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Paper Citation Record · LEDGER

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity

As of 9 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 0 inbound Pith citation observations for arXiv:2502.09015.

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

pith.paper-citation-record.v1
2502.09015 v1

Coverage vector

measured 78 of 78 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:02:45.602953Z

measured 78 of 78 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

78 of 78 outbound references displayed

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  • verified fuzzy26
  • unresolved41
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

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Outbound references

Observation 8e2d1445-1176-4585-b41c-6803d154a3b2 · outbound

This paper cites Eisert, D.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Eisert, D

Reference 1

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Observation 172d325f-b4e0-438c-a213-d7a180c2c18d · outbound

This paper cites Therefore, typically (with high probability) we have C f (PU,χ U) = EU[C f (PU,χ U)]± O 1√ N ! = 1 + O 1√ N ! , (40) for any U.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Therefore, typically (with high probability) we have C f (PU,χ U) = EU[C f (PU,χ U)]± O 1√ N ! = 1 + O 1√ N ! , (40) for any U

Reference 2

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Observation 56a6db0a-94fd-4f23-8600-c5a520c6ae6b · outbound

This paper cites Kliesch and I.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Kliesch and I

Reference 3

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Observation 4ab78516-f4fa-4c40-8dbe-106a6b874212 · outbound

This paper cites Resch and U.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Resch and U

Reference 4

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source=pdf_text observed=2026-08-07T23:02:45.106192Z digest=sha256:e2bb3d15cbc2c54c0688fbc8c6e16b0e7ffa3d7695e05186491c8392c8648128

Observation 4e227722-7ddf-4450-a8ef-a0058477792c · outbound

This paper cites Wang, Y .-H.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Wang, Y .-H

Reference 5

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Observation fb6f5409-043d-48d2-9cb6-1d5d37e4a149 · outbound

This paper cites Quantum Computing in the NISQ era and beyond.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Quantum Computing in the NISQ era and beyond

Reference 6

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Observation 3d817cb0-3b95-4aa8-8050-9820ee06ae1c · outbound

This paper cites Quantum computing and the entanglement frontier.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Quantum computing and the entanglement frontier

Reference 7

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source=pdf_text observed=2026-08-07T23:02:45.124645Z digest=sha256:d7a96ba6a5011e04aa0426d482311e97dfdb2ee84a9197608af9c9f20d367b02

Observation bb1d9b9c-4c00-427f-b824-2372bae20b62 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-07T23:02:45.133080Z digest=sha256:e624d67811386b89434cf6af30f6fee03b2763e3183497dd565b3863d70a3873

Observation b3bc837a-200f-4a50-b6d1-220bdacb9ea6 · outbound

This paper cites Yung, Quantum supremacy: some fundamental concepts, Natl.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Yung, Quantum supremacy: some fundamental concepts, Natl

Reference 9

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Observation 2aa92d70-99c9-44ea-a4cc-ea9f4b43e23b · outbound

This paper cites Aaronson and A.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Aaronson and A

Reference 10

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Observation 97511415-8b92-4fa6-8ddf-0b8497b4de6e · outbound

This paper cites Boson Sampling from Gaussian States.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Boson Sampling from Gaussian States

Reference 11

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Observation e18f057c-a208-4dcd-b128-a0336976a388 · outbound

This paper cites Gaussian Boson Sampling.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Gaussian Boson Sampling

Reference 12

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Observation d74635ce-3e79-40fb-b2cd-e1022abd1fd6 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-07T23:02:45.164154Z digest=sha256:b691064da5934b43ef5b75e1cbeeb99e0c7d13ae02de74f42e26f21978f022b2

Observation af9b422a-6734-47ee-9032-34f5fad70089 · outbound

This paper cites Gao, X.-W.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Gao, X.-W

Reference 14

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source=pdf_text observed=2026-08-07T23:02:45.169567Z digest=sha256:328c6ac716f2991cacb08fef45c913a44b7524735e11a8b20a276b9d95283898

Observation f65d7c40-7dd1-4229-b4e4-4f8b6b3e5d42 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-07T23:02:45.175475Z digest=sha256:e745d548b9242dd242aadb77f92e36d58796099f743f015f8b2e19e968672cbf

