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Paper Citation Record · LEDGER

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity

As of 8 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

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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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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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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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source=pdf_text observed=2026-08-07T23:02:45.117305Z digest=sha256:db0a8a13a1b1839e364e45b2192c4ac6c68597837b18b42fd138a328fe25322f

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=sha256:08fd5456dbbfdd24f0c9ddcd1f5893949afb80e9c6866dd6eb78c9d69dd7cf5f

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=sha256:6a1e25315e46ea101387387bfd80e3fc217d6f536bc6ae19adbee5ab068d5783

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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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:e4de2dff2250eaa8652f75dc5a7caff2ef4f6a223e263ad3faa0a63387594c95

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:f8e9a187a60c4f5eddc7f96a882cae506374dba258d54c45f07a7911741c9e88

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:cc28b7e1d30809b6c613f760ff31927bcfc7f5d6f3ebf5361df61f69212fb7e6

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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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:b0bcd6a2de19806f7bbf7416c75ab422738140758b7c22b073fdabfaca977fba

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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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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source=pdf_text observed=2026-08-07T23:02:45.204228Z digest=sha256:75770299d714f426c1ebdcc473be29d5ac44f066d93221a2ec4b7a7428173a60

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=sha256:42d558c4b6a407171edc13322fd39f4440b0e8dc86caeef9e9e9a74102455d25

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=sha256:0f4dcccfc70c64162d6406ddffd184ad2beceab6cb127d6bf3a693569c5b4236

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:fc298664f97a83df90a3244b5b31b7f2fc694ffefddd517079573198d183ec62

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=sha256:851f84be20ff1a9d6bb0d7d0616cd16533cd30d02ba1bb046e390e9650c380bf

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=sha256:6ab2a6b9eb3e2de68413507d94d376b952bc0fd4463d805568574f962f44c6d5

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=sha256:3196d8c8f12209842787269addd63f2acc5eeba70a84382f2cb89654ce8aa00f

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:a0ace89a927d587952b401e07cebaedbb3d1a8e0a013db8b53cfa0befeb1bf85

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=sha256:676d5dfaa59b68695f07414db0da99f7711c163db808446f2e1ff954d0555c63

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=sha256:832e6ce4c32da80f0dfba0ce8f1fe4719cf2de81c5450131fba44306cbd53c16

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=sha256:47c32bee953b99c8d7d6e5adf76924e7b10273113adf3147503e392fd61242e9

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=sha256:5abc19615c92de7577e40e636ff369d4b9af16e76d4a97a0b87d6e82e255add5

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=sha256:3aea0605066d797b220739ed33d8ac3e6014d70a15bf7b0500bac1800a41df85

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=sha256:4acca585de5e2c2175089c027463c957023e9f3fb31cc19f4db538ee4b7432d7

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:f88d1833299bcd6818d9081a99f4b9a706dd517bd29fa2b5449fa4ceafff0a07

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=sha256:6e4933e7e5df6185d69b4467f043c652c4072da76f9d22f7ca27f7ab49430921

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.314665Z digest=sha256:46ff1562471f2b958b3f45820156a382869a032810040a996806c3585f0cfd91

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.321360Z digest=sha256:7647b9e85b84859367660fc879465ff99f829fe317127e3c07c9542459698d1f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.328401Z digest=sha256:2e3392a9b97171307c6a7b5feebfee1588d8b7928233dae9d8c91454eb21e62b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.336484Z digest=sha256:e0809b33b7587ad34e03eaa7c57bfb7d5a88cc5e860da5c7d720967965de5da2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.342369Z digest=sha256:4ca3e7dffba6a1c0ae4cf2fd18a21ee1c07d16805723868e7b78fb6ed4196b22

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.347308Z digest=sha256:9b209a3b165337fb71c0bef5cba0b1ac624a6f95ff0e381d0a38a21cf9af02e2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.352689Z digest=sha256:b00ac5ac455f08ece1d94d7700ca2be0ab97f6528ddaf7ee96137065ae8d2013

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:e8a3c2faa58027f4a6ff37578ef9f235b85b3896f198574e573f4c5325e3fbb6

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=sha256:39d2f69ded1f8d4e673e2a5639b74ac83aabe091902199f1a6653deca3873390

