Paper Citation Record · LEDGER

Petz-R\'enyi relative entropy in QFT from modular theory

As of 19 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 4 inbound Pith citation observations for arXiv:2411.09696.

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

pith.paper-citation-record.v1
2411.09696 v3

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measured 48 of 48 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T20:34:48.226853Z

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

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Source: paper_references, paper_reference_links, observed 2026-08-16T12:31:40.152985Z

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Source: pith, observed 2026-07-10T17:47:25.673030Z

Reference resolution

48 of 48 outbound references displayed

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Outbound references

Observation 897ce3f5-cff4-404f-98d9-c6dca06ada6c · outbound

This paper cites Tomita,On canonical forms of von Neumann algebras (in Japanese), inFifth Functional Analysis Symposium, Tôhoku Univ., Sendai, (Sendai, Japan), pp.

Petz-R\'enyi relative entropy in QFT from modular theory Tomita,On canonical forms of von Neumann algebras (in Japanese), inFifth Functional Analysis Symposium, Tôhoku Univ., Sendai, (Sendai, Japan), pp

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.031298Z

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Observation a775989e-712e-4b76-a317-1ca03cd71b35 · outbound

This paper cites Takesaki,Tomita’s Theory of Modular Hilbert Algebras and its Applications, vol.

Petz-R\'enyi relative entropy in QFT from modular theory Takesaki,Tomita’s Theory of Modular Hilbert Algebras and its Applications, vol

Reference 2

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Observation 84514dce-593b-48d6-9039-0906843c2e1c · outbound

This paper cites Araki,Inequalities in von Neumann algebras, Rencontr.

Petz-R\'enyi relative entropy in QFT from modular theory Araki,Inequalities in von Neumann algebras, Rencontr

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.834622Z

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Observation fef65755-f969-40d3-82c1-257c234e1542 · outbound

This paper cites Araki,Relative Entropy of States of von Neumann Algebras, Publ.

Petz-R\'enyi relative entropy in QFT from modular theory Araki,Relative Entropy of States of von Neumann Algebras, Publ

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.822894Z

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Observation b2ed41c1-8602-45f8-9dd6-08391d70031f · outbound

This paper cites Uhlmann,Relative Entropy and the Wigner-Yanase-Dyson-Lieb Concavity in an Interpolation Theory, Commun.

Petz-R\'enyi relative entropy in QFT from modular theory Uhlmann,Relative Entropy and the Wigner-Yanase-Dyson-Lieb Concavity in an Interpolation Theory, Commun

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.809962Z

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Observation b775efdf-44fa-4089-bbb8-1dbd5ad16a32 · outbound

This paper cites Relative entropy for coherent states from Araki formula.

Petz-R\'enyi relative entropy in QFT from modular theory Relative entropy for coherent states from Araki formula

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.053177Z

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Observation a5d387f3-2df3-46f2-af5d-7b6df7632c9f · outbound

This paper cites Entropy of Coherent Excitations.

Petz-R\'enyi relative entropy in QFT from modular theory Entropy of Coherent Excitations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.058011Z

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Observation 5853bac2-8173-4b61-977d-d629c1ccb1d9 · outbound

This paper cites Relative Entropy in de Sitter is a Noether Charge.

Petz-R\'enyi relative entropy in QFT from modular theory Relative Entropy in de Sitter is a Noether Charge

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.063365Z

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Observation cec67fb0-d1b7-4179-b869-8ad2c16d850c · outbound

This paper cites Entropy-area law and temperature of de Sitter horizons from modular theory.

Petz-R\'enyi relative entropy in QFT from modular theory Entropy-area law and temperature of de Sitter horizons from modular theory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.067564Z

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Observation e3ec4158-639e-4954-9420-157188b6c053 · outbound

This paper cites Modular Hamiltonians on the null plane and the Markov property of the vacuum state.

Petz-R\'enyi relative entropy in QFT from modular theory Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 10

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Observation 31d53ee2-d9ef-4636-ba18-b1c15ff4733e · outbound

This paper cites News vs Information.

Petz-R\'enyi relative entropy in QFT from modular theory News vs Information

Reference 11

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Observation 5fb00ed2-df5e-4d68-a89a-6ef7649a3a73 · outbound

This paper cites Second law of thermodynamics for relativistic fluids formulated with relative entropy.

Petz-R\'enyi relative entropy in QFT from modular theory Second law of thermodynamics for relativistic fluids formulated with relative entropy

Reference 12

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Observation 3becb920-14a7-4ed3-8484-df9bd53d2f25 · outbound

This paper cites Entropy for spherically symmetric, dynamical black holes from the relative entropy between coherent states of a scalar quantum field.

Petz-R\'enyi relative entropy in QFT from modular theory Entropy for spherically symmetric, dynamical black holes from the relative entropy between coherent states of a scalar quantum field

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.085378Z

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Observation 0ae74a00-fd2b-47ad-b514-f8e55fdfe04b · outbound

This paper cites Modular operator for null plane algebras in free fields.

