Paper Citation Record · LEDGER

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras

As of 13 July 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2604.19853.

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

pith.paper-citation-record.v1
2604.19853 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T02:04:46.130080Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-13T06:30:06.624239+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T02:22:53.196107Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T02:26:42.811551Z

Reference resolution

41 of 41 outbound references displayed

verified exact30
verified fuzzy7
unresolved0
parse uncertain0
malformed identifier1
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9301051a-5c05-4723-89b0-45412ac815cf · outbound

This paper cites The Chernoﬀ lower b ound for symmetric quantum hypothesis testing.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras The Chernoﬀ lower b ound for symmetric quantum hypothesis testing

Reference 1

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.189549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation ad3ca3b7-e42d-4938-b26b-e5b53e00023a · outbound

This paper cites Nussbaum and A.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Nussbaum and A

Reference 2

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.191072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 9d8518be-7ad3-4fc5-8827-1a478005ddf1 · outbound

This paper cites an unresolved cited work.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Unresolved cited work

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T00:55:16.119968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation bb804a0a-2f76-4714-a8f9-7a8a26f88d1c · outbound

This paper cites an unresolved cited work.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.187813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 9026f15c-47e1-4f93-a78b-fdf19777daba · outbound

This paper cites Li,Discriminating quantum states: The multiple Chernoff distance, Ann.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Li,Discriminating quantum states: The multiple Chernoff distance, Ann

Reference 5

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.186061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 8955fdf5-5f7d-4017-87df-5bd273018f54 · outbound

This paper cites Mosonyi,Hypothesis testing for Gaussian states on bosonic lattices, J.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Mosonyi,Hypothesis testing for Gaussian states on bosonic lattices, J

Reference 6

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.137005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 1bdcaefb-694e-4254-9444-1b796307e3b7 · outbound

This paper cites an unresolved cited work.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.156282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 8ac983d9-396d-4e01-9ac8-df5dbd785cf3 · outbound

This paper cites Quantumf-divergences and error correction.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Quantumf-divergences and error correction

Reference 8

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.149962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 20f05cb9-737b-4404-9028-55bf098f77b0 · outbound

This paper cites Second-order asymptotics for quantum hypothesi s testing.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Second-order asymptotics for quantum hypothesi s testing

Reference 9

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.127427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 501f1f96-da30-46d7-88e2-b494f2a9645d · outbound

This paper cites Tomamichel and M.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Tomamichel and M

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:06:37.146591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation daff8f2b-64b8-423a-bfa3-66df6fb4b65f · outbound

This paper cites Datta, M.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Datta, M

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:06:37.161668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 1f9e2913-f8fa-4693-9e99-6b4927fe9401 · outbound

This paper cites Lower bounds on the probability of error for classical and classical-quantum channels.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Lower bounds on the probability of error for classical and classical-quantum channels

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:06:37.152367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 78bf005a-3272-46e0-bc0b-8246443e99c0 · outbound

This paper cites Hayashi, K.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Hayashi, K

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T00:55:16.143638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation fe154d78-c1f9-4012-a873-0ae4084c7d65 · outbound

This paper cites an unresolved cited work.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Unresolved cited work

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:06:37.154728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation bb47c82a-3908-4ad4-b677-9ef100d4548c · outbound

This paper cites Dupuis and O.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Dupuis and O

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:06:37.144206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 2212e6ef-d153-4768-85ed-8d89cd67f8f6 · outbound

This paper cites Androulakis and T.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Androulakis and T

Reference 16

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.148322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation c80c647e-e66d-4744-ab4e-776ceecb021c · outbound

This paper cites Anderson, D.A.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Anderson, D.A

Reference 17

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T02:06:37.159216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 21d10fd7-a028-4db8-bea1-7af03de5f07d · outbound

This paper cites Umegaki,Conditional expectation in an operator algebra.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Umegaki,Conditional expectation in an operator algebra

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:06:37.139437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 3f001811-8c6d-4919-8d24-05d242fb3d64 · outbound

This paper cites Rényi,On measures of entropy and information, in Proc.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Rényi,On measures of entropy and information, in Proc

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T00:55:16.131536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 2d0912ac-8e03-40d8-b9c6-5d88255626d4 · outbound

This paper cites Petz,Quasi-entropies for finite quantum systems, Rep.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Petz,Quasi-entropies for finite quantum systems, Rep

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T00:55:16.135536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 268b76ad-4dde-4958-9fef-26f66574af59 · outbound

This paper cites Quasi-Entropies for Finite Quantum Systems.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Quasi-Entropies for Finite Quantum Systems

Reference 21

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.135356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation a6c4246a-32f8-4122-a739-2a4bb2622c4d · outbound

This paper cites Liese and I.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Liese and I

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:06:37.129712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 80f40778-55c2-4ec0-9c64-82ab37d4fb66 · outbound

This paper cites Csiszár and P.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Csiszár and P

