Paper Citation Record · LEDGER

Correlation and Entanglement partners in Gaussian systems

As of 20 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 5 inbound Pith citation observations for arXiv:2512.11055.

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

pith.paper-citation-record.v1
2512.11055 v2

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measured 59 of 59 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T17:14:22.877793Z

measured 64 of 64 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:12:55.682052Z

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Source: arxiv_reference, observed 2026-07-03T13:08:07.943804Z

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Outbound references

Observation c2ff8cc0-511e-4203-9687-f8d0746d776b · outbound

This paper cites system-local.

Correlation and Entanglement partners in Gaussian systems system-local

Reference 1

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Observation eef7417b-61c3-476c-8ece-77ed884228bb · outbound

This paper cites classical-like.

Correlation and Entanglement partners in Gaussian systems classical-like

Reference 2

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Observation e0610cad-03c3-48b6-92d6-be5aeebe8727 · outbound

This paper cites Properties 1 and 3 indicate thatσdefines an inner product on Γ, which implies that any quantum state de- fines a metric in the classical phase space.

Correlation and Entanglement partners in Gaussian systems Properties 1 and 3 indicate thatσdefines an inner product on Γ, which implies that any quantum state de- fines a metric in the classical phase space

Reference 3

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Observation a16486b7-abed-4214-84a1-7022d3540085 · outbound

This paper cites an unresolved cited work.

Correlation and Entanglement partners in Gaussian systems Unresolved cited work

Reference 4

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Observation 349b49c5-a68d-417f-8e2e-43ba89f8896d · outbound

This paper cites symplectic eigenvalues of σ.

Correlation and Entanglement partners in Gaussian systems symplectic eigenvalues of σ

Reference 5

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Observation 88a21fb1-1230-4233-99ae-61fabd4d5295 · outbound

This paper cites normal” or “Williamson.

Correlation and Entanglement partners in Gaussian systems normal” or “Williamson

Reference 6

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Observation dea5080f-b79e-480a-9d68-1cd97f6cc4c6 · outbound

This paper cites A basis of the partner mode ofAis made of (1− Πa)J γa and its conjugate.

Correlation and Entanglement partners in Gaussian systems A basis of the partner mode ofAis made of (1− Πa)J γa and its conjugate

Reference 7

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Observation 3a6db6d4-0e9e-44c5-bb1b-a9b3d4667fe5 · outbound

This paper cites That is,A cp contains all degrees of freedom in the system that are correlated with those inA.

Correlation and Entanglement partners in Gaussian systems That is,A cp contains all degrees of freedom in the system that are correlated with those inA

Reference 8

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Observation 0ec030d5-0393-4f5e-b40e-b636340ba248 · outbound

This paper cites This holds becauseJleaves invariant both Π + I Γa and Π − I Γa, for allI, as Π ± I project onto eigenspaces ofJ.

Correlation and Entanglement partners in Gaussian systems This holds becauseJleaves invariant both Π + I Γa and Π − I Γa, for allI, as Π ± I project onto eigenspaces ofJ

Reference 9

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Observation 277a5ac8-3335-484d-b347-118f12cf25fa · outbound

This paper cites For mixed ˆρ, this is no longer true, and in order to find the entanglement partner, it is insufficient to just look atJ(or, equivalently,σ).

Correlation and Entanglement partners in Gaussian systems For mixed ˆρ, this is no longer true, and in order to find the entanglement partner, it is insufficient to just look atJ(or, equivalently,σ)

Reference 10

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Observation f62aa1d0-f461-4128-8b3f-0d22f71a5445 · outbound

This paper cites This would contradict the fact that⟨·,(−I−iJ Ta )·⟩is positive semi-definite on the symplectic orthogonal complement of Γ 1.

Correlation and Entanglement partners in Gaussian systems This would contradict the fact that⟨·,(−I−iJ Ta )·⟩is positive semi-definite on the symplectic orthogonal complement of Γ 1

Reference 11

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Observation 11f3cc85-d23b-4c80-ba36-8c6dd54aae72 · outbound

This paper cites How ubiquitous is entanglement in quantum field theory?.

Correlation and Entanglement partners in Gaussian systems How ubiquitous is entanglement in quantum field theory?

Reference 12

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Observation 5b94162b-607b-4e25-b746-7c3620120a0b · outbound

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Correlation and Entanglement partners in Gaussian systems Unresolved cited work

Reference 13

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Observation 58fadc85-fbda-4fb6-9a53-5e1c85c15ded · outbound

This paper cites 14 2.σ(γ ∗, γ)+⟨γ, γ⟩is equal to 2 Tr[ˆρˆOγ ˆO † γ].

Correlation and Entanglement partners in Gaussian systems 14 2.σ(γ ∗, γ)+⟨γ, γ⟩is equal to 2 Tr[ˆρˆOγ ˆO † γ]

Reference 14

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Observation 65a73900-f78f-4a81-a8a7-62f74d2d5076 · outbound

This paper cites Let us define the sesquilinear map (·,·) in Γ C as (γ, γ′)≡σ(γ ∗, γ′).

