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Paper Citation Record · LEDGER

Layer Cake Representations for Quantum Divergences

As of 13 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 12 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 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:25:47.156225Z

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

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  • verified fuzzy38
  • unresolved8
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  • 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

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:22.847782Z digest=sha256:43ad820ff710d3b58d42eb49af803fc57700e7bbb27e7b90fa0c694adcd5835e

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

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source=pdf_text observed=2026-08-06T19:03:22.954981Z digest=sha256:bcbd60638cb4c1495d76fc9794b8b72a165c7dc7f4e92b123a1879e51526d51c

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

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source=pdf_text observed=2026-08-06T19:03:23.031845Z digest=sha256:7d40540b5c00c734b43542cbca40d82188eae2734a0ebe9a080343cee6680ab6

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

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source=pdf_text observed=2026-08-06T19:03:23.128517Z digest=sha256:ec6f116cdb6f2a276fc2b02378d4d2369aa43934369cfa30fe2b5a7fae061eeb

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

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source=pdf_text observed=2026-08-06T19:03:23.242808Z digest=sha256:ab4d5987b21e525e6997c78693147e4649ca832c04aa23bdc42cc6eef636c4fa

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

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source=pdf_text observed=2026-08-06T19:03:23.352092Z digest=sha256:ab892f463e568ec08160d6189e42f19a2f5f2c066c4658d42bb7045ec8ce1784

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

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source=pdf_text observed=2026-08-06T19:03:23.416348Z digest=sha256:3658750ec657e6087942685961092e4c4b970ad88aee4f44a2721d384496ec1d

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

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source=pdf_text observed=2026-08-06T19:03:23.552589Z digest=sha256:6422365e3ddc6fe1d5da0ddc12a1ed104316fe65150f89339758479f51c12e64

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

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source=pdf_text observed=2026-08-06T19:03:23.628896Z digest=sha256:6fbf0f9ec1b6e3918abe70fe38aede5b71f2d303fce4c7b839b32f22974e4044

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

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source=pdf_text observed=2026-08-06T19:03:23.736594Z digest=sha256:f2fb06e283827a0739ca2b58e585a0db508fb2317b6c7a08f44a0343879edef5

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

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source=pdf_text observed=2026-08-06T19:03:23.847076Z digest=sha256:f2a74c35e447706d4389856f84aa7591734df89720aee849ffa4c1c7f20ff998

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

This paper cites Ohya and D.

Layer Cake Representations for Quantum Divergences Ohya and D

Reference 12

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T19:03:23.945711Z digest=sha256:10a61c1be4c15928907f15cc4e428073148758c837e8cbb3d2ba4dc837e839f9

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

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source=pdf_text observed=2026-08-06T19:03:24.065103Z digest=sha256:dc943c762caf69a51a76dc350ed7fdaf4b51631c7ead1604bb3fa7fa3a557e61

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

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source=pdf_text observed=2026-08-06T19:03:24.149864Z digest=sha256:755caca811f4fe44ab973af449ab4703acd3d34fe411dcdf72370796988fcc42

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

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source=pdf_text observed=2026-08-06T19:03:24.261366Z digest=sha256:fb3805c316a6977615b23dd26e6730fee9b32989c7d2b41733aed97d9e129223

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

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source=pdf_text observed=2026-08-06T19:03:24.336235Z digest=sha256:4c603f1506e84a307fe5eea9965e93dea74b1dc4428010744541bfa1ce1a06d4

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

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source=pdf_text observed=2026-08-06T19:03:24.394748Z digest=sha256:f58e1d0d3711ba9cf1d229e4489566fdc01d50d043701929305f2e117dcc1a5d

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

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source=pdf_text observed=2026-08-06T19:03:24.524318Z digest=sha256:cb69260796ac8a393289bda0d384ae679d02ac568bbba5d54e3360734550e649

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

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source=pdf_text observed=2026-08-06T19:03:24.593752Z digest=sha256:97dffd4c04a14ab9e130ee4c1e2d9b50f6604f7d27ffb7ab0e5ca0a23b260db4

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

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source=pdf_text observed=2026-08-06T19:03:24.734768Z digest=sha256:d4c0f39e3b2700e3fc0fa6a085a6826d5be60735d8db5805e5399d1e08abd13f

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

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source=pdf_text observed=2026-08-06T19:03:24.829066Z digest=sha256:e6bc57dfe4a96467aac085a352b37ced8424aeb163c84d5b056eff6ba1966d3c

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

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source=pdf_text observed=2026-08-06T19:03:24.915959Z digest=sha256:a8bfa3fb6404185b72ef099b0ad2a6adb90be55e010c2d296cb4ee7c7129cbfe

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

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source=pdf_text observed=2026-08-06T19:03:25.019685Z digest=sha256:2fb8e179ff6f0f0e41b715874dd368bf2ecc6b5380abb3bca0990f22c265092a

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

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source=pdf_text observed=2026-08-06T19:03:25.083649Z digest=sha256:63baa5c3c4b131a4e40ad814160ab10e9b6be7f9c0cfaeb46f198ae46557ab5e

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

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source=pdf_text observed=2026-08-06T19:03:25.142090Z digest=sha256:5d69f069c69602c5ffdadadfec8a307c1557466a9b6cef7b4e9b8b7d638a9c11

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

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source=pdf_text observed=2026-08-06T19:03:25.266140Z digest=sha256:537057d7464c044940f2bf72b5ebbe8bee1635e8527b7c7fd38b9e1df6433a73

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

This paper cites f -divergence inequalities,.

