Pith. sign in

Paper Citation Record · LEDGER

Average Contraction Coefficients of Quantum Channels

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2508.08214.

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

pith.paper-citation-record.v1
2508.08214 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:56:09.497737Z

measured 24 of 24 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.

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

24 of 24 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5ac3f518-7f6f-4f82-b499-64ccf0684d37 · outbound

This paper cites Limitations of Noisy Reversible Computation.

Average Contraction Coefficients of Quantum Channels Limitations of Noisy Reversible Computation

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:07.056523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:07.056523Z digest=sha256:952a0a7246a36abdca930af3e57bdbf2d246500eb818eb1ca2297422cebf99e9

Observation 6e31129b-7886-48a2-b885-3158d0669d8e · outbound

This paper cites The algorithmic foundations of differential privacy.

Average Contraction Coefficients of Quantum Channels The algorithmic foundations of differential privacy

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:07.655271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:07.655271Z digest=sha256:95758a49fe62bc412b03560ad81f087bde742504ae4c14d69e50288a4a003e12

Observation ca70fee5-a5bd-4ce5-bebd-28539d0d473d · outbound

This paper cites Exponentially tighter bounds on limitations of quantum error mitigation.Nature Physics, 20(10):1648–1658, 2024.doi:10.1038/s41567-024-02536-7.

Average Contraction Coefficients of Quantum Channels Exponentially tighter bounds on limitations of quantum error mitigation.Nature Physics, 20(10):1648–1658, 2024.doi:10.1038/s41567-024-02536-7

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:08.539868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:08.539868Z digest=sha256:ca48763b1e2ecd396920d764799108d0944d73d38d47334bd4504b41f04815fc

Observation 6f837817-818b-4049-bd2d-04982fe1aed8 · outbound

This paper cites [SW10] Claude Sammut and Geoffrey I.

Average Contraction Coefficients of Quantum Channels [SW10] Claude Sammut and Geoffrey I

Reference 18

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T21:56:10.860343Z

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=2026-08-05T21:56:08.895511Z digest=sha256:17695e83509b8afbc1bc89658b5d519fe97497451a07cf0976b71a600eddf35f

Observation 78d9056f-f69a-467b-86d3-552850c72ee0 · outbound

This paper cites [Tin10b] Kai Ming Ting.

Average Contraction Coefficients of Quantum Channels [Tin10b] Kai Ming Ting

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:09.011388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:09.011388Z digest=sha256:d13fa8a6b5661f26643bcad585359468d68de5ca8baf298620fa56a06345a762

Observation 3901588f-699b-4119-861e-23de086f60b6 · outbound

This paper cites Watkins, Samuel Yen-Chi Chen, and Shinjae Yoo.

Average Contraction Coefficients of Quantum Channels Watkins, Samuel Yen-Chi Chen, and Shinjae Yoo

Reference 20

Resolution
malformed identifier
raw_fallback, observed 2026-08-05T21:56:12.338606Z

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=2026-08-05T21:56:09.098254Z digest=sha256:415840ab4230415a6cf33698f1450ec29135845e7c337957c5beb9601484bfac

Observation ea81a927-1948-468f-ae5f-ac612ec78da9 · outbound

This paper cites Volume of the set of separable states.Phys.

Average Contraction Coefficients of Quantum Channels Volume of the set of separable states.Phys

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:09.281697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:09.281697Z digest=sha256:a01d739c098c386bd8a302543a44a04021c1efa1ab7b19fc51ee372d7c33f07e

Observation 9375f1b1-26cc-4142-850c-947b073f4419 · outbound

This paper cites [ZY17] Li Zhou and Mingsheng Ying.

Average Contraction Coefficients of Quantum Channels [ZY17] Li Zhou and Mingsheng Ying

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:09.415367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:09.415367Z digest=sha256:28af125ee95968473226c5e9535143a9c420f92c8070456e9ac5565954dbd9b3

Observation 916f8139-24fa-4568-b494-1e813632027c · outbound

This paper cites ∥T(ρ)−T(σ)∥ 2 2 ∥ρ−σ∥ 2 2 # =E X∼ν.