Correlation and Entanglement partners in Gaussian systems Let us define the sesquilinear map (·,·) in Γ C as (γ, γ′)≡σ(γ ∗, γ′)

Reference 15

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Observation 287b6f30-f10c-4226-b2d3-b966d50f3791 · outbound

This paper cites This is equivalent toσ ab =−ℏ −1ΩacJ c b or, equivalently, σ(·,·) =−ℏ −1Ω(·, J·).

Correlation and Entanglement partners in Gaussian systems This is equivalent toσ ab =−ℏ −1ΩacJ c b or, equivalently, σ(·,·) =−ℏ −1Ω(·, J·)

Reference 16

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Observation c8dc97a9-f020-4533-a3df-fd3e90d1f309 · outbound

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Correlation and Entanglement partners in Gaussian systems Unresolved cited work

Reference 17

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Observation 4ad101d0-73d8-4c74-ad89-ae35562f54eb · outbound

This paper cites Therefore, it suffices to show thatJis anti-Hermitian with respect to a suitable Hermitian inner product on Γ C.

Correlation and Entanglement partners in Gaussian systems Therefore, it suffices to show thatJis anti-Hermitian with respect to a suitable Hermitian inner product on Γ C

Reference 18

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Observation bb2af8c4-dd14-4a1f-9202-117127219ef7 · outbound

This paper cites We denote bye I (without complex conjugate) the eigenvector ofJwith eigenvalue +iν I , withν I a non-negative real number.

Correlation and Entanglement partners in Gaussian systems We denote bye I (without complex conjugate) the eigenvector ofJwith eigenvalue +iν I , withν I a non-negative real number

Reference 19

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Observation b0754516-41a1-4b79-9184-0214aaa2e835 · outbound

This paper cites For a single-mode subsystemA,J Ta has at most one symplec- tic eigenvalue smaller than one,.

Correlation and Entanglement partners in Gaussian systems For a single-mode subsystemA,J Ta has at most one symplec- tic eigenvalue smaller than one,

Reference 20

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Observation 25ddd3b4-ef03-49b3-ab9b-6b57e4b6e834 · outbound

This paper cites partners.

Correlation and Entanglement partners in Gaussian systems partners

Reference 21

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Correlation and Entanglement partners in Gaussian systems Unresolved cited work

Reference 22

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Observation 330995b2-0ee8-4141-9389-d5989e1e13d1 · outbound

This paper cites Weedbrook, S.

Correlation and Entanglement partners in Gaussian systems Weedbrook, S

Reference 23

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Observation 9e04ec0c-2ee2-4d6f-8d2e-1a9d1a154fc6 · outbound

This paper cites Serafini,Quantum Continuous Variables(CRC Press, 2017).

Correlation and Entanglement partners in Gaussian systems Serafini,Quantum Continuous Variables(CRC Press, 2017)

Reference 24

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Observation 3a33ec79-fcd6-4b3c-b8f1-88cdd0b1530a · outbound

This paper cites Adesso, S.

Correlation and Entanglement partners in Gaussian systems Adesso, S

Reference 25

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Observation adb49f4b-1efa-4b32-abf7-9db4fc7ab9d0 · outbound

This paper cites Hotta, R.

Correlation and Entanglement partners in Gaussian systems Hotta, R

Reference 26

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Observation 2cca7f35-c694-4e49-b972-ec9b15bf7254 · outbound

This paper cites Trevison, K.

Correlation and Entanglement partners in Gaussian systems Trevison, K

Reference 27

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Observation 0f18c75e-5612-47cc-aa47-205a3aa88314 · outbound

This paper cites Tomitsuka, K.

Correlation and Entanglement partners in Gaussian systems Tomitsuka, K

Reference 28

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Observation e2e3e41b-b5d3-4eac-aadb-63b238a8a8f5 · outbound

This paper cites Nambu and K.

Correlation and Entanglement partners in Gaussian systems Nambu and K

Reference 29

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Correlation and Entanglement partners in Gaussian systems Unresolved cited work

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Observation 8a0317f5-4c0b-4852-b4f5-239ba41bbc1d · outbound

This paper cites Osawa, K.-N.

Correlation and Entanglement partners in Gaussian systems Osawa, K.-N

Reference 31

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Correlation and Entanglement partners in Gaussian systems Unresolved cited work

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Observation f77b420e-2ed2-4c66-8277-aa1dd2530e5d · outbound

This paper cites Inflation does not create entanglement in local observables.

Correlation and Entanglement partners in Gaussian systems Inflation does not create entanglement in local observables

Reference 33

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Observation 433d6bf2-c8ec-4756-b270-bae083b661d8 · outbound

This paper cites Ribes-Metidieri, I.

Correlation and Entanglement partners in Gaussian systems Ribes-Metidieri, I

Reference 34

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Observation 3581d8fd-1889-4806-acec-68c383e53880 · outbound

This paper cites Trevison, K.