Petz-R\'enyi relative entropy in QFT from modular theory Modular operator for null plane algebras in free fields

Reference 14

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Observation b742e2e9-7a61-4f2f-98e0-5600621eeeb3 · outbound

This paper cites Lectures on entanglement in quantum field theory.

Petz-R\'enyi relative entropy in QFT from modular theory Lectures on entanglement in quantum field theory

Reference 15

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Observation d0f02719-dd42-468a-9dd6-afcfc5b5846e · outbound

This paper cites The entropic $g$-theorem in general spacetime dimension.

Petz-R\'enyi relative entropy in QFT from modular theory The entropic $g$-theorem in general spacetime dimension

Reference 16

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Observation d0d13581-f016-40c4-9f7d-c7abe2172e9a · outbound

This paper cites Relative Entropy and Mutual Information in Gaussian Statistical Field Theory.

Petz-R\'enyi relative entropy in QFT from modular theory Relative Entropy and Mutual Information in Gaussian Statistical Field Theory

Reference 17

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Observation c15167f3-5393-4393-b328-4165776b4e97 · outbound

This paper cites Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations.

Petz-R\'enyi relative entropy in QFT from modular theory Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.106477Z

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Observation f951ed36-c456-4721-a6c8-bcaf3f348606 · outbound

This paper cites Quantum information and the C-theorem in de Sitter.

Petz-R\'enyi relative entropy in QFT from modular theory Quantum information and the C-theorem in de Sitter

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.110867Z

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Observation d49e1446-2575-4fbd-b48f-f46ab1b1c254 · outbound

This paper cites An entropy bound due to symmetries.

Petz-R\'enyi relative entropy in QFT from modular theory An entropy bound due to symmetries

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.115048Z

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Observation 2ab50787-3cf9-48d2-9df7-65fcb5e21658 · outbound

This paper cites Notes on Some Entanglement Properties of Quantum Field Theory.

Petz-R\'enyi relative entropy in QFT from modular theory Notes on Some Entanglement Properties of Quantum Field Theory

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.119563Z

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Observation 0ea40831-0045-4374-b387-9728010488ca · outbound

This paper cites Hiai and D.

Petz-R\'enyi relative entropy in QFT from modular theory Hiai and D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.795955Z

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Observation 74a68b68-e2e9-49b3-a68c-bf6acba0c56b · outbound

This paper cites an unresolved cited work.

Petz-R\'enyi relative entropy in QFT from modular theory Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:34:48.781643Z

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Observation 6922cdba-2946-48be-9bc3-f15c4dfa38ef · outbound

This paper cites Petz,Quasi-entropies for States of a von Neumann Algebra, Publ.

Petz-R\'enyi relative entropy in QFT from modular theory Petz,Quasi-entropies for States of a von Neumann Algebra, Publ

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.767389Z

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Observation 0189effa-c6cb-4171-ad39-117ac27708ad · outbound

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

Petz-R\'enyi relative entropy in QFT from modular theory Petz,Quasi-entropies for finite quantum systems, Rept

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.753211Z

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Observation 629aa314-a90e-4ab6-ac42-54643ce67ee0 · outbound

This paper cites On quantum Renyi entropies: a new generalization and some properties.

Petz-R\'enyi relative entropy in QFT from modular theory On quantum Renyi entropies: a new generalization and some properties

Reference 26

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Observation 2297586f-7f48-4e69-b125-7ddbcd1b25c1 · outbound

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

Petz-R\'enyi relative entropy in QFT from modular theory Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Renyi relative entropy

Reference 27

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Observation 72000e84-a7ee-41d6-b237-1e639fb04b95 · outbound

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

Petz-R\'enyi relative entropy in QFT from modular theory R\'enyi relative entropies and noncommutative $L_p$-spaces

Reference 28

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Observation 6ea09382-d428-4964-8025-36e3b32b2649 · outbound

This paper cites R\'enyi divergences as weighted non-commutative vector valued $L_p$-spaces.

Petz-R\'enyi relative entropy in QFT from modular theory R\'enyi divergences as weighted non-commutative vector valued $L_p$-spaces

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.151585Z

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Observation 95709652-850a-4533-864b-8bea2801e5f1 · outbound

This paper cites Renyi relative entropies and renormalization group flows.

Petz-R\'enyi relative entropy in QFT from modular theory Renyi relative entropies and renormalization group flows

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:34:48.386860Z

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Observation f0577a6c-4505-4a92-a57e-a0de10d52aa0 · outbound

This paper cites Quantum $f$-divergences in von Neumann algebras II. Maximal $f$-divergences.

Petz-R\'enyi relative entropy in QFT from modular theory Quantum $f$-divergences in von Neumann algebras II. Maximal $f$-divergences

Reference 31

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Observation 10264d20-a5ba-44ca-ba0b-8cc7462f78f5 · outbound

This paper cites On $\alpha$-$z$-R\'{e}nyi divergence in the von Neumann algebra setting.

Petz-R\'enyi relative entropy in QFT from modular theory On $\alpha$-$z$-R\'{e}nyi divergence in the von Neumann algebra setting

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.163615Z

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Observation 6ca7b316-8237-4ee4-804f-525b25a0b8d6 · outbound

This paper cites Kadison and J.