Average Contraction Coefficients of Quantum Channels ∥T(ρ)−T(σ)∥ 2 2 ∥ρ−σ∥ 2 2 # =E X∼ν

Reference 24

Resolution
verified exact
doi, observed 2026-08-05T21:56:09.707225Z

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=2026-08-05T21:56:09.497737Z digest=sha256:6b95a3e3dffcea4ea42d12c87a67aeff17bc813b0cd9345a134d2d45ed75f1f5

Observation b1299521-eaed-4524-a25b-007f5b395dde · outbound

This paper cites [HMPB11] Fumio Hiai, Mil´ an Mosonyi, D´ enes Petz, and C´ edric B´ eny.

Average Contraction Coefficients of Quantum Channels [HMPB11] Fumio Hiai, Mil´ an Mosonyi, D´ enes Petz, and C´ edric B´ eny

Reference 1934

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T21:56:11.484405Z

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=2026-08-05T21:56:07.966949Z digest=sha256:c240518093f2f45b52d32192a8fba6b1b6f283c96f805f793634f44561719169

Observation 772e7d71-2e9b-4b08-9d6e-02df23a0a3cb · outbound

This paper cites Exact and approxi- mate unitary 2-designs and their application to fidelity estimation.Phys.

Average Contraction Coefficients of Quantum Channels Exact and approxi- mate unitary 2-designs and their application to fidelity estimation.Phys

Reference 1963

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:07.490155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:07.490155Z digest=sha256:966ac6b64a48acd52ab9bcab271d9611513bafa235e668f142cc2591c657b767

Observation 2ef6da03-ad44-4d8b-8468-5dafe5c9e341 · outbound

This paper cites American Mathemat- ical Society, August 2017.doi:10.1090/surv/223.

Average Contraction Coefficients of Quantum Channels American Mathemat- ical Society, August 2017.doi:10.1090/surv/223

Reference 1966

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:07.167397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:07.167397Z digest=sha256:ab7938b3f34448d920cd8819da92a8654ba88d38c85632fa4cf5eff2a436ba6e

Observation d345fa8f-0600-43a5-9d99-797eb111602c · outbound

This paper cites [LR99] Andrew Lesniewski and Mary Beth Ruskai.

Average Contraction Coefficients of Quantum Channels [LR99] Andrew Lesniewski and Mary Beth Ruskai

Reference 1973

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:08.121589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:08.121589Z digest=sha256:e9a764e47a33f6b6f8592f07e2742142b77138388db46e3691807f41fa046fe2

Observation 926307f5-b6b4-4991-8d46-774c951a99c7 · outbound

This paper cites Quasi-entropies for finite quantum systems.Reports on Mathematical Physics, 23(1):57–65, 1986.doi:10.1016/0034-4877(86)90067-4.

Average Contraction Coefficients of Quantum Channels Quasi-entropies for finite quantum systems.Reports on Mathematical Physics, 23(1):57–65, 1986.doi:10.1016/0034-4877(86)90067-4

Reference 1985

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:08.435740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:08.435740Z digest=sha256:445bd513c5c7c5649584b669a9cb0c2a3464890aa862cb6e41482207fee36f90

Observation 1871de14-abec-40fc-9dd6-9fcf57eafc74 · outbound

This paper cites an unresolved cited work.

Average Contraction Coefficients of Quantum Channels Unresolved cited work

Reference 1996

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:07.403820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:07.403820Z digest=sha256:0e4fef0d0e485fb0a6cb879d096ee9554d551e2bed0e579a08a505a36ed990c0

Observation c8426724-5794-4954-8b7f-72458c60a2f9 · outbound

This paper cites Strong Converse for Identification via Quantum Channels.

Average Contraction Coefficients of Quantum Channels Strong Converse for Identification via Quantum Channels

Reference 2001

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:07.321419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:07.321419Z digest=sha256:2cb0d24fc60574a476937a281f677d59e57012bc6a42528a6c50b39bb2c53c42

Observation 8ca72742-ffc9-4892-b34b-5d37f46a71fa · outbound

This paper cites an unresolved cited work.

