Paper Citation Record · LEDGER

Error analysis of quantum operators written as a linear combination of permutations

As of 19 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2412.12762.

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

pith.paper-citation-record.v1
2412.12762 v5

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:53:03.807875Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

32 of 32 outbound references displayed

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verified fuzzy25
unresolved7
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External citation measurements

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Outbound references

Observation 986324a4-dafe-4151-9cb7-86e262938b8e · outbound

This paper cites Perturbation theory for linear operators , volume 132.

Error analysis of quantum operators written as a linear combination of permutations Perturbation theory for linear operators , volume 132

Reference 1

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Observation ad8cc435-03f2-411b-ac08-4b0c28b00bb4 · outbound

This paper cites First-orderperturbationtheoryforeigenvaluesand eigenvectors.

Error analysis of quantum operators written as a linear combination of permutations First-orderperturbationtheoryforeigenvaluesand eigenvectors

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.480739Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 905be9ad-fbe0-4f28-bc5d-e8cbf9eafa2a · outbound

This paper cites Eigenvalue computation in the 20th century.Journal of Computa- tional and Applied Mathematics , 123(1-2):35–65, 2000.

Error analysis of quantum operators written as a linear combination of permutations Eigenvalue computation in the 20th century.Journal of Computa- tional and Applied Mathematics , 123(1-2):35–65, 2000

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.462895Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3fb1fe4-c485-4108-9367-b4d65ba3a294 · outbound

This paper cites Perturbation bounds for matrix eigen- values.

Error analysis of quantum operators written as a linear combination of permutations Perturbation bounds for matrix eigen- values

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.437205Z

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Observation 7c9dd8bf-abf5-4712-9697-fe9bc2701e35 · outbound

This paper cites JHU press, 2013.

Error analysis of quantum operators written as a linear combination of permutations JHU press, 2013

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.420062Z

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Observation 7569a659-5285-460d-b6b9-66257c402304 · outbound

This paper cites Error analysis of floating-point computation.

Error analysis of quantum operators written as a linear combination of permutations Error analysis of floating-point computation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.397766Z

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Observation fa0bccaf-335a-4e27-b439-38514a56c97b · outbound

This paper cites Floating-point perturbations of hermitian matrices.

Error analysis of quantum operators written as a linear combination of permutations Floating-point perturbations of hermitian matrices

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.377087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 763a3029-5ca2-435e-a968-75887eea8624 · outbound

This paper cites Error-resilience phase transitions in encoding-decoding quantum cir- cuits.

Error analysis of quantum operators written as a linear combination of permutations Error-resilience phase transitions in encoding-decoding quantum cir- cuits

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.359045Z

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Observation 204f6f16-416d-41a7-af57-a3b2d3abcf28 · outbound

This paper cites Error-resilient monte carlo quantum simulation of imaginary time.

Error analysis of quantum operators written as a linear combination of permutations Error-resilient monte carlo quantum simulation of imaginary time

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.335931Z

Source-reported events for the cited work

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Observation 9c7c902a-1030-43b9-9588-566d8271d000 · outbound

This paper cites Error Resilient Quantum Amplitude Estimation from Parallel Quantum Phase Estimation.

Error analysis of quantum operators written as a linear combination of permutations Error Resilient Quantum Amplitude Estimation from Parallel Quantum Phase Estimation

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T13:53:03.672616Z

Source-reported events for the cited work

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Observation 62f2bfd7-ff63-439f-9785-bce7a18b0d42 · outbound

This paper cites Quan- tum error mitigation relying on permutation filtering.

Error analysis of quantum operators written as a linear combination of permutations Quan- tum error mitigation relying on permutation filtering

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.304791Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8fb6601e-2bb9-4212-b455-bf61d3547399 · outbound

This paper cites Unified approach to data-driven quantum error mitiga- tion.

Error analysis of quantum operators written as a linear combination of permutations Unified approach to data-driven quantum error mitiga- tion

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.280486Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6bec10e5-5df9-458d-b841-1ad93f89b57f · outbound

This paper cites Quantum error mitiga- tion.

Error analysis of quantum operators written as a linear combination of permutations Quantum error mitiga- tion

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.255852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2c3d3a7b-0766-4292-b34e-b02707a9f40f · outbound

This paper cites Fundamental limits of quantum error mitiga- tion.

Error analysis of quantum operators written as a linear combination of permutations Fundamental limits of quantum error mitiga- tion

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.231936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 11dc21c1-4e81-499a-af28-40cef0738821 · outbound

This paper cites Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics.

Error analysis of quantum operators written as a linear combination of permutations Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T13:53:03.704874Z

Source-reported events for the cited work

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Observation 17d8ee73-805d-4195-b7b1-13683c509f73 · outbound

This paper cites Tres observaciones sobre el algebra lineal.

