Paper Citation Record · LEDGER

Layer Cake Representations for Quantum Divergences

As of 22 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 13 inbound Pith citation observations for arXiv:2507.07065.

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

pith.paper-citation-record.v1
2507.07065 v2

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:03:28.272894Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:44:19.017463Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

46 of 46 outbound references displayed

verified exact0
verified fuzzy38
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation a19979b2-9fd3-4c34-968d-370e9c015b42 · outbound

This paper cites α-z-R´ enyi relative entropies,.

Layer Cake Representations for Quantum Divergences α-z-R´ enyi relative entropies,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:37.168369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7a87a4c9-a0e1-4715-8fdd-3ee268e07cdf · outbound

This paper cites Tomamichel, Quantum Information Processing with Finite Resources.

Layer Cake Representations for Quantum Divergences Tomamichel, Quantum Information Processing with Finite Resources

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:36.976296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 02172e1a-6f83-4be0-9f21-1c101d49db3b · outbound

This paper cites On measures of entropy and information,.

Layer Cake Representations for Quantum Divergences On measures of entropy and information,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:36.749729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bb1d5323-1acb-4b2a-b6a0-1f2916f0fdd5 · outbound

This paper cites On the relative entropy,.

Layer Cake Representations for Quantum Divergences On the relative entropy,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:36.497146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 978ec423-fc80-4809-bfec-f3ca1713e162 · outbound

This paper cites The proper formula for relative entropy and its asymptotics in quantum probability,.

Layer Cake Representations for Quantum Divergences The proper formula for relative entropy and its asymptotics in quantum probability,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:36.278750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c4b74c83-bc2b-49d9-a8a6-7b288aaf428c · outbound

This paper cites Matsumoto, A New Quantum Version of f -Divergence.

Layer Cake Representations for Quantum Divergences Matsumoto, A New Quantum Version of f -Divergence

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:35.979346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6fca6ee6-03e4-4e8f-a61c-c5845b5811d3 · outbound

This paper cites Quantum f -divergences in von Neumann algebras. ii. maximal f -divergences,.

Layer Cake Representations for Quantum Divergences Quantum f -divergences in von Neumann algebras. ii. maximal f -divergences,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:35.776046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bf3757cf-6390-4f25-8946-315764d56b7c · outbound

This paper cites Relative entropy of states of von Neumann algebras,.

Layer Cake Representations for Quantum Divergences Relative entropy of states of von Neumann algebras,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:35.536437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1ee376d2-548a-4293-912e-0f89c4b56c04 · outbound

This paper cites Relative entropy of states of von Neumann algebras. ii,.

Layer Cake Representations for Quantum Divergences Relative entropy of states of von Neumann algebras. ii,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:35.218761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6de6a0bc-1d92-4d66-988a-110c1853ae2a · outbound

This paper cites Quasi-entropies for states of a von Neumann algebra,.

Layer Cake Representations for Quantum Divergences Quasi-entropies for states of a von Neumann algebra,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:34.983306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 24ac3bbd-6e71-4d4a-8c6c-21569f5951ca · outbound

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

Layer Cake Representations for Quantum Divergences Quasi-entropies for finite quantum systems,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:34.763754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7bb969b4-26a8-45f4-bad8-f1502769b623 · outbound

This paper cites Ohya and D.

Layer Cake Representations for Quantum Divergences Ohya and D

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:23.945711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d2d67a5-ae2b-4239-a6bc-17e959201c0c · outbound

This paper cites Quantumf -divergences and error correction,.

Layer Cake Representations for Quantum Divergences Quantumf -divergences and error correction,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:34.464302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ecb88e3e-6dcd-4974-ae7f-7bbc406cb91c · outbound

This paper cites Quantum f -divergences in von Neumann algebras. i. standard f -divergences,.

Layer Cake Representations for Quantum Divergences Quantum f -divergences in von Neumann algebras. i. standard f -divergences,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:34.187632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 288c6a93-284b-496f-90de-2375c8b49503 · outbound

This paper cites Functional calculus for sesquilinear forms and the purification map,.