Observation 0e7d41ce-1391-4748-914e-0ead4ed8acd3 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-07T23:02:45.181439Z digest=sha256:0f1d9a4849dbcdfb5a53f6fd025fcc3b68610b6adb831d99e4d20bd3d596f3d6

Observation 4d68fc56-439b-465c-928c-cc1e487e8175 · outbound

This paper cites Characterizing Quantum Supremacy in Near-Term Devices.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Characterizing Quantum Supremacy in Near-Term Devices

Reference 17

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source=pdf_text observed=2026-08-07T23:02:45.186730Z digest=sha256:e8a8e0f4a90f3c7b4f950a3792be983aa1a47a477856110992fe75f8fd112ea9

Observation 18f05236-4760-4a14-8bf5-bd020ca72d88 · outbound

This paper cites Comment on "Quantum supremacy using a programmable superconducting processor".

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Comment on "Quantum supremacy using a programmable superconducting processor"

Reference 18

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source=pdf_text observed=2026-08-07T23:02:45.191623Z digest=sha256:ad93812b2fcb4777cdb96907a90e55834ea7a1d12c052c0484f667d422f05560

Observation d01cbf45-56d4-47ce-a8c9-07a812e74904 · outbound

This paper cites Wu, W.-S.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Wu, W.-S

Reference 19

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source=pdf_text observed=2026-08-07T23:02:45.198368Z digest=sha256:f63cf46b38d72b8e763b4fd48abde0cdbdfb9df02b3bc3613d1b6a2e5b352be3

Observation ad72f30f-69ab-44d6-9cb5-9cd8f8d3feee · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 20

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Observation d2a085e5-d36f-406a-9aa0-00dd3c25f553 · outbound

This paper cites The computational power of random quantum circuits in arbitrary geometries.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity The computational power of random quantum circuits in arbitrary geometries

Reference 21

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source=pdf_text observed=2026-08-07T23:02:45.213117Z digest=sha256:fde7169bcaaf601b634b98d74bef8c813e28b677b6f07d04bc507f1d6f2f460f

Observation 67adc57a-0077-4c6c-b038-d1d466fa85a0 · outbound

This paper cites Complexity-Theoretic Foundations of Quantum Supremacy Experiments.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Complexity-Theoretic Foundations of Quantum Supremacy Experiments

Reference 22

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source=pdf_text observed=2026-08-07T23:02:45.218831Z digest=sha256:d1c1f620b89034e8119a79f2ce5b53212cbc2a86e9c78994a5ed7d02dc0cf10e

Observation a08c13ed-6153-4574-8780-a72c64ea400f · outbound

This paper cites On the Complexity of Random Quantum Computations and the Jones Polynomial.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity On the Complexity of Random Quantum Computations and the Jones Polynomial

Reference 23

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source=pdf_text observed=2026-08-07T23:02:45.225197Z digest=sha256:15d6124c50520a2771d366f9dbb49dcdc08d3e37354987df0b0322d75cbae0a9

Observation 93447a01-0103-441c-ac45-0e2505dad151 · outbound

This paper cites Anticoncentration theorems for schemes showing a quantum speedup.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Anticoncentration theorems for schemes showing a quantum speedup

Reference 24

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source=pdf_text observed=2026-08-07T23:02:45.232434Z digest=sha256:bdb773be82476a6c08608ff57456232d69c8d1e8c1afe63ded61823185062871

Observation f0fad7ed-6a0d-41b5-bd6b-08b10f9dc899 · outbound

This paper cites Approximate unitary $t$-designs by short random quantum circuits using nearest-neighbor and long-range gates.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Approximate unitary $t$-designs by short random quantum circuits using nearest-neighbor and long-range gates

Reference 25

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source=pdf_text observed=2026-08-07T23:02:45.243492Z digest=sha256:098e0c4e5c776b1c492228488f4e3b4ab3ce4aae7aa546292e70bdfc81168b96

Observation 417d8529-08c1-422d-aa25-538e9bdfadbc · outbound

This paper cites Quantum Supremacy and the Complexity of Random Circuit Sampling.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Quantum Supremacy and the Complexity of Random Circuit Sampling

Reference 26

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source=pdf_text observed=2026-08-07T23:02:45.250891Z digest=sha256:36aeb2576aadc2c39a4a586331993212dfe093d73f0afef5e908c582f515845d