Error analysis of quantum operators written as a linear combination of permutations Tres observaciones sobre el algebra lineal

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.197126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7d756aeb-d2cd-41f4-8b58-bceeb5db053e · outbound

This paper cites A relationship between arbitrary positive matrices and doubly stochastic matrices.The Annals of Mathematical Statistics, 35(2):876–879, 1964.

Error analysis of quantum operators written as a linear combination of permutations A relationship between arbitrary positive matrices and doubly stochastic matrices.The Annals of Mathematical Statistics, 35(2):876–879, 1964

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T13:53:03.716446Z

Source-reported events for the cited work

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Observation d19d0972-7983-4eb9-8fef-1930db294a00 · outbound

This paper cites Minimum birkhoff-von neumann decomposition.

Error analysis of quantum operators written as a linear combination of permutations Minimum birkhoff-von neumann decomposition

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.172389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c3e6d6a7-a0d5-4dad-a112-029919a88ca5 · outbound

This paper cites A quantum compiler design method by using linear combinations of permutations.

Error analysis of quantum operators written as a linear combination of permutations A quantum compiler design method by using linear combinations of permutations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T13:53:03.730516Z

Source-reported events for the cited work

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Observation efde8fcb-5458-4c3f-bcac-768fc6667c05 · outbound

This paper cites Sinkhorn normal form for unitary matrices.

Error analysis of quantum operators written as a linear combination of permutations Sinkhorn normal form for unitary matrices

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.154577Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7b201947-d2f3-44b8-b935-1a7384872dca · outbound

This paper cites A generalized circuit for the hamiltonian dynamics through the truncated series.

Error analysis of quantum operators written as a linear combination of permutations A generalized circuit for the hamiltonian dynamics through the truncated series

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.128578Z

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Observation 954fac60-1fa7-4753-b5ec-0b459181fe41 · outbound

This paper cites Quantum computations: algorithms and error correction.

Error analysis of quantum operators written as a linear combination of permutations Quantum computations: algorithms and error correction

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.103695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 026be7d5-d34d-47c7-9555-50f87eae03c2 · outbound

This paper cites Quantum error correction for beginners.

Error analysis of quantum operators written as a linear combination of permutations Quantum error correction for beginners

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T13:53:03.759767Z

Source-reported events for the cited work

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Observation 289b14d7-6748-4f8a-a2d1-8ebaa2fa7299 · outbound

This paper cites Cambridge Univer- sity Press, 2010.

Error analysis of quantum operators written as a linear combination of permutations Cambridge Univer- sity Press, 2010

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.071390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d4ec64d2-9012-4cde-83b7-b189cadc1129 · outbound

This paper cites Some applications of doubly stochastic matrices.

Error analysis of quantum operators written as a linear combination of permutations Some applications of doubly stochastic matrices

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.048322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ff0a6abe-70d9-42b9-9314-5cc3b0a2011f · outbound

This paper cites Cambridge University Press, 2012.

Error analysis of quantum operators written as a linear combination of permutations Cambridge University Press, 2012

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T13:53:03.777163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fea7c158-55d4-4209-b56c-14ba17f0666f · outbound

This paper cites Prac- tical quantum error mitigation for near-future applica- tions.

Error analysis of quantum operators written as a linear combination of permutations Prac- tical quantum error mitigation for near-future applica- tions

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:04.014528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f29258d6-d2e7-421e-8db0-c139f28781a8 · outbound

This paper cites Matrix nearness problems and ap- plications.

Error analysis of quantum operators written as a linear combination of permutations Matrix nearness problems and ap- plications

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:03.992998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e19ab59c-8ec6-4e16-91d7-c9dcc52570fb · outbound

This paper cites Matrix nearness problems with bregman divergences.

Error analysis of quantum operators written as a linear combination of permutations Matrix nearness problems with bregman divergences

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:03.974322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7c737ceb-82ac-4dbc-85a1-9b2715f42e83 · outbound

This paper cites Quantumcomputerscansearcharbitrar- ily large databases by a single query.Physical Review Letters, 79(23):4709, 1997.

Error analysis of quantum operators written as a linear combination of permutations Quantumcomputerscansearcharbitrar- ily large databases by a single query.Physical Review Letters, 79(23):4709, 1997

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:03.953237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2d9af9ee-575d-48d5-af62-107b3b587991 · outbound

This paper cites Algorithms for quantum computation: discrete logarithms and factoring.

Error analysis of quantum operators written as a linear combination of permutations Algorithms for quantum computation: discrete logarithms and factoring

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:03.931935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3a036e0e-4bc3-4e4b-b59f-1b605e70b63e · outbound

This paper cites Optimal hamilto- nian simulation by quantum signal processing.Physical Review Letters, 118(1):010501, 2017.

Error analysis of quantum operators written as a linear combination of permutations Optimal hamilto- nian simulation by quantum signal processing.Physical Review Letters, 118(1):010501, 2017

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:53:03.915913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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