Average Contraction Coefficients of Quantum Channels Unresolved cited work

Reference 2010

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T21:56:11.195285Z

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=2026-08-05T21:56:08.353474Z digest=sha256:37acc6da7cdc84727b99ca53da974128a7939db2b611ec8813e39b5bf3dbc49e

Observation 786a5392-e503-4547-8be7-e014008071e8 · outbound

This paper cites [SP18] Maria Schuld and Francesco Petruccione.Supervised learning with quantum computers.

Average Contraction Coefficients of Quantum Channels [SP18] Maria Schuld and Francesco Petruccione.Supervised learning with quantum computers

Reference 2012

Resolution
verified exact
doi, observed 2026-08-05T21:56:10.111919Z

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=2026-08-05T21:56:08.778109Z digest=sha256:c22517976b45b397acde777c2b2f2ed561ff62f9ffb636dc15f703869a0461c2

Observation ec2e4758-92e6-4a84-a386-dbca0ead13f0 · outbound

This paper cites Springer Berlin Heidelberg, 2008.doi:10.1007/978-3-540-70575-8_69.

Average Contraction Coefficients of Quantum Channels Springer Berlin Heidelberg, 2008.doi:10.1007/978-3-540-70575-8_69

Reference 2014

Resolution
verified exact
doi, observed 2026-08-05T21:56:10.387347Z

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=2026-08-05T21:56:08.043294Z digest=sha256:4eaf16f3b3044135ab73eb09b6a25abcd3aa10fa5ffedfc6ff3bc1ce61f13e62

Observation d3540e91-f868-47e7-9a88-c6bde6b34bca · outbound

This paper cites Optimized quantum f-divergences and data processing.Journal of Physics A: Mathematical and Theoretical, 51(37):374002, aug 2018.doi:10.1088/1751-8121/aad5a1.

Average Contraction Coefficients of Quantum Channels Optimized quantum f-divergences and data processing.Journal of Physics A: Mathematical and Theoretical, 51(37):374002, aug 2018.doi:10.1088/1751-8121/aad5a1

Reference 2017

Resolution
verified exact
doi, observed 2026-08-05T21:56:09.904458Z

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=2026-08-05T21:56:09.202127Z digest=sha256:2393f07a412ba962225ee608710d16eee8df6df5cf7e0920c0c8f6e0a5903091

Observation 1d33a330-9f4e-48e3-a846-6f74894ad17a · outbound

This paper cites [Mel24] Antonio Anna Mele.

Average Contraction Coefficients of Quantum Channels [Mel24] Antonio Anna Mele

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:08.239804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:08.239804Z digest=sha256:071d5fe81c79a4bc18e8f730c8703e25ebb08bd7d7095a8515a33cce341404f8

Observation 3168f036-a260-46d6-ae60-563d7f92ef0a · outbound

This paper cites [DHL+22] Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, Shan You, and Dacheng Tao.

Average Contraction Coefficients of Quantum Channels [DHL+22] Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, Shan You, and Dacheng Tao

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:07.570608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:07.570608Z digest=sha256:1fff5b5988ea27c8bcbb73c12cf60b57fd5fc7da3bfbbb7a5e237ff6efc1591e

Observation 03dbd88b-91dc-472e-8610-96c8299b0efa · outbound

This paper cites [Gil10] Gustavo L.

Average Contraction Coefficients of Quantum Channels [Gil10] Gustavo L

Reference 2022

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T21:56:11.799451Z

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=2026-08-05T21:56:07.811264Z digest=sha256:5201a3424154ffc46a822186ca907251fc5154fd24070dad605c0db7a541ce32

Observation 4afc8c95-a52a-45f5-98d4-6da1eb720931 · outbound

This paper cites [RS09] Aidan Roy and A.

Average Contraction Coefficients of Quantum Channels [RS09] Aidan Roy and A

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:08.659236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:08.659236Z digest=sha256:79f7995e777697285a329bd86c05b6e76996ecbe4c640e91e2fc383901e4ae0e

Pith citing papers

No inbound Pith citation observations are available.