Observation 62e76448-a5dd-4bd3-805c-c4fafef8e949 · outbound

This paper cites Quantum supremacy and random circuits.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Quantum supremacy and random circuits

Reference 27

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source=pdf_text observed=2026-08-07T23:02:45.257970Z digest=sha256:7616e656515378af27684296a85272a98befe302407c6f39c5ddc99a57d19d59

Observation 13554470-489e-4f01-b1b7-c80a9a847a9c · outbound

This paper cites Random quantum circuits anti-concentrate in log depth.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Random quantum circuits anti-concentrate in log depth

Reference 28

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source=pdf_text observed=2026-08-07T23:02:45.263615Z digest=sha256:7102da94d37642bb7093323c38e580445f99f59210df6eee836c3a7c2735920d

Observation d29f2ea8-b82b-43e6-8ca2-0f1086d5b191 · outbound

This paper cites Sampling of globally depolarized random quantum circuit.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Sampling of globally depolarized random quantum circuit

Reference 29

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local_arxiv, observed 2026-08-07T23:02:46.027419Z

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source=pdf_text observed=2026-08-07T23:02:45.271955Z digest=sha256:e5953ed95f63f5ab8d7654c31644ac9bebe674c0b807156cf0bf3721fb756404

Observation 6e6a98cc-dc02-4219-b5bf-18e0d1f8d670 · outbound

This paper cites Statistical Aspects of the Quantum Supremacy Demonstration.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Statistical Aspects of the Quantum Supremacy Demonstration

Reference 30

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source=pdf_text observed=2026-08-07T23:02:45.279132Z digest=sha256:772d7ae1b817fea2b69b69cf00553b4f4755d87716dd7c294dd789a66cfb686f

Observation 5052b676-7ab8-42e0-a317-c8e64be8d516 · outbound

This paper cites Jozsa, Fidelity for mixed quantum states, Journal of Modern Optics 41, 2315 (1994), https://doi.org/10.1080/09500349414552171.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Jozsa, Fidelity for mixed quantum states, Journal of Modern Optics 41, 2315 (1994), https://doi.org/10.1080/09500349414552171

Reference 31

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source=pdf_text observed=2026-08-07T23:02:45.285338Z digest=sha256:c3278e712d1905cfc96eed8f83081802bdea89cfcc9b363952ca33ea6fd06c81

Observation bc95cdb0-3f86-444c-bd94-ea3010d74048 · outbound

This paper cites Randomized Benchmarking of Quantum Gates.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Randomized Benchmarking of Quantum Gates

Reference 32

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source=pdf_text observed=2026-08-07T23:02:45.291281Z digest=sha256:6cda172daec74ebdf2cd7ba0aa4f20528db6d4afd3fd50465a56b96d22a813ec

Observation f629b3bc-4997-4e9a-9bff-97db793dceb0 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 33

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source=pdf_text observed=2026-08-07T23:02:45.296559Z digest=sha256:0ec7261154a4715518a2a064f6e2dfe6942258280907472b0662a70b8aae9eeb

Observation aad869cf-ab2f-4073-b109-a2d97f996228 · outbound

This paper cites Magesan, J.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Magesan, J

Reference 34

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source=pdf_text observed=2026-08-07T23:02:45.301507Z digest=sha256:8de9d88d8f5af8341c3c802195601e7206afb7cdea8cf0b69f241abb22b9cbf6

Observation 33637b13-5a41-4a92-afd3-f7735c208eba · outbound

This paper cites Helsen, I.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Helsen, I

Reference 35

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source=pdf_text observed=2026-08-07T23:02:45.309328Z digest=sha256:9fa94bd49fc71a75a33b660fb3bfb565c9abc6887e9107e44f639c0b4ef243cb

Observation 3cbff440-a2e4-4c97-8339-eec4ad484819 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.314665Z digest=sha256:5d28b871164245f27c50a168a81a01ccc660ab6a7f423ba9cd75f32583c208dd

Observation 3ef8bed6-0057-434a-bada-5b53c7868b51 · outbound

This paper cites Torlai, C.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Torlai, C

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:47.387476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.321360Z digest=sha256:03b66f60127e294fbab4e4e84303f50f13c3a6359dc21c58cda17c54d515b8f8