Layer Cake Representations for Quantum Divergences f -divergence inequalities,

Reference 27

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source=pdf_text observed=2026-08-06T19:03:25.421805Z digest=sha256:e5b59d53e9345630beb1f29567221f51ac4c0a0993049c78e7bf237551fce3d7

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

This paper cites Lieb and M.

Layer Cake Representations for Quantum Divergences Lieb and M

Reference 28

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source=pdf_text observed=2026-08-06T19:03:25.568700Z digest=sha256:90358ea43793da0d4036c0454902bac395e0b7afc648089e9b62ed6ebafb64ae

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

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source=pdf_text observed=2026-08-06T19:03:25.719216Z digest=sha256:2a7cc06827267620b8006475b035be1cb446416431a45904eef02af2034f50b3

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

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source=pdf_text observed=2026-08-06T19:03:25.822779Z digest=sha256:d35103ef520401c6a486bcfabd906acd279539c58bd4c528fec22e9304116fbb

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

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source=pdf_text observed=2026-08-06T19:03:25.931627Z digest=sha256:2317829145e002fef92d7d00250ee0fcf92861827a601f3a30d18ef4f6cf4395

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

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source=pdf_text observed=2026-08-06T19:03:26.078307Z digest=sha256:5b663676f1e08abbbc3b183bbfed2efe59aa808d63ad89eb647d0db875ac3bc3

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

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source=pdf_text observed=2026-08-06T19:03:26.194264Z digest=sha256:f00b7730d7362901f6b05e44459462c0f8cfc0936b8d20104938feddbe1827bb

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

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source=pdf_text observed=2026-08-06T19:03:26.381417Z digest=sha256:b15fd00462e5967b26cb9c1fabdbb58e98af3d0f7e7bf58278bd8ca94d4b9bc0

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

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:26.615564Z digest=sha256:2105910b4ae26b183a0ade9727500328447aa4f162bb006a7aa6ecf12413dcbf

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:26.743281Z digest=sha256:2caa832dd453e05bb193acac733e8e688c81c00053b0b51113283ea7dd3391d1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:26.943279Z digest=sha256:86efd0ff8623955554c33e055f3fbe9765292f03628b88d7666c818cb3f8a21b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:27.064471Z digest=sha256:b98c54ffa5f507c72eb7d94b98904e4ad85bcd626d3a7108178ddc67abcab471

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:27.228962Z digest=sha256:e5aa68a2a8aec7158fd9b788f4433c807829e2a84a0d1f9790d91c0eef1d161e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:27.381303Z digest=sha256:a245f3dd0c0f580caef23f278e9bae20fdc267842e4efb68595ab9ea347854a1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:27.485612Z digest=sha256:4d097f4a2300744f5bc81a3e25d1d047708ab7959460ed8903f765575ba5a189

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:27.606899Z digest=sha256:2f7eae453567691913746a9681ea5b2941ea63f81d5ac870ef5a274ab5699d14

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:27.784163Z digest=sha256:ccaf256c6c1fceee80c8cbd7211ecca3678b18b89b40f3fc2806ae2b659166d3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:27.951495Z digest=sha256:57a6b6cc54e100d04f837afa619a02ca53666767801d09b30a784a51a14ca58c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:28.099061Z digest=sha256:e89f8325797914d12c0b4a224f69475acdbdb59216d4542655f822b9c9c477f2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:03:28.272894Z digest=sha256:91d40d4027feaa84d238e22355a76d91416d7a95d650ab45995594fd7e4bb9f3

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.

source=pdf_text observed=2026-08-06T19:25:47.156225Z digest=sha256:6867b463f3c926c07562160eef1f86af159d529d86efb6d396239ccdda1b2637

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.

source=pdf_text observed=2026-08-06T18:43:48.407052Z digest=sha256:40d68586d4cf279ff69fdbe92a1c90ffae0ad08c201f817d5ff0d9cc85fa5569

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T18:02:19.513490Z digest=sha256:f642aa579f75e3cbdedc54ce257b890c2685639e7d02648c513283bf4ca837e1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-15T06:45:03.519810Z digest=sha256:78e919d5ee8ab19f99518f47c68be795a2c5ffa31e27c133e6ba57b8329589e5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T11:53:52.233992Z digest=sha256:5463c5391d5b1157006e8a1444e90b332c83bdc10ac2d9f4fee870ffa9fadac7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-13T07:55:19.205772Z digest=sha256:9531d6a2048a41919629dac219fb4a2330c8a8600d0beec896452eac6182b807

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T22:16:31.903127Z digest=sha256:ced85ee869814e2f36b183c9712bf53f3af200a4e94b09695b2f7e07e197de23

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T01:25:38.145414Z digest=sha256:f28a2fe883eb6f3ccd9814e2cb03ee917c2b05d13e77171b4e0fe2317085c68d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T12:50:47.787535Z digest=sha256:ea9b5d1c8f1b62acacdbac10830f2c08ca7f04770cf4246c603d77d2c266af8f

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.

source=pdf_text observed=2026-07-12T01:24:32.061557Z digest=sha256:2cdac748d96d615da9e0ff960dc3ed4cf4ab27ff699e655780d9395d7d8e5595

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-08T00:07:38.510338Z digest=sha256:7c16ddf77565d044babc2250e817534421d8132e952ee417aec486c960592373

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-10T02:22:53.196107Z digest=sha256:7d567a5fe33772f3bd7578687a22a4e850d8dc13d9e9222da54300e876f388ee