling Observation of separated dynamics of charge and spin in the Fermi-Hubbard model

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.149540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.149540Z digest=sha256:8b2e88ef763338c92230d341bc7ac719ce4a0590a76182a95a6cd1d79cfa5250

Observation 8a3dec34-73b0-423c-822a-eb339969ea42 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.154066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.154066Z digest=sha256:0d17bec2e31cfc46f814663803d47db2baceb9e81f02e671b0e6c688cf59d6a1

Observation dd1b66b5-0e0f-4040-aa31-453c8df60fd2 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:59.021167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.158148Z digest=sha256:e441811aa26d609d2c729481f6e62f9b1c19e589372f1c52a3d48fbe3c9d6838

Observation 50162783-8c97-4141-a441-36cd78221986 · outbound

This paper cites Viola and E.

Randomized product formulas beyond optimal deterministic scaling Viola and E

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:59.009702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.161901Z digest=sha256:54579d4b10993409b73c54824854fcb04204f9645a221f32a0f19436816671ac

Observation d9e8b611-36da-4d75-85af-dc6ade4adf24 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.997989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.165728Z digest=sha256:ae8c741a65e2bafcb241bc0f3eb10b8d3abd0a2780d51ad8c1c13f32236ba732

Observation 7059ea20-a584-4ebf-894f-3132d1bd32da · outbound

This paper cites Boixo, E.

Randomized product formulas beyond optimal deterministic scaling Boixo, E

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:58.984892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.169215Z digest=sha256:3a0f0c572f4d68d758d5dc72d96778c997e18fb6cddf39cfa7b1d5d1f543e37a

Observation 723931aa-efb4-4435-9a14-972b4adb3bbc · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.173466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.173466Z digest=sha256:a7de11da90cae993c183f670b4f84a25a369ee0316b5a9bc700ecb89381438d8

Observation 0d990e5d-aa34-49b2-a4ab-81b28ba8dd17 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.177337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.177337Z digest=sha256:0227a15376c1f60bf99d84766e6c5c5ed24b148840038739d6453cef3967d5e0

Observation 1a419c82-df3e-4f96-bc72-fb8f237ac9d4 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.958672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.181637Z digest=sha256:2a6c5f2ff041b17a6190a0f4492a0a324db3053dc07098292dbd1908019ae593

Observation bb792b6a-e5a5-4f08-a6b5-6f472d6e347d · outbound

This paper cites Gosset, R.

Randomized product formulas beyond optimal deterministic scaling Gosset, R

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.185831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.185831Z digest=sha256:1e2d3010ef8e703ab7f6bc8d05145d0cecbb803685051273b5b5464dd421d3f8

Observation da7e6aa5-3f60-4ed5-8c6e-8fe6b45d05a3 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.947716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.190297Z digest=sha256:757c77062566fc16297c11535a8f841977d54c3c65d3a43d2abe60476fd6f3da

Observation 2b9a48e9-4fb5-45f3-9902-da64a709b3a4 · outbound

This paper cites Randomized Quantum Optimal Control.

Randomized product formulas beyond optimal deterministic scaling Randomized Quantum Optimal Control

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-11T00:37:58.579233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.194485Z digest=sha256:8a5dc3d215e6c9d4c94ba72dfafb244cf2e9a7875d39293f8b70ac69f2c9337a

Observation ba90f11b-ae84-4cf8-ac7f-43fff6a73162 · outbound

This paper cites G¨ unther, F.

Randomized product formulas beyond optimal deterministic scaling G¨ unther, F

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:58.936570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.198975Z digest=sha256:f3ea62de210427db7f23762d9a9ebe1f0d4f2ecab803ea61b1b006f7a357b767

Observation d204c30b-bf9e-4085-906a-d0ac2444ff39 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.204017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.204017Z digest=sha256:99d467e228c8200e79104c5739d8fab7cf4028ce4f939a732ed59d71b426953f

Observation a76b01f7-a223-4ab0-bee9-b9bd816798eb · outbound

This paper cites Campbell, Random compiler for fast Hamiltonian sim- ulation, Physical Review Letters123, 070503 (2019).

Randomized product formulas beyond optimal deterministic scaling Campbell, Random compiler for fast Hamiltonian sim- ulation, Physical Review Letters123, 070503 (2019)

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:58.925680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.208432Z digest=sha256:490c3e6327e3d3c7bdde9b065c86e8d8b9a8c5e82fbc3621db07f7592a898b15

Observation 9ee5bb7b-5af3-4482-8e9a-381c6a709ef6 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.212912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.212912Z digest=sha256:841149a02b3105b20281a444b7d4014ce0b3b74f8ecd9e4dd8cd674e4a4003b2

Observation db4a0308-c87c-4d0d-a77d-a718c48fa981 · outbound

This paper cites Ouyang, D.