Petz-R\'enyi relative entropy in QFT from modular theory Kadison and J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.738442Z

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Observation 95fed782-b730-44df-add1-393f8e9c5a55 · outbound

This paper cites Kay and R.M.

Petz-R\'enyi relative entropy in QFT from modular theory Kay and R.M

Reference 34

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Observation 6c9ab985-a720-4442-9a11-7366ed9e020a · outbound

This paper cites Bratteli and D.W.

Petz-R\'enyi relative entropy in QFT from modular theory Bratteli and D.W

Reference 35

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Observation 9be46500-c857-48f9-977e-2672d7d3b60c · outbound

This paper cites Figliolini and D.

Petz-R\'enyi relative entropy in QFT from modular theory Figliolini and D

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.713283Z

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Observation 832412db-9efe-4c39-b6b1-4e9de5596fcb · outbound

This paper cites Figliolini and D.

Petz-R\'enyi relative entropy in QFT from modular theory Figliolini and D

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.696197Z

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Observation e5a58009-eaa2-49ca-bab4-c94bd20e9cc2 · outbound

This paper cites Buchholz and S.J.

Petz-R\'enyi relative entropy in QFT from modular theory Buchholz and S.J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.679916Z

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Observation 4af0f765-3954-4f35-ba87-547fb8e19a13 · outbound

This paper cites Geometric Modular Action and Spacetime Symmetry Groups.

Petz-R\'enyi relative entropy in QFT from modular theory Geometric Modular Action and Spacetime Symmetry Groups

Reference 39

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Observation 0a8d1e3b-472b-4c50-938e-c718231c8fe5 · outbound

This paper cites The information in a wave.

Petz-R\'enyi relative entropy in QFT from modular theory The information in a wave

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.195503Z

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Observation 21264905-9e12-4f26-8a70-bbf7a281cf0a · outbound

This paper cites Relative entropy of coherent states on general CCR algebras.

Petz-R\'enyi relative entropy in QFT from modular theory Relative entropy of coherent states on general CCR algebras

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.199502Z

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Observation 8e262080-ffae-4bc0-b2a8-597072ad264f · outbound

This paper cites Bisognano and E.H.

Petz-R\'enyi relative entropy in QFT from modular theory Bisognano and E.H

Reference 42

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Observation bdba2ad6-c2dd-49ff-8e96-28c22d7230d1 · outbound

This paper cites Bisognano and E.H.

Petz-R\'enyi relative entropy in QFT from modular theory Bisognano and E.H

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.208053Z

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Observation d5bac09e-7546-4f4d-9bf6-df90f7facbfa · outbound

This paper cites Modular Groups of Quantum Fields in Thermal States.

Petz-R\'enyi relative entropy in QFT from modular theory Modular Groups of Quantum Fields in Thermal States

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.211647Z

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Observation 046836c7-361c-487d-82dd-1585a5518057 · outbound

This paper cites Schroer and T.

Petz-R\'enyi relative entropy in QFT from modular theory Schroer and T

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:34:48.648233Z

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Observation ff6d2f3a-8113-4d68-98e6-1dec3fbd5019 · outbound

This paper cites Modular energy inequalities from relative entropy.

Petz-R\'enyi relative entropy in QFT from modular theory Modular energy inequalities from relative entropy

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.219084Z

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Observation 49707216-ce3f-4102-847c-cc8751064d94 · outbound

This paper cites Bratteli and D.W.

Petz-R\'enyi relative entropy in QFT from modular theory Bratteli and D.W

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.223065Z

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Observation 51df8652-98c8-4f6e-8947-bd043fb2563f · outbound

This paper cites Relative Entropy of Fermion Excitation States on the CAR Algebra.

Petz-R\'enyi relative entropy in QFT from modular theory Relative Entropy of Fermion Excitation States on the CAR Algebra

Reference 48

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Pith citing papers

Observation 4d755da3-c13d-4bbd-a063-63436e33f4f5 · inbound

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory cites this paper.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Petz-R\'enyi relative entropy in QFT from modular theory

Reference 52

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Observation 09d13d56-196e-4058-9607-67e869614909 · inbound

Relative entropy of single-mode squeezed states in Quantum Field Theory cites this paper.

Relative entropy of single-mode squeezed states in Quantum Field Theory Petz-R\'enyi relative entropy in QFT from modular theory

Reference 50

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Observation 221789bf-6e64-4abf-aca1-97bd56e4390c · inbound

Bounding relative entropy for non-unitary excitations in quantum field theory cites this paper.

Bounding relative entropy for non-unitary excitations in quantum field theory Petz-R\'enyi relative entropy in QFT from modular theory

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-10T03:29:22.124073Z

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Observation 8538c51e-ec67-4a2d-a3a7-08e1728e0ecf · inbound

Relative entropy for $\lambda \phi^4$ in the Rindler wedge cites this paper.

Relative entropy for $\lambda \phi^4$ in the Rindler wedge Petz-R\'enyi relative entropy in QFT from modular theory

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-07-10T17:47:25.674321Z

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