Observation 880965fc-4c39-421a-9957-204c5a9ba243 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:47.358542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.328401Z digest=sha256:7ffe6ca4582bc255d384b5466c4f4a4c525f61ab1798f87abaa95c77a2f025a9

Observation 559c1cb2-88eb-4bed-bb96-223f570a84b3 · outbound

This paper cites Mohseni, A.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Mohseni, A

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:47.330780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.336484Z digest=sha256:23f0065a901babbf8a27dea6b17b96f6016522f1eb2865849c992077f4b5269a

Observation bc80c510-ce27-41d3-80be-2eb15cf98493 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:47.308887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.342369Z digest=sha256:3dca36b3755da0872eafd2e940f9c033788442738396903509f6bb62deee6dd2

Observation c5086341-3273-4757-82cb-b71859c7c7ad · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:47.279950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.347308Z digest=sha256:c357327dceadd7093c9e7eb5b24ff1bfe7299a411c1eb09068bcbae24f187168

Observation 2cad7ae4-9c2c-449d-b779-48333d894547 · outbound

This paper cites Gluza, M.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Gluza, M

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:47.258972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.352689Z digest=sha256:f931b1dc4bc03ad351a5cb216409a3af8db5c59c8ffc959f32cc53e9d8a07c5e

Observation 388944a0-c064-4a9a-9869-89856c1ecf00 · outbound

This paper cites Reliable quantum certification for photonic quantum technologies.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Reliable quantum certification for photonic quantum technologies

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.360062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.360062Z digest=sha256:b3af3061dd9cc02c641e1f55b8122cf21b60d5db2eeb6455f2ecf36f5ab128bc

Observation 0b8a66c6-30e4-4cb5-b092-86799fa31e12 · outbound

This paper cites Jurcevic, B.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Jurcevic, B

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.365608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.365608Z digest=sha256:0c2183818ece444bfe5f77b1cb13611b8eab7fee8efef66ba0ccd83fdef40a5c

Observation b2a4dccc-693d-47d1-8cc1-656ea99676a6 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:47.224355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.372617Z digest=sha256:e489ff436d938518ffd6f98bb363a67b71cd5c0318900081016434e1db6579b0

Observation 139b7b6e-c5f8-41e8-a012-1cad56eee36f · outbound

This paper cites Courme, P.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Courme, P

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:47.196330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.378519Z digest=sha256:38fe1bd71cee07618ef6a56d7440e27b86b96d5aeca9febc8127c6e5c33fcea7

Observation e245722e-4551-4305-997e-6d623b342951 · outbound

This paper cites Trotzky, Y .-A.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Trotzky, Y .-A

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:47.175072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.384931Z digest=sha256:3d41b0993d695660059deae953870b04f7dcb0abb9c2258db112e54f352e6a8b

Observation 9d3585ee-7102-4fbc-9fda-ab68c2737870 · outbound

This paper cites Trotzky, L.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Trotzky, L

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:47.155622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.393945Z digest=sha256:39c3628f320a7c121d631018cd39811c031b9077b766b7ff79fd9d081147f3b5

Observation 05bffab5-ecc1-4938-a3d6-0377610f9dfb · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.402191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.402191Z digest=sha256:7af433c996fbd3f6001f0222bb2aa24705b747b21cd0a74ed88c58339daff108

Observation f00d1718-974b-4d1a-84cd-47ff5c7b442f · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.407748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.407748Z digest=sha256:591c37e8d864bdde8c4b0ff15d93b4afca259669158242599deb72e0b0185728

Observation c8cb8075-db9e-4401-af91-53d14509ed99 · outbound

This paper cites Suzuki and A.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Suzuki and A

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:47.093869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.417178Z digest=sha256:a98f6cb750245f5d0d5ff0e201d05912e14a1940d523cec4eebf05442c31ff14

Observation 5f8ab3ba-537f-4a64-9d7a-f2322a2670da · outbound

This paper cites Peters, The ergodicity problem in economics, Nature Physics 15, 1216 (2019).

