Paper Citation Record · LEDGER

Maximal R\'enyi Relative Entropy for $\alpha>2$

As of 16 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2608.01124.

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

pith.paper-citation-record.v1
2608.01124 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:23:32.431989Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:23:31.061971Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T15:23:32.845699Z

Reference resolution

57 of 57 outbound references displayed

verified exact1
verified fuzzy39
unresolved15
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

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Outbound references

Observation 28fd9c30-64d2-48cc-a48a-78030b60bddb · outbound

This paper cites The following lemma provides an explicit characterization of such elements.

Maximal R\'enyi Relative Entropy for $\alpha>2$ The following lemma provides an explicit characterization of such elements

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:35.296118Z

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Observation c8d3449f-d4a5-43f1-b4ca-5c9503c8b49e · outbound

This paper cites an unresolved cited work.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:23:35.310808Z

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Observation bf22c277-03f5-4921-b036-5abbdcec6d47 · outbound

This paper cites Maximal R\'enyi Relative Entropy for $\alpha>2$.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Maximal R\'enyi Relative Entropy for $\alpha>2$

Reference 3

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T15:23:32.851130Z

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Observation 15c0b6d9-25d6-47e0-9687-6ed16624cf28 · outbound

This paper cites Explicitly,x∼yif and only if there existz 1,...,z n∈Ssuch that x⊴z 1⊵z 2⊴···⊵z n⊴y.(99) We denote the component homomorphisms of∥·∥by∥·∥ (j), forj= 1,...,d.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Explicitly,x∼yif and only if there existz 1,...,z n∈Ssuch that x⊴z 1⊵z 2⊴···⊵z n⊴y.(99) We denote the component homomorphisms of∥·∥by∥·∥ (j), forj= 1,...,d

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:35.266815Z

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Observation fc21e321-f14d-4fad-b410-7f7bdf21a9f3 · outbound

This paper cites an unresolved cited work.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:23:35.249564Z

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Observation 6fcbca41-b7ba-436b-a35a-629021d33812 · outbound

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Maximal R\'enyi Relative Entropy for $\alpha>2$ Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:23:35.236421Z

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Observation 208e927e-8cce-42c5-8cdd-7299d1e26996 · outbound

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Maximal R\'enyi Relative Entropy for $\alpha>2$ Unresolved cited work

Reference 7

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Observation ec300d91-46ce-4dcf-bbb6-ee3fc018b51f · outbound

This paper cites an unresolved cited work.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:23:35.207728Z

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Observation 75254093-38ff-4878-8a2a-8a4f61864ac1 · outbound

This paper cites We call a monotone homomorphismdegenerateifx⊴y⇒Φ(x) = Φ(y).

Maximal R\'enyi Relative Entropy for $\alpha>2$ We call a monotone homomorphismdegenerateifx⊴y⇒Φ(x) = Φ(y)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:35.194059Z

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Observation 36dd5bfe-2159-44cd-b3d2-4b6f59b4b52f · outbound

This paper cites an unresolved cited work.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:23:35.056042Z

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Observation a14ca09f-ff2a-4b46-8ed0-0c0b556f47cc · outbound

This paper cites Proof.By Theorem 8, the strict-ordering conditions must be verified for every monotone homomorphism and every derivation of the quantum-majorization semiring.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Proof.By Theorem 8, the strict-ordering conditions must be verified for every monotone homomorphism and every derivation of the quantum-majorization semiring

Reference 11

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T15:23:34.861117Z

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Observation 9c2da96b-7ca3-40a0-b1cb-b43a10c13ea0 · outbound

This paper cites α-z-Relative Renyi Entropies.

Maximal R\'enyi Relative Entropy for $\alpha>2$ α-z-Relative Renyi Entropies

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.741816Z

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Observation b2d8d7a7-c8f2-4d54-870d-28d3ff875805 · outbound

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

Maximal R\'enyi Relative Entropy for $\alpha>2$ C ∗-algebraic generalization of relative entropy and entropy

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.721817Z

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Observation 6592eb1c-7473-40a0-ba4b-04a17756ffab · outbound

This paper cites On variational expressions for quantum relative entropies.

Maximal R\'enyi Relative Entropy for $\alpha>2$ On variational expressions for quantum relative entropies

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.701666Z

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Observation 5f8f5cb4-f8e5-4408-8073-2521314f98f5 · outbound

This paper cites Resource theory of quantum states out of thermal equilibrium.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Resource theory of quantum states out of thermal equilibrium

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.685188Z

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Observation bb2b8270-3dab-477f-834e-96916df5f963 · outbound

This paper cites An information-theoretic treatment of quantum dichotomies.

Maximal R\'enyi Relative Entropy for $\alpha>2$ An information-theoretic treatment of quantum dichotomies

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.665685Z

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Observation 95505a11-1577-4ec1-8619-18fa7cedba76 · outbound

This paper cites Min-and max-relative entropies and a new entanglement monotone.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Min-and max-relative entropies and a new entanglement monotone

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.569189Z

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Observation bea48564-bec5-4e94-95b4-27557faf12c5 · outbound

This paper cites On the Relative Entropy.