Randomized product formulas beyond optimal deterministic scaling Ouyang, D

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.217130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.217130Z digest=sha256:e3dcfe185ff5176a05f4c82949d72ca0988429ae2ab9cbedea49abafc548c029

Observation c50a7b2d-2c0b-455b-97bf-63e97a5a2f3e · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.221493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.221493Z digest=sha256:13fd9f86a178fc81efe5d1a2e4510b8bd6792ed4b1ff6d6c0df2f21aa0f0137c

Observation fe407acf-9081-43d3-9f24-76a72f9b2774 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.892813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.225551Z digest=sha256:77a4ee557e4e6210954d76fcf4ed7d4e344f56022fdda0226eefa7d3ca344c5a

Observation af556f46-0510-45b1-b5ee-19725bfd6fad · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.881562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.229682Z digest=sha256:19f084ab0c29f31fe7927f69eb9913c725e4c089b316e87fe2519c5ed394c80f

Observation 267a82b5-0f98-46fc-87ae-4de94c559381 · outbound

This paper cites Hamiltonian Simulation in the Interaction Picture.

Randomized product formulas beyond optimal deterministic scaling Hamiltonian Simulation in the Interaction Picture

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.233810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.233810Z digest=sha256:92d04b527cedfed2355f235e23474cc98b1c9e12e2497c11cd729a16822f4688

Observation 49c59a1c-b8ee-4bff-8fed-00e16bddf049 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.870953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.238973Z digest=sha256:1f4177020384111cc7ba92c3b76157501ea1be9d5fea997420b33875897eb286

Observation c97852ff-a779-4365-a2d0-d7e6ba2036a9 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.859721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.243492Z digest=sha256:877811e791f12e26c7c5965b56e70cb790953872b311403afb357c353d28795c

Observation 594abc50-e50e-46b3-beb4-c9d682d1a4b7 · outbound

This paper cites Hamiltonian Simulation in the Interaction Picture Using the Magnus Expansion.

Randomized product formulas beyond optimal deterministic scaling Hamiltonian Simulation in the Interaction Picture Using the Magnus Expansion

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.247303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.247303Z digest=sha256:6c05bdba4fa67dca7565346dec92697f0bf354c99aefae33f9243e8b754ac8ed

Observation 8bbb3504-17b7-452a-931a-ba72de6b22d4 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 39

Resolution
malformed identifier
no resolver link, observed 2026-08-11T00:37:58.251200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.251200Z digest=sha256:57b6119d27939594722f3656ff95c1c32f50a5d7c62f3d95c92b89bc81f77ae4

Observation f79cda87-80f7-4aab-8cbf-689ecf5369cf · outbound

This paper cites Bagherimehrab, L.

Randomized product formulas beyond optimal deterministic scaling Bagherimehrab, L

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:58.849289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.254952Z digest=sha256:5d1d2d2ef2df52515ae9e06ad87231d24d941e3fa1b7f305d1efdbbdf84a0b68

Observation a18af6eb-c652-4479-9210-4af470381d86 · outbound

This paper cites Watrous,The Theory of Quantum Information(Cam- bridge University Press, Cambridge, 2018).

Randomized product formulas beyond optimal deterministic scaling Watrous,The Theory of Quantum Information(Cam- bridge University Press, Cambridge, 2018)

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.258443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.258443Z digest=sha256:78e30d593db01a6ca71a0402b724f1d98fef2bb52eba07b05518e91864827f17

Observation 8f298854-e2a4-4934-8f82-93c8fa7429e4 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.261861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.261861Z digest=sha256:445681c5492c0ec4165fdb1f1d5a9bf8ec30601d6a7c3561e8e083822a49168c

Observation 8ab3d686-b651-4f3d-b274-e146ba626025 · outbound

This paper cites Akibue, G.

Randomized product formulas beyond optimal deterministic scaling Akibue, G

Reference 43

Resolution
verified exact
doi, observed 2026-08-11T00:37:58.361386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.265207Z digest=sha256:9dae3afd5d8ac81bf3396a9ad7b0c8ecaf7b6731e8a36681bdb23256c0a50c73

Observation 35f82285-1cae-4384-baa8-bd00304d2996 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.825622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.268736Z digest=sha256:cb81ea9d3988b5d3b3cf385f4430e84f5b5cc09633bbdc0f28b76595e10c8e49

Observation a6ce1f5b-f77c-4bef-86ee-b28727a73341 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.272538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.272538Z digest=sha256:12e6822bde2d279aeb10e702c1d6354e453ccc2bed0eeb4cac5e46c5f2325a8e

Observation 2781bc3d-88c8-487e-b8ec-4b13f738f442 · outbound

This paper cites Campbell, Shorter gate sequences for quantum com- puting by mixing unitaries, Physical Review A95, 042306 (2017).