Layer Cake Representations for Quantum Divergences Functional calculus for sesquilinear forms and the purification map,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:33.914803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2bc2d165-6b2c-40e6-9fd0-3274e2b697c7 · outbound

This paper cites Means of positive linear operators,.

Layer Cake Representations for Quantum Divergences Means of positive linear operators,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:33.696610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b4356b75-15e2-4f1e-bffb-801f302b4718 · outbound

This paper cites C ∗-algebraic generalization of relative entropy and entropy,.

Layer Cake Representations for Quantum Divergences C ∗-algebraic generalization of relative entropy and entropy,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:33.398271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 359c011c-9b68-4f48-b5eb-f70087997480 · outbound

This paper cites On quantum R´ enyi entropies: A new generalization and some properties,.

Layer Cake Representations for Quantum Divergences On quantum R´ enyi entropies: A new generalization and some properties,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:24.524318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c708633c-2202-488b-bc8c-a8a22a8b398f · outbound

This paper cites Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched R´ enyi relative entropy,.

Layer Cake Representations for Quantum Divergences Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched R´ enyi relative entropy,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:24.593752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71165628-b7cd-47e2-8781-5302f0bb8f21 · outbound

This paper cites Error exponent and strong converse for quantum soft covering,.

Layer Cake Representations for Quantum Divergences Error exponent and strong converse for quantum soft covering,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:24.734768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0b401c5-f94d-4e00-9794-05f9f8515bbe · outbound

This paper cites Tight One-Shot Analysis for Convex Splitting with Applications in Quantum Information Theory.

Layer Cake Representations for Quantum Divergences Tight One-Shot Analysis for Convex Splitting with Applications in Quantum Information Theory

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:24.829066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15f03484-8a47-4c3b-b770-5410075afb64 · outbound

This paper cites R´ enyi relative entropies and noncommutativeLp-spaces,.

Layer Cake Representations for Quantum Divergences R´ enyi relative entropies and noncommutativeLp-spaces,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:33.160536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 00f2122f-846e-4236-9285-a88bc9bb06ce · outbound

This paper cites R´ enyi divergences as weighted non-commutative vector-valued Lp-spaces,.

Layer Cake Representations for Quantum Divergences R´ enyi divergences as weighted non-commutative vector-valued Lp-spaces,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:32.880496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c34e1f84-95b2-4919-a5fe-8cbeb2eb1b3c · outbound

This paper cites Hiai, Quantum f -Divergences in von Neumann Algebras: Reversibility of Quantum Operations.

Layer Cake Representations for Quantum Divergences Hiai, Quantum f -Divergences in von Neumann Algebras: Reversibility of Quantum Operations

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:32.653115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ad0facd-b580-4395-a526-2138b88b7beb · outbound

This paper cites Applications of the complex interpolation method to a von Neumann algebra: Non-commutative Lp-spaces,.

Layer Cake Representations for Quantum Divergences Applications of the complex interpolation method to a von Neumann algebra: Non-commutative Lp-spaces,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:32.426653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c3ae7f4f-67b4-419d-bb2c-a987d87984f2 · outbound

This paper cites Quantum r´ enyi andf -divergences from integral representations,.

Layer Cake Representations for Quantum Divergences Quantum r´ enyi andf -divergences from integral representations,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:25.266140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f16f61e-fe78-4d0e-b46e-f08d3593f960 · outbound

This paper cites f -divergence inequalities,.

Layer Cake Representations for Quantum Divergences f -divergence inequalities,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:32.179093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c45b177a-ca15-4179-bd91-4542411e3606 · outbound

This paper cites Lieb and M.

Layer Cake Representations for Quantum Divergences Lieb and M

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:31.994285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 839d8461-b86b-4ba3-9df8-0fbfc1bbddea · outbound

This paper cites Some properties and applications of the new quantum $f$-divergences.

Layer Cake Representations for Quantum Divergences Some properties and applications of the new quantum $f$-divergences

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:25.719216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dace4324-1bde-4039-8bf7-1203b89dbf36 · outbound

This paper cites Error Exponents for Quantum Packing Problems via An Operator Layer Cake Theorem.

Layer Cake Representations for Quantum Divergences Error Exponents for Quantum Packing Problems via An Operator Layer Cake Theorem

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:25.822779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 913f71cc-7039-4b1a-894b-7b9fbae25f67 · outbound

This paper cites Conditional expectation in an operator algebra. IV. entropy and information,.