Maximal R\'enyi Relative Entropy for $\alpha>2$ On the Relative Entropy

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.328166Z

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Observation bf3eb5d7-2a38-42c0-a904-d6e5c2ef5235 · outbound

This paper cites Multiple-copy entanglement transformation and entanglement cataly- sis.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Multiple-copy entanglement transformation and entanglement cataly- sis

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.259698Z

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Observation 3cffa977-e18d-4146-8a6f-d4ea914fdfe9 · outbound

This paper cites Gibbs-preserving maps outperform thermal operations in the quantum regime.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Gibbs-preserving maps outperform thermal operations in the quantum regime

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.243043Z

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Observation 7aee4df6-7494-41b2-80d3-f079e4c11d51 · outbound

This paper cites Matrix majorization in large samples.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Matrix majorization in large samples

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.229134Z

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Observation 1a6f7898-c999-4236-b19c-f236b65f3f8f · outbound

This paper cites Relation between catalyst-assisted transformation and multiple-copy transfor- mation for bipartite pure states.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Relation between catalyst-assisted transformation and multiple-copy transfor- mation for bipartite pure states

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.216379Z

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Observation 3e714eae-c107-429a-9f74-d339a669ba9b · outbound

This paper cites Abstract Vergleichsstellens¨ atze for preordered semifields and semirings II.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Abstract Vergleichsstellens¨ atze for preordered semifields and semirings II

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T15:23:31.548354Z

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Unavailable: canonical work link unavailable.

Observation 627d1809-ddab-49ba-970f-0210c8ac6ed5 · outbound

This paper cites Abstract Vergleichsstellens¨ atze for preordered semifields and semirings I.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Abstract Vergleichsstellens¨ atze for preordered semifields and semirings I

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.202941Z

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Observation 4edbb54a-185c-49eb-8ea2-678a4fbb2f89 · outbound

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Maximal R\'enyi Relative Entropy for $\alpha>2$ Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:23:34.190193Z

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Observation d7c2401d-bad2-45d5-b4eb-ee8c949f9552 · outbound

This paper cites Quantum Noncommutativity Uniquely Determines Relative Entropy.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Quantum Noncommutativity Uniquely Determines Relative Entropy

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:23:32.740602Z

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Observation 769fe167-c7ac-45dc-9e5d-423e6ab8999c · outbound

This paper cites Optimal extensions of resource measures and their applications.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Optimal extensions of resource measures and their applications

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.177891Z

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Observation aee317ad-1c13-4abc-b008-c563f0822d69 · outbound

This paper cites Barycentric decompositions for extensive monotone divergences.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Barycentric decompositions for extensive monotone divergences

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T15:23:31.752257Z

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Unavailable: canonical work link unavailable.

Observation 23d0b6c7-addd-4c07-a09e-405c06d77fae · outbound

This paper cites Optimal sequence of quantum measurements in the sense of Stein’s lemma in quantum hypothesis testing.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Optimal sequence of quantum measurements in the sense of Stein’s lemma in quantum hypothesis testing

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:34.018073Z

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Observation 6a4a6409-b269-49a1-8abe-d3cf2fe786fa · outbound

This paper cites Correlation Detection and an Operational Interpretation of the R´ enyi Mutual Information.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Correlation Detection and an Operational Interpretation of the R´ enyi Mutual Information

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.980980Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2e0a2d38-4ee1-4cdd-8901-d388f5d6a924 · outbound

This paper cites Different quantum f-divergences and the reversibility of quantum operations.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Different quantum f-divergences and the reversibility of quantum operations

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.968707Z

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Observation 49ffbb7b-7def-4118-9f07-e197d26da2e8 · outbound

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

Maximal R\'enyi Relative Entropy for $\alpha>2$ The proper formula for relative entropy and its asymptotics in quantum probability

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.954912Z

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Observation eaea0cc1-1471-48ab-af72-acb49d70189a · outbound

This paper cites Fundamental Limitations for Quantum and Nanoscale Thermodynamics.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Fundamental Limitations for Quantum and Nanoscale Thermodynamics

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.936019Z

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Observation 41aad408-4016-413a-a82a-c2e5789a2d9e · outbound

This paper cites Thermodynamic Cost of Reliability and Low Tem- peratures: Tightening Landauer’s Principle and the Second Law.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Thermodynamic Cost of Reliability and Low Tem- peratures: Tightening Landauer’s Principle and the Second Law

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.911237Z

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Observation 511b1dd6-54a0-4d57-a87b-622bb2050faa · outbound

This paper cites Asymptotic Majorization of Finite Probability Distributions.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Asymptotic Majorization of Finite Probability Distributions

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.854265Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e0bbd40f-2149-4b32-bd05-8dd79087b8a5 · outbound

This paper cites Principles of Quantum Communication Theory: A Modern Approach.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Principles of Quantum Communication Theory: A Modern Approach

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T15:23:32.015145Z

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Unavailable: canonical work link unavailable.

