Paper Citation Record · LEDGER

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory

As of 9 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2502.09796.

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pith.paper-citation-record.v1
2502.09796 v4

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Outbound references

Observation 434fb35e-04d3-4193-b3d8-207db8294270 · outbound

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A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work

Reference 1

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A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work

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This paper cites Conclusion 10 Acknowledgments 10 A.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Conclusion 10 Acknowledgments 10 A

Reference 3

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A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work

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Observation a87516bf-768c-4130-95bb-e3258c14f96b · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory

Reference 6

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Observation b74230be-ed42-4141-9107-d56c0217e4ae · outbound

This paper cites For the profile of the test function f2, we choose f2(t, x)= ⎧⎪⎪⎨⎪⎪⎩ e− 1 x2 −t2 e − 1 a2 −(x−b)2 −t2 e−(x−b)2 , (x− b)2+ t2 ≤ a2, 0, elsewhere.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory For the profile of the test function f2, we choose f2(t, x)= ⎧⎪⎪⎨⎪⎪⎩ e− 1 x2 −t2 e − 1 a2 −(x−b)2 −t2 e−(x−b)2 , (x− b)2+ t2 ≤ a2, 0, elsewhere

Reference 7

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A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work

Reference 8

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Observation 439d0c42-ed49-4a29-8bc7-f6fe2a616fbc · outbound

This paper cites It is defined as f4(t, x)= ⎧⎪⎪⎨⎪⎪⎩ e− 1 x2 −t2 e − 1 ((x2 −t2 )−β2 )((β+d)2 −(x2 −t2 )) e−(x−b)2 e−t2 , (β+ d)2 ≥ x2− t2 ≥ β2 , x ≥ ∣t∣ , 0, elsewhere.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory It is defined as f4(t, x)= ⎧⎪⎪⎨⎪⎪⎩ e− 1 x2 −t2 e − 1 ((x2 −t2 )−β2 )((β+d)2 −(x2 −t2 )) e−(x−b)2 e−t2 , (β+ d)2 ≥ x2− t2 ≥ β2 , x ≥ ∣t∣ , 0, elsewhere

Reference 9

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Observation 4ce1bc54-4093-428f-9df0-777ba4e277ed · outbound

This paper cites The field operators satisfy the canonical commutation relations: [ak, a† q]= 2π 2ωk δ(k− q), (A2) [ak, aq]= [a† k, a† q]= 0.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory The field operators satisfy the canonical commutation relations: [ak, a† q]= 2π 2ωk δ(k− q), (A2) [ak, aq]= [a† k, a† q]= 0

Reference 10

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Observation 08cf4da4-22ca-4b97-917d-e6bb8d68a3fe · outbound

This paper cites These are defined as: ∆P J(f, g)= ∫ d2xd2yf(x)∆P J(x− y)g(y) , H(f, g)= ∫ d2xd2yf(x)H(x− y)g(y).

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory These are defined as: ∆P J(f, g)= ∫ d2xd2yf(x)∆P J(x− y)g(y) , H(f, g)= ∫ d2xd2yf(x)H(x− y)g(y)

Reference 11

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Observation 8ec52a2c-8b4d-49b2-b7a8-ae3e2969abde · outbound

This paper cites In particular, the Pauli-Jordan distri- bution, ∆ P J(x), plays a fundamental role in encoding relativistic causality, as it vanishes outside the light cone.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory In particular, the Pauli-Jordan distri- bution, ∆ P J(x), plays a fundamental role in encoding relativistic causality, as it vanishes outside the light cone

Reference 12

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Observation 3eaac08c-c1fa-4654-88de-9d9a75505476 · outbound

This paper cites Entanglement entropy: holography and renormalization group.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement entropy: holography and renormalization group

Reference 13

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Observation b023fe99-5c31-4940-a67d-92b348627f76 · outbound

This paper cites Geometric and Renormalized Entropy in Conformal Field Theory.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Geometric and Renormalized Entropy in Conformal Field Theory