Reference 23

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.133716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 49bb5ebd-8091-4212-86b4-21b3dc124e04 · outbound

This paper cites Quasi-Entropies for States of a von Neumann Algebra.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Quasi-Entropies for States of a von Neumann Algebra

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:06:37.141824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 92176f52-863f-4e95-8ae0-a20df92becb0 · outbound

This paper cites Relative Entropy of States of Von Neumann Algebras.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Relative Entropy of States of Von Neumann Algebras

Reference 25

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T02:06:37.132132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation bf9c5ec4-8f62-4505-9375-f172718a5793 · outbound

This paper cites Relative Entropy of States of Von Neumann Algebras.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Relative Entropy of States of Von Neumann Algebras

Reference 26

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T02:06:37.166103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation d5a54236-71c0-468e-abf2-e0aeb6c7bc95 · outbound

This paper cites Łuczak, H.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Łuczak, H

Reference 27

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.169446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 03d2296a-ff4b-4119-81e8-249d899a104d · outbound

This paper cites Hiai,Lectures on Selected Topics in von Neumann Algebras, EMS Press (2021), 10.4171/elm/32.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Hiai,Lectures on Selected Topics in von Neumann Algebras, EMS Press (2021), 10.4171/elm/32

Reference 28

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.167834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 94c38166-fb26-4f9c-b31c-3c0ef5fabd47 · outbound

This paper cites an unresolved cited work.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.184230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 991f1af8-a3e3-4032-8f5b-a86ef84c1afc · outbound

This paper cites In: Meersman, R., Panetto, H., Dillon, T., Mis- sikoff, M., Liu, L., Pastor, O., Cuzzocrea, A., Sellis, T.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras In: Meersman, R., Panetto, H., Dillon, T., Mis- sikoff, M., Liu, L., Pastor, O., Cuzzocrea, A., Sellis, T

Reference 30

Resolution: malformed identifier; doi, observed 2026-05-10T02:06:37.180779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 01b98f4a-84f8-414a-8d47-57e79f7917a8 · outbound

This paper cites Terp,L p spaces associated with von Neumann algebras, Notes, University of Copenhagen.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Terp,L p spaces associated with von Neumann algebras, Notes, University of Copenhagen

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T00:55:16.126861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 1ca883db-7379-48a7-8ad2-bdf263d61dd9 · outbound

This paper cites Haagerup,The standard form of von Neumann algebras, Math.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Haagerup,The standard form of von Neumann algebras, Math

Reference 32

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.171100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 00ccae11-e1be-4880-b59c-caf02dda194f · outbound

This paper cites Unbounded self-adjoint operators on.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Unbounded self-adjoint operators on

Reference 33

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.163547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 61f7e062-8fc5-41d4-a38b-9240a0547d43 · outbound

This paper cites Hiai,Quantumf-divergences in von Neumann algebras.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Hiai,Quantumf-divergences in von Neumann algebras

Reference 34

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.182499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 6a4d85a4-7950-4811-855f-da80fad5482a · outbound

This paper cites Gui,Spectral theory for strongly commuting normal closed operators, Monograph.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Gui,Spectral theory for strongly commuting normal closed operators, Monograph

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T00:55:16.122419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 5743f687-945f-45a4-92e7-5661f3c983dd · outbound

This paper cites Csiszár,Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Er- godizität von Markoffschen Ketten.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Csiszár,Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Er- godizität von Markoffschen Ketten

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T00:55:16.139583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 6d9e7073-2a74-4746-bbe6-c35f42a71283 · outbound

This paper cites Sason and S.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Sason and S

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:06:37.175501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 6946f6dc-1fb7-46a7-8599-a6dd4aa499e5 · outbound

This paper cites Algebras and states in super-JT gravity.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Algebras and states in super-JT gravity

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-05-11T13:16:06.214119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 170a9124-083a-4f13-a31e-040aebc3c830 · outbound

This paper cites Voiculescu,Free probability and the von Neumann algebras of free groups, Rep.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Voiculescu,Free probability and the von Neumann algebras of free groups, Rep

Reference 39

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.173006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation 42c87aa4-7971-4462-bce0-616ee04b19a0 · outbound

This paper cites Longo and E.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Longo and E

Reference 40

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.177084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Observation db5d401a-be63-4f3b-810a-08f82cf0681d · outbound

This paper cites Witten,Gravity and the crossed product, J.

Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras Witten,Gravity and the crossed product, J

Reference 41

Resolution: verified exact; doi, observed 2026-05-10T02:06:37.178812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

Pith citing papers

Observation e7f2e3b9-b93b-40eb-8d59-17015a69f8cd · inbound

Hockey stick $f$-divergences cites this paper.

Hockey stick $f$-divergences Quantum $f$-divergences via Nussbaum-Szko{\l}a Distributions in Semifinite von Neumann Algebras

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-07-10T02:26:42.812918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.