Paper Citation Record · LEDGER

Relative entropy for von Neumann subalgebras

As of 20 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1909.01906.

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pith.paper-citation-record.v1
1909.01906 v3

Coverage vector

measured 43 of 43 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T05:18:56.482348Z

measured 43 of 43 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

43 of 43 outbound references displayed

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Outbound references

Observation a2db5ad0-b7a3-4cbb-8264-be7d86fe54df · outbound

This paper cites Relative entropy of states of von neumann algebr as.

Relative entropy for von Neumann subalgebras Relative entropy of states of von neumann algebr as

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.229522Z

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Observation 3aff9708-bc6a-4312-9258-bdfee439a1e1 · outbound

This paper cites Analysis and geometry of Markov diﬀusion op- erators, volume 348.

Relative entropy for von Neumann subalgebras Analysis and geometry of Markov diﬀusion op- erators, volume 348

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.213900Z

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Observation 941007f8-b1e4-49c0-a24f-51d1550a9bc9 · outbound

This paper cites Estimating the decoherence time using non-commutative Functional Inequalities.

Relative entropy for von Neumann subalgebras Estimating the decoherence time using non-commutative Functional Inequalities

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:18:56.714470Z

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Observation d3632a4f-2b6d-46db-ab93-a123bdd038f8 · outbound

This paper cites Hypercontractivity and logarithmic Sobolev Inequality for non-primitive quantum Markov semigroups and estimation of decoherence rates.

Relative entropy for von Neumann subalgebras Hypercontractivity and logarithmic Sobolev Inequality for non-primitive quantum Markov semigroups and estimation of decoherence rates

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:18:56.692932Z

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Observation 1eb10aef-2fac-4d8f-9aee-58717e4228b7 · outbound

This paper cites Quantifying coherence.

Relative entropy for von Neumann subalgebras Quantifying coherence

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.199050Z

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Observation 1fb0a50c-9cfc-4ae8-bc9b-d2b5ce9f5283 · outbound

This paper cites R´ enyi dive rgences as weighted non- commutative vector-valued lp-spaces.

Relative entropy for von Neumann subalgebras R´ enyi dive rgences as weighted non- commutative vector-valued lp-spaces

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.182856Z

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Observation 43ce74e5-aa21-4c76-8208-9ead5f79f5dc · outbound

This paper cites Gradient ﬂow structure and exponential decay of the sandwiched r´ enyi divergence for primitive lindblad equations with gns-detailed b alance.

Relative entropy for von Neumann subalgebras Gradient ﬂow structure and exponential decay of the sandwiched r´ enyi divergence for primitive lindblad equations with gns-detailed b alance

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.167434Z

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Observation aefae5ca-256a-4272-8353-effce4107053 · outbound

This paper cites Gradient ﬂow and entropy inequalities f or quantum markov semigroups with detailed balance.

Relative entropy for von Neumann subalgebras Gradient ﬂow and entropy inequalities f or quantum markov semigroups with detailed balance

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.152954Z

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Observation 6e1b7065-bf90-4fa2-bf6a-8b1638575300 · outbound

This paper cites Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems.

Relative entropy for von Neumann subalgebras Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:18:56.670534Z

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Observation 984d07f5-8506-4f61-be98-8c059bbea446 · outbound

This paper cites Noncommutative de leeuw theo- rems.

Relative entropy for von Neumann subalgebras Noncommutative de leeuw theo- rems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.137306Z

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Observation baebfb90-9928-4f4b-87f4-e81e6d746a48 · outbound

This paper cites A Brief History of the GKLS Equation.

Relative entropy for von Neumann subalgebras A Brief History of the GKLS Equation

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:18:56.648095Z

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Observation 3d7a7433-0781-4dd2-b992-8da698fe66af · outbound

This paper cites Entropy for automorphisms of ii 1 von neumann algebras.

Relative entropy for von Neumann subalgebras Entropy for automorphisms of ii 1 von neumann algebras

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.122134Z

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Observation d4d75d23-1a4c-488f-b9a4-5ceefe770a09 · outbound

This paper cites Operator spaces.

Relative entropy for von Neumann subalgebras Operator spaces

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.106683Z

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Observation f0c2b62e-26ce-4c32-8d68-4b810c2e240c · outbound

This paper cites Generalized s-numbers of τ-measurable operators.