Randomized product formulas beyond optimal deterministic scaling Campbell, Shorter gate sequences for quantum com- puting by mixing unitaries, Physical Review A95, 042306 (2017)

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:58.806633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.276384Z digest=sha256:1946f9142451e43dda002a435c3be01d171081b58bc9d9624d2d16f402e355c9

Observation d3bcb65e-f4f2-46d3-868a-aa45832b923a · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.280538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.280538Z digest=sha256:a3ca6c492b2eb68d313181c3956d9bc683473ec825ce5715180dc8d157610b95

Observation e1ff6466-45ca-4516-bc71-26906451968f · outbound

This paper cites Chen, H.-Y.

Randomized product formulas beyond optimal deterministic scaling Chen, H.-Y

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-11T00:37:58.284269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:37:58.284269Z digest=sha256:9bb904f740d48bc6512296bed7849e09fd5b21c874d04b2c9701d8bba57bd070

Observation 0cd9511e-ae6d-4752-88d1-a74c32cd6c3c · outbound

This paper cites Kim and M.

Randomized product formulas beyond optimal deterministic scaling Kim and M

Reference 49

Resolution
verified exact
raw_fallback, observed 2026-08-11T00:37:58.465883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.288142Z digest=sha256:2eeea814be1338858d50670c5a379acfeaccd0cb5e0891b6dcca6959d0fd697f

Observation 38fc3059-f490-4ea7-bbcc-5a841aee95ef · outbound

This paper cites Aharonov, A.

Randomized product formulas beyond optimal deterministic scaling Aharonov, A

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:58.778236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.291807Z digest=sha256:5425fd10b3983b62ae98f18e34fcdad0f535eee000a41fa7202b03de792db7a7

Observation e1fc1071-020a-4d7c-a541-d14bf0e5a020 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.764671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.295798Z digest=sha256:a2930e3d861d17a3d1a5905420cdf288eadce5a9c1575b414cccd673c66259c2

Observation d01d8742-97df-4044-a616-ea2c354c6c96 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.751510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.300145Z digest=sha256:01a8085bb048d7244e70097f43de15f7846132de9c23e3de3b52833d74132c56

Observation b65f85c5-9848-41d9-9e93-6afc752c8458 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.738285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.304227Z digest=sha256:8e4a550574101847e22fecbc59e8eccd0572833c699d38ddbae3177ec07478ea

Observation a6079df4-e209-40b9-838e-d082256d1dfd · outbound

This paper cites (28) 11 S3.3.

Randomized product formulas beyond optimal deterministic scaling (28) 11 S3.3

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:58.724425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.308215Z digest=sha256:465c88b47d34defa8d628317ebdd857863f3c5935353ee07f237199dd9ba4fce

Observation bbe3815e-561e-4579-92bf-bc88c16412b0 · outbound

This paper cites The sampling distribution is chosen so that the averaged second-order 9 contribution of these corrections is the negative of the leadingα 2 error in Eq.

Randomized product formulas beyond optimal deterministic scaling The sampling distribution is chosen so that the averaged second-order 9 contribution of these corrections is the negative of the leadingα 2 error in Eq

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:58.710228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.313063Z digest=sha256:fa59f80e3fdbed18dbb268d21acb53c9c2156a5b4c379666608c23e5f4bbc4e5

Observation 469c6c0e-1869-42b6-9675-4f2dcb3bc310 · outbound

This paper cites For an explicit implementation, it is convenient to sample this distribution hierarchically rather than enumerate all tuples (a, b, n, q).

Randomized product formulas beyond optimal deterministic scaling For an explicit implementation, it is convenient to sample this distribution hierarchically rather than enumerate all tuples (a, b, n, q)

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:37:58.696164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.317280Z digest=sha256:30c98415a46c44f5870cc1e2c9031290e28d17f633e4aa34a636f254598b3996

Observation 3fa63c04-1b07-4f4e-86c8-07c7e66d32c4 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.682256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.321374Z digest=sha256:d85b0dc49cf25334280d216e8129a307f60d4ce73c782a4aedffd21158abb008

Observation ae216321-c94c-410e-ac7b-4a58fbeed0b4 · outbound

This paper cites an unresolved cited work.

Randomized product formulas beyond optimal deterministic scaling Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:37:58.669176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T00:37:58.325168Z digest=sha256:d2b5498da71cb0e727d2b40038058959d89290c42f3a635cce32e0f649631ac7

Pith citing papers

No inbound Pith citation observations are available.