Layer Cake Representations for Quantum Divergences Conditional expectation in an operator algebra. IV. entropy and information,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:31.748218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ce36c567-0ccc-46c4-a55a-fc8f3507f496 · outbound

This paper cites Integral formula for quantum relative entropy implies data processing inequality,.

Layer Cake Representations for Quantum Divergences Integral formula for quantum relative entropy implies data processing inequality,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:31.526797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9f385343-c9ce-47b8-a2ef-fcc0953b6276 · outbound

This paper cites Discriminating states: The quantum Chernoff bound,.

Layer Cake Representations for Quantum Divergences Discriminating states: The quantum Chernoff bound,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:31.306958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dc130bfc-e15b-42f9-9a37-2f7390020ec7 · outbound

This paper cites Asymptotic error rates in quantum hy- pothesis testing,.

Layer Cake Representations for Quantum Divergences Asymptotic error rates in quantum hy- pothesis testing,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:31.110100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5bfa136f-01f0-4ebb-be81-3a25a977f32c · outbound

This paper cites Convex trace functions and the Wigner-Yanase-Dyson conjecture,.

Layer Cake Representations for Quantum Divergences Convex trace functions and the Wigner-Yanase-Dyson conjecture,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:30.889068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d3e1faa-36e6-401a-90bd-9fbc8c789a6a · outbound

This paper cites Multivariate trace inequalities,.

Layer Cake Representations for Quantum Divergences Multivariate trace inequalities,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:30.678268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d1577284-f5ef-4276-96f2-b96dcb5df95a · outbound

This paper cites On the strong converses for the quantum channel capacity theorems,.

Layer Cake Representations for Quantum Divergences On the strong converses for the quantum channel capacity theorems,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:30.427976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5bc36c67-c0b0-42be-8738-d94b8681fa36 · outbound

This paper cites Quantum differential privacy: An information theory perspective,.

Layer Cake Representations for Quantum Divergences Quantum differential privacy: An information theory perspective,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:30.184976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 07443556-6af0-437a-80ab-48a73af0cc3c · outbound

This paper cites Sample complexity of locally differentially private quantum hypothesis testing,.

Layer Cake Representations for Quantum Divergences Sample complexity of locally differentially private quantum hypothesis testing,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:30.066300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 359df932-5bb9-4407-9c4e-bf5b9d430341 · outbound

This paper cites Kato, Perturbation Theory for Linear Operators.

Layer Cake Representations for Quantum Divergences Kato, Perturbation Theory for Linear Operators

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:29.890516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3dc78a2b-9629-4586-8944-238158831827 · outbound

This paper cites Hiai and D.

Layer Cake Representations for Quantum Divergences Hiai and D

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:29.646110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 75c82a81-aea0-4843-abf8-e57a5efdef82 · outbound

This paper cites Polyanskiy, Channel coding: Non-asymptotic fundamental limits.

Layer Cake Representations for Quantum Divergences Polyanskiy, Channel coding: Non-asymptotic fundamental limits

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:29.413926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43267af7-dad2-46c4-9bc8-a77d266d32ea · outbound

This paper cites Quantum hypothesis testing and the operational interpretation of the quantum r´ enyi relative entropies,.

Layer Cake Representations for Quantum Divergences Quantum hypothesis testing and the operational interpretation of the quantum r´ enyi relative entropies,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:29.204874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e300f677-569a-4143-a4ac-70de32230cd3 · outbound

This paper cites The Chernoff lower bound for symmetric quantum hypothesis testing,.

Layer Cake Representations for Quantum Divergences The Chernoff lower bound for symmetric quantum hypothesis testing,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:29.011544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0ab938c9-7cb8-44f4-9604-715340811f3d · outbound

This paper cites Polyanskiy and Y.

Layer Cake Representations for Quantum Divergences Polyanskiy and Y

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:28.781297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 539466af-ac90-45fe-8898-70520af6f225 · outbound

This paper cites A variational expression for the relative entropy,.