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Peters, The ergodicity problem in economics, Nature Physics 15, 1216 (2019)

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:47.067534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.422436Z digest=sha256:fcbdd08e75bc9dd2a6bb75def68fb8737e3f92ab7d6dfa0184dc8b6ea6a8c7b9

Observation 58550c57-7a67-4444-96b5-6d8ecbb16324 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:47.049417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.429880Z digest=sha256:04e0946ce8adb3f8b8dc7c22b22202aa147e91b3ff794e768a5d77b9f13ca963

Observation 36faf7ad-a830-4999-8a4e-38af30224c91 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:47.027437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.436645Z digest=sha256:2a588dc9e022bed720de7fda284c79e0496711de23705ef1e1960abc5ea9b1cb

Observation 6e17199e-4208-4d21-8fad-7eade87e2a78 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:47.008640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.444160Z digest=sha256:a391487b25b9b6217364140dd35baab92909e28f9d1789fa5614a905df79fa53

Observation 929babd9-4fb7-4ea3-a73a-3b614d7e128d · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:46.961893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.449536Z digest=sha256:11193e0e641f299ffa79d173a10a2ceb65cb8654715111684da6ef58676627c3

Observation 3d4ef64b-f913-4ebd-8157-352a06f532a7 · outbound

This paper cites Benchmarking near-term quantum computers via random circuit sampling.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Benchmarking near-term quantum computers via random circuit sampling

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.456516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.456516Z digest=sha256:9a30d0daf166a610c3883f89f75496da7b876633bb5b10521a17c611068fe4d0

Observation e72b3299-8760-4e4f-949f-4ff006cc7cb2 · outbound

This paper cites Random quantum circuits transform local noise into global white noise.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Random quantum circuits transform local noise into global white noise

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.464957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.464957Z digest=sha256:4ecc0d40e974b72481da3ffa06c6155b06e95ead7c146b2a37718c5daae3fcf1

Observation a3eaead0-f987-4890-aa6f-4040fc112017 · outbound

This paper cites Tight bounds on the convergence of noisy random circuits to the uniform distribution.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Tight bounds on the convergence of noisy random circuits to the uniform distribution

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-07T23:02:45.814697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.471320Z digest=sha256:dabb82cdb6de8b69ad04d19f653f75696348ba63ec492ee23db8e31118c0f73d

Observation 8bf63ddb-e873-4bbe-bb9e-a54ec8e1680c · outbound

This paper cites Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-07T23:02:45.779953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.478103Z digest=sha256:7d999d0d65b82a555d6c85a49f2d15debbce92dadcd927a612970e74a52bc1cb

Observation 04daa6a8-bda5-467a-ae01-1ee896660b5d · outbound

This paper cites Dankert, R.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Dankert, R

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.484221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.484221Z digest=sha256:d8227ae51398a049ef30a5cce3571b8eb0fbc42fae2d860fe5bc94f7d9cea827

Observation a5c22d48-191e-43dd-bdeb-319b42775e89 · outbound

This paper cites Evenly distributed unitaries: on the structure of unitary designs.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Evenly distributed unitaries: on the structure of unitary designs

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.491704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.491704Z digest=sha256:4cd430a98ea980db2029f35d1a07d96f635a1b493b76d4fa68c53ef4ef700c66

Observation 1c904677-784e-420e-a32e-388031bfe981 · outbound

This paper cites On the Classical Hardness of Spoofing Linear Cross-Entropy Benchmarking.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity On the Classical Hardness of Spoofing Linear Cross-Entropy Benchmarking

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.496334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.496334Z digest=sha256:13e3c1d1764d721a6345ee52f53b5b1b40ccb7642b3bc757bb19632f1c746151

Observation b62699b1-1d1b-4623-831a-71fe74ce3878 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:46.925816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.500936Z digest=sha256:56d838769b232a492e185f4318cf2f71174396f34cb2ea797a702889efd555c8

Observation b259fcb0-a152-4243-a5f0-d5a078d057d4 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:46.905167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.505530Z digest=sha256:5e8d8fb2f187d514a36f8364ecae16f5315d279e33555d0bef3059c1cfb16f4a

Observation 0c47e606-ff70-41c8-9d90-812f4218dbd6 · outbound

This paper cites Ledoux, The concentration of measure phenomenon, nachdr.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Ledoux, The concentration of measure phenomenon, nachdr

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:46.887092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.510576Z digest=sha256:0609b9936ec0974008ac5f1ef15d5860cde859ad10432abf0eceffc8337c0d95

Observation 96c04fbb-5cf4-416b-8166-7414a731537d · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:46.867044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.515953Z digest=sha256:970a90d6eb20c03f532b4eb16c9cf9ea143f054f10d52182e4ee56a3c983f0f7

Observation 875827db-1d60-4f02-b543-1df7a00852c1 · outbound

This paper cites Ledoux, The concentration of measure phenomenon , 89 (American Mathematical Soc., 2001).