Reference 14

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Observation 0042a03c-0c0e-4ba4-af1c-109e956dbdee · outbound

This paper cites Entanglement Entropy and Quantum Field Theory.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement Entropy and Quantum Field Theory

Reference 15

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Observation 6d7de560-5e79-4e2d-9d1b-140a6bebc468 · outbound

This paper cites Entanglement entropy and conformal field theory.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement entropy and conformal field theory

Reference 16

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Observation 1a8b9ebc-653f-42e9-9200-a985b0b4bd43 · outbound

This paper cites Lectures on entanglement in quantum field theory.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Lectures on entanglement in quantum field theory

Reference 17

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This paper cites Dynamics of entanglement in expanding quantum fields.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Dynamics of entanglement in expanding quantum fields

Reference 18

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Observation 5c7750d4-4f6f-4d15-83d1-4670a129cf78 · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative Entropy and Mutual Information in Gaussian Statistical Field Theory

Reference 19

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Observation 9a7f784b-863f-4599-880c-962d3c4b7c16 · outbound

This paper cites Entanglement of Harmonic Systems in Squeezed States.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement of Harmonic Systems in Squeezed States

Reference 20

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Observation 7ab81136-7452-4ad7-9635-620e58ab7e57 · outbound

This paper cites State-Dependent Divergences in the Entanglement Entropy.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory State-Dependent Divergences in the Entanglement Entropy

Reference 21

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Observation d855f972-3a0c-421a-959a-9e50460fcae8 · outbound

This paper cites Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity

Reference 22

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Observation 8e06a13c-0a1d-4fad-a82f-12ad34400285 · outbound

This paper cites Hiai and D.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Hiai and D

Reference 23

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Observation 4bb38e91-0d2c-406e-b203-0419f55a861c · outbound

This paper cites Relative entropy for coherent states in chiral CFT.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy for coherent states in chiral CFT

Reference 24

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entropy for spherically symmetric, dynamical black holes from the relative entropy between coherent states of a scalar quantum field

Reference 25

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This paper cites Relative entropy and curved spacetimes.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy and curved spacetimes

Reference 26

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Observation 6db9b00f-5484-46f1-8776-6a99e3206569 · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative Entropy of Fermion Excitation States on the CAR Algebra

Reference 27

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This paper cites Relative entropy of an interval for a massless boson at finite temperature.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy of an interval for a massless boson at finite temperature

Reference 28

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Observation 96cb3b79-6c01-4331-94bb-e11e2867e231 · outbound

This paper cites Thermodynamics from relative entropy.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Thermodynamics from relative entropy

Reference 29

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Observation 53ae285e-660d-411d-b6a7-0f1100ab1844 · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Second law of thermodynamics for relativistic fluids formulated with relative entropy

Reference 30

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This paper cites The Gravity Duals of Modular Hamiltonians.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory The Gravity Duals of Modular Hamiltonians

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This paper cites Relative entropy equals bulk relative entropy.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy equals bulk relative entropy

Reference 32

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Observation 7fbd9d91-d2eb-4542-a0bb-092c85768a34 · outbound

This paper cites Spacetime Fluctuations in AdS/CFT.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Spacetime Fluctuations in AdS/CFT

Reference 33

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Observation cfa083b5-8996-4d42-a054-1191159f9b0a · outbound

This paper cites Gravity Dual of Connes Cocycle Flow.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Gravity Dual of Connes Cocycle Flow

Reference 34

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Observation 153284f9-26a3-4d40-a3ee-a3e99a99d261 · outbound

This paper cites Tomita, Fifth Functional Analysis Sympos (Tˆ ohoku Univ., Sendai, 1967), Math.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Tomita, Fifth Functional Analysis Sympos (Tˆ ohoku Univ., Sendai, 1967), Math

Reference 35

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Observation 84779360-0d81-42d0-aeed-3d49dbefa512 · outbound

This paper cites Takesaki, Tomita’s Theory of Modular Hilbert Algebras and its Applications , Lecture Notes in Mathematics (Springer- Verlag, 1970).