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.372617Z digest=sha256:2b296354348131ea4d4102aee1b1eae1eaa95acbeb6f3feb74c0073cdd55a5e5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.378519Z digest=sha256:37274118dee278d3b3da53eb16f609d71ca0a46cce9918102730975006f38b7f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.384931Z digest=sha256:2f09c8bb3e6c3bfac14a95767999c4ea6ac2f9c6a5d9eda56675846dbd72af67

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.393945Z digest=sha256:90ee4437978e8b29ee0b4211ebea8d2f8d557e0b1b528645b6ca59f8320a1260

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=sha256:1dee3571f04afb83370f02dce8302acc2a0aba34a5a842837a378dfba546decd

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:d76e4e30b578de617cc920eaeaeef224b22b9238745b658355a017e0aef05d0f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.417178Z digest=sha256:13eb3e19447d3d3504d4f92b0e0d7c53759bfb768bf7875c9d35e8d4dcc677a5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.422436Z digest=sha256:3669aae78a3e5b7bdb567aedcf12e8b6d7ac7ecebd99370e3aebcb0603e2e15f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.429880Z digest=sha256:4b376799966d8c15b4c9bb89a1e481ebece8ee3192f39613259125b1f079f0bb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.436645Z digest=sha256:8d3591713c67e71a28c47413df35b45c8289cac8d20c3bbfcc99f258d986a476

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.444160Z digest=sha256:edef5f92d5e3f078add3c9621aff43641e710006bea50f2a53635e924f86342c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.449536Z digest=sha256:2dc8b26e81da3345c2f6cf853f78e4d95bede2ae4ad8e12320477b77e0b66da0

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=sha256:0e50c4e8eb5468642081a9cb8c0fbc2a7e3bf34a8518d73f25414d5ec54d959d

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:e34592e92007b5f2c97df8f0b07c4ab111c9e9a7578a9ecc846fbf261f4fe16f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.471320Z digest=sha256:98fc7c796744b92bd2b7309d7b58b57fce7ad5e3627fd96eea093130e64d10fb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.478103Z digest=sha256:24eb20f73cb04d36ca9d8badf83e881bf9ca65bf251ecc620836187030031b7e

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=sha256:0c6f1e65a7bfe3694d6b9d887e66cb7fc9493679fc41cb1bd2bedfb85d162987

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:fd420cd254bd12b518f5570508966395086659745b56c4870c592ab80f2e5e4e

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:ac6765c93f32dea1886704a7d64797ec25aec0995caf72a08a9e8a2ed1c94636

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.500936Z digest=sha256:c0507754faa20948a113d6ba6ec049f13d3848e9e706fd1ce5e161401370ecc2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.505530Z digest=sha256:36b9e1feaf3b03bae629270f66e0dcd269c51d87b5db6bffe4404e6866ff0537

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.510576Z digest=sha256:5d1149194f2d84269996c553635013fea9a4cdadae9043e8da2af310d3c11cc6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.515953Z digest=sha256:9bfc931cbe1e41a9e360e6a7d44edb6e4ef20801769dce39c85509cf5d667ee0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.521595Z digest=sha256:5aa26823dcb6d615a9b6b540134e0d341e5cafea7deea1b82dcf209b00b32bab

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.527635Z digest=sha256:b9e3893a5643ab2e44f15b259d4805de1d63a4a34544d7f93824a9c7af8d15d9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.540161Z digest=sha256:7501dc1dad8ff371c49f11c55296e85d1041a22e55b45930fe4fdff2754a02fc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.550815Z digest=sha256:ed4c4b2e6fd6b37aea0adb11332a1ca2d64f4fe4e2b8916b44b03ff73a1546c9

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=sha256:5eb8dc56e4d7cbc067ce03886cbec8354230b6886fffacd4c19700661a32e914

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.565214Z digest=sha256:5f5e7861391029010f6c361c7b37d3f1b6ef507fca423c6ea6b848a635401364

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.571477Z digest=sha256:a12906d7f011237adcde83e0e9519a1d750b884defa4ec65e33ac6ba5c7df184

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.577715Z digest=sha256:1b65fae5e91553a735b7b54661822bb29b2e6936c4b48f5de3088f8db1facaa4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.586196Z digest=sha256:ca8dac83d779c5254ae6c91b81564fbccdcc35c104602916a801c60679819671

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.595708Z digest=sha256:d38ade96d2f18e5a999d03943d98648549991968d715f44208b991b7c5a24423

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:02:45.602953Z digest=sha256:8735f7ff21a87918692dddca3557b17bf010f9d9ad05feae604915cccbe42815

Pith citing papers

No inbound Pith citation observations are available.