Layer Cake Representations for Quantum Divergences A variational expression for the relative entropy,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:03:28.553673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 3d28299f-9000-4238-bf55-9f13aa987fdd · inbound

Error Exponents for Quantum Packing Problems via An Operator Layer Cake Theorem cites this paper.

Error Exponents for Quantum Packing Problems via An Operator Layer Cake Theorem Layer Cake Representations for Quantum Divergences

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-06T19:25:47.156225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fc9c2a8-68a0-479f-9ae6-f3cc278e9691 · inbound

Sharp estimates of quantum covering problems via a novel trace inequality cites this paper.

Sharp estimates of quantum covering problems via a novel trace inequality Layer Cake Representations for Quantum Divergences

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T18:43:48.407052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4949ba7f-19ed-42f2-b8a5-8f8917dfac22 · inbound

Sufficiency and Petz recovery for positive maps cites this paper.

Sufficiency and Petz recovery for positive maps Layer Cake Representations for Quantum Divergences

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-10T20:35:47.429200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9088ebf7-72d2-4dc7-a6ec-01ff7dedb541 · inbound

Sufficiency and Petz recovery for positive maps cites this paper.

Sufficiency and Petz recovery for positive maps Layer Cake Representations for Quantum Divergences

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-15T06:45:10.251750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bfbb0c32-4ce3-42bd-bd18-f02ee97c5411 · inbound

Optimal Trace Inequalities for Single-Shot Quantum Information cites this paper.

Optimal Trace Inequalities for Single-Shot Quantum Information Layer Cake Representations for Quantum Divergences

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:55:20.552526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43757e14-23c3-4ba3-a0be-3375ff9ac95a · inbound

Optimal Trace Inequalities for Single-Shot Quantum Information cites this paper.

Optimal Trace Inequalities for Single-Shot Quantum Information Layer Cake Representations for Quantum Divergences

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-13T07:57:31.461131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e0a2299d-0e20-460c-9ff9-5061fbe78e46 · inbound

R\'enyi divergences and binary state discrimination error exponents for fermionic quasi-free states cites this paper.

R\'enyi divergences and binary state discrimination error exponents for fermionic quasi-free states Layer Cake Representations for Quantum Divergences

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-01T19:36:09.042863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 526cc3cc-506f-4c8b-99c0-fa356c3106b4 · inbound

Multiple Quantum Hypothesis Testing: One-Shot Pairwise Bounds and Sharp Asymptotics cites this paper.

Multiple Quantum Hypothesis Testing: One-Shot Pairwise Bounds and Sharp Asymptotics Layer Cake Representations for Quantum Divergences

Reference 74

Resolution: verified exact; arxiv_id, observed 2026-07-02T13:16:58.966020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7a03a59d-dd55-412d-a6c2-576661beb22e · inbound

Quantum Noncommutativity Uniquely Determines Relative Entropy cites this paper.

Quantum Noncommutativity Uniquely Determines Relative Entropy Layer Cake Representations for Quantum Divergences

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:58:07.532144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 17969673-03b5-42bb-aa7c-a14dd17c0bd0 · inbound

Quantum Noncommutativity Uniquely Determines Relative Entropy cites this paper.

Quantum Noncommutativity Uniquely Determines Relative Entropy Layer Cake Representations for Quantum Divergences

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T15:44:19.017463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca614b9d-a02f-43ab-ad5c-30be3e04903b · inbound

Device-independent Quantum Key Distribution in the commuting operator framework cites this paper.

Device-independent Quantum Key Distribution in the commuting operator framework Layer Cake Representations for Quantum Divergences

Reference 48

Resolution: unresolved; no resolver link, observed 2026-07-12T01:24:32.061557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bce9c1de-8506-4160-8fd4-1251fdaed6b0 · inbound

Integral representations of $f$-divergences for general von Neumann algebras cites this paper.

Integral representations of $f$-divergences for general von Neumann algebras Layer Cake Representations for Quantum Divergences

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-07-08T00:14:22.286021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b552c2f3-fbbf-4e55-886c-7a123b9848ac · inbound

Hockey stick $f$-divergences cites this paper.

Hockey stick $f$-divergences Layer Cake Representations for Quantum Divergences

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-07-10T02:26:42.819738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.