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Takesaki, Tomita’s Theory of Modular Hilbert Algebras and its Applications , Lecture Notes in Mathematics (Springer- Verlag, 1970)

Reference 36

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Observation 098a13fa-b336-4157-87b1-df6f789cbb67 · outbound

This paper cites Araki, Publ.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Araki, Publ

Reference 37

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Observation 2dd7d9c9-9a75-4064-abc9-6c2e9209c42b · outbound

This paper cites Uhlmann, Commun.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Uhlmann, Commun

Reference 38

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Observation 15d0c92f-3ea2-48b6-ba19-206d5f82b505 · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Notes on Some Entanglement Properties of Quantum Field Theory

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Observation 005b7764-0cbc-4dc1-be13-fe430f60a1a1 · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Modular Hamiltonians on the null plane and the Markov property of the vacuum state

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Observation bf97acff-a4e4-4f92-8d2a-ae196ce5326c · outbound

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A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory News vs Information

Reference 41

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Observation df136323-4aca-4118-ae32-297d699fa6eb · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy for coherent states from Araki formula

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Observation 6b9b35f3-e40e-4569-9de6-b115d4d335fb · outbound

This paper cites Entropy of Coherent Excitations.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entropy of Coherent Excitations

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Modular operator for null plane algebras in free fields

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Observation 502c3740-5b15-4e83-9571-f303318d595e · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory The entropic $g$-theorem in general spacetime dimension

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Observation 8f3e6c25-34a9-4f09-a57f-8ec75ff835ed · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entropy-area law and temperature of de Sitter horizons from modular theory

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Observation cfb24aca-1b17-475e-b9a5-2946f258c017 · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative Entropy in de Sitter is a Noether Charge

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Observation 88e51f7d-3349-473c-ba78-a01fa91fc167 · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations

Reference 48

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Observation ff775c77-fe29-40e2-86e7-16fe5aa0eda5 · outbound

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Quantum information and the C-theorem in de Sitter

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Observation 88c5dddd-026f-4f95-8c12-039018a38ef6 · outbound

This paper cites An entropy bound due to symmetries.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory An entropy bound due to symmetries

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Observation 627e8f87-88cc-4d3a-867d-33436d493bd7 · outbound

This paper cites The information in a wave.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory The information in a wave

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

This paper cites Petz-R\'enyi relative entropy in QFT from modular theory.

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 47a443e8-7077-46a5-ba33-e3c869ab270e · outbound

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A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work

Reference 53

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Observation 8ceb23b2-1afb-48f2-a453-3650ff9420c7 · outbound

This paper cites Investigation of the Bell-CHSH inequality in diamond regions.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Investigation of the Bell-CHSH inequality in diamond regions

Reference 54

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Observation e04f8a47-78e0-4996-8796-79821e1259b3 · outbound

This paper cites Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators

Reference 55

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Observation ee345ded-32fa-48f4-adc0-c257951c2f99 · outbound

This paper cites Coleman, Physical Review D 11, 2088 (1975).

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Coleman, Physical Review D 11, 2088 (1975)

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:33:55.744672Z

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Observation ce7c6e83-5643-4470-89fc-9791df41df8a · outbound

This paper cites Thermal bosonisation in the sine-Gordon and massive Thirring models.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Thermal bosonisation in the sine-Gordon and massive Thirring models

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:33:55.414014Z

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Observation e26ecc15-34ee-480e-a580-252d1b86502c · outbound

This paper cites Haag, Local quantum physics: Fields, particles, algebras (1992).

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Haag, Local quantum physics: Fields, particles, algebras (1992)

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:33:55.735911Z

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Pith citing papers

Observation a87516bf-768c-4130-95bb-e3258c14f96b · inbound