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Ledoux, The concentration of measure phenomenon , 89 (American Mathematical Soc., 2001)

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:46.848308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.521595Z digest=sha256:f96b66329b77be8b6b8e954d969f40230ca2fce52da061ba451da5855f133548

Observation e8595576-07a9-402c-9e47-e712eabbe7e8 · outbound

This paper cites Collins and P.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Collins and P

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:46.829586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.527635Z digest=sha256:ae4ff3927c09d57a03bdc9cde975046d37cbce24ed0c3e82c679986dfebfe979

Observation 3565f06c-62c1-4669-945d-9e41284322dd · outbound

This paper cites Ozols, How to generate a random unitary matrix, unpub- lished essay on http://home.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Ozols, How to generate a random unitary matrix, unpub- lished essay on http://home

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:46.810952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.540161Z digest=sha256:3fbcbe0dab04783e4b484eadedbc035bbd649498baf3d11dcd0cf999a89724f4

Observation aec24623-ca5e-4b49-9ee3-ce656ffecb36 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:46.790649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.550815Z digest=sha256:53a5a10d7a0dbefbf2c41dd0c348883d1cacba8668acda04d2f49d5b086ca7bf

Observation 88f2aedb-78b0-43cd-94fe-631ce13376d9 · outbound

This paper cites Symbolic integration with respect to the Haar measure on the unitary group.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Symbolic integration with respect to the Haar measure on the unitary group

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.559547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.559547Z digest=sha256:c23be0917f9196991736fcf6b8bf75c899be832e9dbdbe37e4962af9e6ff4a94

Observation 092109e8-8f78-4271-accd-103bf358d6cf · outbound

This paper cites Hayden, D.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Hayden, D

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:46.770465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.565214Z digest=sha256:096bb49c37e6e5bc811d99f86ea3fe69b10d9c00e53e5f779fe9d9ec3d3554b9

Observation 8eda9840-4916-4a5a-a37b-82f331e20f77 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:46.729597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.571477Z digest=sha256:8dd70c4a05b81686614ddb8cf6068b7b307920f50060b2371f27be6674b795bf

Observation 61531ccc-0a53-4eb6-8c2f-a972b8f6ffe5 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:46.664265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.577715Z digest=sha256:aed7d1350b53826ce1edc943a38e80e5eef5c3a1062d13785cd25a7a38068fb3

Observation 1f3c5986-45bc-46b2-a811-d4635d7e753b · outbound

This paper cites To begin with, it is well established that a Haar random unitary can be decomposed into the components U = CR [69].

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity To begin with, it is well established that a Haar random unitary can be decomposed into the components U = CR [69]

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:46.626188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.586196Z digest=sha256:0e2f9660fee247746255415269d1fd27064f34fa157a1b5fba183c1c5dbe8542

Observation f3db4416-6fc1-4ce5-8a95-bd982d1af78c · outbound

This paper cites First, suppose we have k independent standard normal random variablesc1,··· , ck, i.e., ci∼ N(0, 1).

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity First, suppose we have k independent standard normal random variablesc1,··· , ck, i.e., ci∼ N(0, 1)

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:02:46.605042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.595708Z digest=sha256:3d3ad19a9a7130c28f744613b4fcf5357f732af9ca1eb2c9a710172c638b33f4

Observation fe0123b4-db28-43c6-81d3-fbd9e4f1ce35 · outbound

This paper cites an unresolved cited work.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Unresolved cited work

Reference 78

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:02:46.584874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T23:02:45.602953Z digest=sha256:8382725cfad47a75c23bdbe4c553c2863a6302f64c2d5c020cd9f6b963cdf0d9

Pith citing papers

No inbound Pith citation observations are available.