Relative entropy for von Neumann subalgebras Generalized s-numbers of τ-measurable operators

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.090776Z

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Observation 366b26d2-d8d4-45f9-9ff9-e88aa7ffdeca · outbound

This paper cites Unifying Entanglement with Uncertainty via Symmetries of Observable Algebras.

Relative entropy for von Neumann subalgebras Unifying Entanglement with Uncertainty via Symmetries of Observable Algebras

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T05:18:56.347032Z

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Observation 41a45868-8fde-450e-a4c5-06e03e46dbe5 · outbound

This paper cites Fisher Information and Logarithmic Sobolev Inequality for Matrix Valued Functions.

Relative entropy for von Neumann subalgebras Fisher Information and Logarithmic Sobolev Inequality for Matrix Valued Functions

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:18:56.609910Z

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Observation 2a4946b4-c76f-43f3-a05b-5a8bad7d82fa · outbound

This paper cites Measuring th e quality of a quantum reference frame: The relative entropy of frameness.

Relative entropy for von Neumann subalgebras Measuring th e quality of a quantum reference frame: The relative entropy of frameness

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.075437Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ada2e324-494c-4212-bf4f-8bd455fb6f70 · outbound

This paper cites Interpolation of quasi noncommutative $L_p$-spaces.

Relative entropy for von Neumann subalgebras Interpolation of quasi noncommutative $L_p$-spaces

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:18:56.586753Z

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Observation 8856a0db-42b0-4385-8d34-903ca6a5463d · outbound

This paper cites Multiplicativity of completely bound ed p-norms implies a strong converse for entanglement-assisted capacity.

Relative entropy for von Neumann subalgebras Multiplicativity of completely bound ed p-norms implies a strong converse for entanglement-assisted capacity

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.059686Z

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Observation 865b5008-a321-4dd3-80e1-83f63c8141b2 · outbound

This paper cites R´ enyi relative entropies and noncommutative lp-spaces.

Relative entropy for von Neumann subalgebras R´ enyi relative entropies and noncommutative lp-spaces

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.044139Z

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Observation 2d6afcb7-a229-463b-97a9-0b1a91bd951b · outbound

This paper cites R\'enyi relative entropies and noncommutative $L_p$-spaces II.

Relative entropy for von Neumann subalgebras R\'enyi relative entropies and noncommutative $L_p$-spaces II

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T05:18:56.376010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17489507-7113-455a-b7a2-e5a5112d9426 · outbound

This paper cites Index for subfactors.

Relative entropy for von Neumann subalgebras Index for subfactors

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.028781Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b0c1edfa-2295-4557-8f0f-9028beb714f1 · outbound

This paper cites Mixed-norm inequalities and operator space L p embedding theory.

Relative entropy for von Neumann subalgebras Mixed-norm inequalities and operator space L p embedding theory

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:57.013403Z

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Observation 1458d4e7-4ece-42dc-9ec6-149ff760e8d4 · outbound

This paper cites Applications of the complex interpolation method t o a von neumann algebra: non- commutative lp-spaces.

Relative entropy for von Neumann subalgebras Applications of the complex interpolation method t o a von neumann algebra: non- commutative lp-spaces

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.998408Z

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Observation 6ec8276a-fa2a-4e1e-bcb7-ca45c3c47e4a · outbound

This paper cites Strong conver se theorems using r´ enyi entropies.

Relative entropy for von Neumann subalgebras Strong conver se theorems using r´ enyi entropies

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.982389Z

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Observation 5edbd69f-7881-4a04-b7ec-b14a4c5a1ed1 · outbound

This paper cites Extending noethers the orem by quantifying the asymmetry of quantum states.

Relative entropy for von Neumann subalgebras Extending noethers the orem by quantifying the asymmetry of quantum states

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.967109Z

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Observation 67b9fc2c-6fd3-4c5b-9e2c-a5bc1f6039cb · outbound

This paper cites Sandwiched r´ enyi convergence for quantum evo- lutions.

Relative entropy for von Neumann subalgebras Sandwiched r´ enyi convergence for quantum evo- lutions

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.951245Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b4e7cd35-6f69-4c2a-a8cd-f36a67c0e6cb · outbound

This paper cites On quan- tum r´ enyi entropies: A new generalization and some properties.