Observation 88d23428-5a9b-42ae-b631-d745933c0e82 · outbound

This paper cites Means of positive linear operators.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Means of positive linear operators

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.674964Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0cde3650-987c-4d32-a436-f9970ed8a839 · outbound

This paper cites Reverse Test and Characterization of Quantum Relative Entropy.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Reverse Test and Characterization of Quantum Relative Entropy

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T15:23:32.024299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b2c99e7-5235-4571-8037-9aca105bb5ce · outbound

This paper cites A new quantum version of f-divergence.

Maximal R\'enyi Relative Entropy for $\alpha>2$ A new quantum version of f-divergence

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T15:23:32.029923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c3d21a6-9edc-401c-a381-bea81d773182 · outbound

This paper cites A new quantum version off-divergence.

Maximal R\'enyi Relative Entropy for $\alpha>2$ A new quantum version off-divergence

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.618917Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f9452d84-7ac4-4281-bade-efe9dbc7b6ce · outbound

This paper cites Geometric relative entropies and barycentric R´ enyi divergences.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Geometric relative entropies and barycentric R´ enyi divergences

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.602074Z

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Observation 5fee250a-43e8-4bc4-b2ef-1a0eaa9b9384 · outbound

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

Maximal R\'enyi Relative Entropy for $\alpha>2$ Quantum hypothesis testing and the operational interpretation of the quantum R´ enyi relative entropies

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.554035Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 26c71339-8ec6-417a-a2bf-3037ee627be7 · outbound

This paper cites From Blackwell dominance in large samples to R´ enyi divergences and back again.

Maximal R\'enyi Relative Entropy for $\alpha>2$ From Blackwell dominance in large samples to R´ enyi divergences and back again

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.451827Z

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Observation 276c745d-cbc4-4d29-814a-6c451760f3a5 · outbound

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

Maximal R\'enyi Relative Entropy for $\alpha>2$ On quantum R´ enyi entropies: A new generalization and some properties

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.388680Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f242f56b-df98-4b2a-a078-8d0ad8af18c1 · outbound

This paper cites Quasi-entropies for finite quantum systems.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Quasi-entropies for finite quantum systems

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.365772Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8bbdc416-c785-420a-adaa-f6688b9c9e64 · outbound

This paper cites Security of quantum key distribution.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Security of quantum key distribution

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.348649Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4d5ce02b-0809-405d-a796-7b0487a0e126 · outbound

This paper cites On Measures of Information and Entropy.

Maximal R\'enyi Relative Entropy for $\alpha>2$ On Measures of Information and Entropy

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.329687Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 62447419-a389-4613-9b03-00d56e1dcc20 · outbound

This paper cites Rubboli.Optimization and additivity of quantum relative entropies.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Rubboli.Optimization and additivity of quantum relative entropies

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.309929Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c9c67ecc-0991-4b07-b7d9-c4a5576d4650 · outbound

This paper cites Mixed-state additivity properties of magic monotones based on quantum relative entropies for single-qubit states and beyond.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Mixed-state additivity properties of magic monotones based on quantum relative entropies for single-qubit states and beyond

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-15T15:23:32.145742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19ba75fc-1834-4331-90bb-78021950e424 · outbound

This paper cites Tomamichel.Quantum information processing with finite resources: mathematical foundations.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Tomamichel.Quantum information processing with finite resources: mathematical foundations

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.279072Z

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Observation 4907dfb9-8e28-43b1-8070-d308dfca33cd · outbound

This paper cites Matrix Majorization in Large Samples With Varying Support Restrictions.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Matrix Majorization in Large Samples With Varying Support Restrictions

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.216893Z

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Observation 5780e59c-bea0-48a0-aaea-dcda254c3756 · outbound

This paper cites Resource theory of asymmetric distinguishability.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Resource theory of asymmetric distinguishability

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:33.155494Z

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Observation 0967f7a2-3d52-484a-bb9c-bdd66d6dfd38 · outbound

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

Maximal R\'enyi Relative Entropy for $\alpha>2$ Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched R´ enyi relative entropy

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:32.929567Z

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Observation 2432ab91-dad7-402f-9ccd-73166d44c742 · outbound

This paper cites From wigner-yanase-dyson conjecture to carlen-frank-lieb conjecture.

Maximal R\'enyi Relative Entropy for $\alpha>2$ From wigner-yanase-dyson conjecture to carlen-frank-lieb conjecture

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:32.914122Z

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Observation 8cdfb1f5-e2b6-4ac0-ab1c-c392ba9aa7cf · outbound

This paper cites an unresolved cited work.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:23:32.899869Z

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Observation 73d13a43-99d7-4c77-9410-947dbd17a631 · outbound

This paper cites an unresolved cited work.

Maximal R\'enyi Relative Entropy for $\alpha>2$ Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:23:32.886043Z

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Observation 4ed1f71c-be05-4bc6-aba4-e032ef184fb5 · outbound

This paper cites We prove the three statements in order.

Maximal R\'enyi Relative Entropy for $\alpha>2$ We prove the three statements in order

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:23:32.870041Z

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Pith citing papers

Observation bf22c277-03f5-4921-b036-5abbdcec6d47 · inbound