Relative entropy for von Neumann subalgebras On quan- tum r´ enyi entropies: A new generalization and some properties

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.935974Z

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Observation 24e604f8-387c-49d9-a055-3cfbd5c6361e · outbound

This paper cites Strong converse and st ein’s lemma in quantum hypothesis testing.

Relative entropy for von Neumann subalgebras Strong converse and st ein’s lemma in quantum hypothesis testing

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.920725Z

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Observation eccca15b-e115-4cf3-a5db-96124da6cb5a · outbound

This paper cites Completely bounded maps and operator algebras , volume 78.

Relative entropy for von Neumann subalgebras Completely bounded maps and operator algebras , volume 78

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.905702Z

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Observation e711b279-c5b7-4b55-811a-3a18da645e53 · outbound

This paper cites Entropy and index for subfactor s.

Relative entropy for von Neumann subalgebras Entropy and index for subfactor s

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.890586Z

Source-reported events for the cited work

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Observation ee7a0456-f61f-48e8-8ebd-fbc2f2350378 · outbound

This paper cites Relating relative entropy, optimal transport and Fisher information: a quantum HWI inequality.

Relative entropy for von Neumann subalgebras Relating relative entropy, optimal transport and Fisher information: a quantum HWI inequality

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:18:56.549206Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6a8c3e76-5564-4cd2-ba72-c66fc0f74ba6 · outbound

This paper cites Metric spaces and positive deﬁnite funct ions.

Relative entropy for von Neumann subalgebras Metric spaces and positive deﬁnite funct ions

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.874296Z

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Observation dd8b52ee-fe2d-4fa9-8531-9ad35b9bc061 · outbound

This paper cites Relative entropy for ﬁnite von neumann algebras.

Relative entropy for von Neumann subalgebras Relative entropy for ﬁnite von neumann algebras

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.856102Z

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Observation 0ea715db-aaa6-4641-8c13-fa895e78ef1c · outbound

This paper cites an unresolved cited work.

Relative entropy for von Neumann subalgebras Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:18:56.840164Z

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Observation 32592cbd-e912-4846-99ca-648ba9ee66c3 · outbound

This paper cites Conditional expectation in an operator algeb ra, iv (entropy and information).

Relative entropy for von Neumann subalgebras Conditional expectation in an operator algeb ra, iv (entropy and information)

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.824398Z

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Observation 83dc0383-5d0d-4b6f-981c-81330e4409fe · outbound

This paper cites Tradeoﬀ between ex- tractable mechanical work, accessible entanglement, and ability to act as a reference system, under arbitrary superselection rules.

Relative entropy for von Neumann subalgebras Tradeoﬀ between ex- tractable mechanical work, accessible entanglement, and ability to act as a reference system, under arbitrary superselection rules

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.808534Z

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Observation c753fd8d-dda4-4cb6-b3fb-1abe58597d7a · outbound

This paper cites The role of relative entropy in quantum informatio n theory.

Relative entropy for von Neumann subalgebras The role of relative entropy in quantum informatio n theory

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.790417Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 998be2e4-bc7d-428f-94bf-1a16f4bdf6df · outbound

This paper cites Resource theory of asymmetric distinguishability.

Relative entropy for von Neumann subalgebras Resource theory of asymmetric distinguishability

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:18:56.526387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a912fe65-a186-4121-944c-8b2d266da1b7 · outbound

This paper cites The theory of quantum information.

Relative entropy for von Neumann subalgebras The theory of quantum information

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-14T05:18:56.468837Z

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Unavailable: canonical work link unavailable.

Observation b48cb881-e8d4-4d11-99fd-8ec06667dca4 · outbound

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

Relative entropy for von Neumann subalgebras Strong converse for the classical capacity of entanglement-breaking and hadamard channels via a sandwiched r´ enyi relative entropy

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.764248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 314809e4-058e-4f15-afb7-ec02a91bcd0f · outbound

This paper cites Tight uniform continuity bounds for quantum e ntropies: conditional entropy, rela- tive entropy distance and energy constraints.

Relative entropy for von Neumann subalgebras Tight uniform continuity bounds for quantum e ntropies: conditional entropy, rela- tive entropy distance and energy constraints

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.748288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4471559e-0eb4-4258-9b89-ee6d10cf399a · outbound

This paper cites Operational resource theory of coherence.

Relative entropy for von Neumann subalgebras Operational resource theory of coherence

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:18:56.730922Z

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