Correlation and Entanglement partners in Gaussian systems Trevison, K

Reference 35

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Observation 296963fd-eaef-4d5f-9ddb-f44a25efc14b · outbound

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Correlation and Entanglement partners in Gaussian systems Hackl and R

Reference 36

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Observation be1d58cf-6d92-4904-b1a3-7c2d43707025 · outbound

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Correlation and Entanglement partners in Gaussian systems Osawa, Y

Reference 37

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Observation d3b446c8-f03a-4c43-bf15-daf6d8de9516 · outbound

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Correlation and Entanglement partners in Gaussian systems Hackl and E

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Observation 4a91b6e8-efe0-4228-b2e0-b331c685d791 · outbound

This paper cites Entanglement dualities in supersymmetry.

Correlation and Entanglement partners in Gaussian systems Entanglement dualities in supersymmetry

Reference 39

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Observation 72911ce5-bbb1-4f26-ae0c-394bf5d45ed7 · outbound

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Correlation and Entanglement partners in Gaussian systems Yamaguchi and M

Reference 40

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Observation 65a0274a-141f-4f4a-80ed-04a3d1debf5d · outbound

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Correlation and Entanglement partners in Gaussian systems Yamaguchi, A

Reference 41

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Observation 1fcac42d-3372-4631-83cd-5b684a606aea · outbound

This paper cites Yamaguchi,Quantum Information Capsule and Its Applications to Communication Through Quantum Fields, Ph.D.

Correlation and Entanglement partners in Gaussian systems Yamaguchi,Quantum Information Capsule and Its Applications to Communication Through Quantum Fields, Ph.D

Reference 42

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Observation e86ab82e-f4e7-49d4-8b88-e4cae7c8b182 · outbound

This paper cites The multimode nature of spacetime entanglement in QFT.

Correlation and Entanglement partners in Gaussian systems The multimode nature of spacetime entanglement in QFT

Reference 43

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Observation 299c28c6-7d03-4b26-bfc5-984183a5b694 · outbound

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Correlation and Entanglement partners in Gaussian systems Klco and M

Reference 44

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Observation ebf1d283-aaf4-4ae4-802c-0e2ca1946bb5 · outbound

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Correlation and Entanglement partners in Gaussian systems Klco and M

Reference 45

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Observation 3617fae9-a94b-4d38-8bc4-84a354f436d4 · outbound

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Correlation and Entanglement partners in Gaussian systems Unresolved cited work

Reference 46

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Observation ca31de23-625c-4ca6-83dc-245f8b568d86 · outbound

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Correlation and Entanglement partners in Gaussian systems Gao and N

Reference 47

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Observation b1fb3acb-bb7b-499a-a781-a2b8230477e5 · outbound

This paper cites Algebraic Quantum Field Theory -- an introduction.

Correlation and Entanglement partners in Gaussian systems Algebraic Quantum Field Theory -- an introduction

Reference 48

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Observation 38e2bbf7-8afb-4ff6-b34e-bd1213774b7f · outbound

This paper cites Serafini,Quantum Continuous Variables: A Primer of Theoretical Methods(CRC Press, Taylor & Francis Group, 2017).

Correlation and Entanglement partners in Gaussian systems Serafini,Quantum Continuous Variables: A Primer of Theoretical Methods(CRC Press, Taylor & Francis Group, 2017)

Reference 49

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Observation 69040e71-041c-47bc-a222-66e37905b696 · outbound

This paper cites Quantum Mechanics in Phase Space: An introduction.

Correlation and Entanglement partners in Gaussian systems Quantum Mechanics in Phase Space: An introduction

Reference 50

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Observation c334f859-66fd-4ae2-8467-7bdbb69ed7e2 · outbound

This paper cites Entanglement of Gaussian states.

Correlation and Entanglement partners in Gaussian systems Entanglement of Gaussian states

Reference 51

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Observation 6244a11d-1820-4201-9365-8307862c7b89 · outbound

This paper cites Pedagogical introduction to the entropy of entanglement for Gaussian states.

Correlation and Entanglement partners in Gaussian systems Pedagogical introduction to the entropy of entanglement for Gaussian states

Reference 52

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Observation 3d2100c8-0687-4b7c-9d4c-e88976110755 · outbound

This paper cites Ashtekar and A.

Correlation and Entanglement partners in Gaussian systems Ashtekar and A

Reference 53

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Observation 3a60f680-bc52-4321-a242-d766e76fc754 · outbound

This paper cites Serafini, G.

Correlation and Entanglement partners in Gaussian systems Serafini, G

Reference 54

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Observation ed400aa2-63ec-4fa2-862c-1d57c3471bbd · outbound

This paper cites Simon, Peres-Horodecki Separability Criterion for Continuous Variable Systems, Phys.

Correlation and Entanglement partners in Gaussian systems Simon, Peres-Horodecki Separability Criterion for Continuous Variable Systems, Phys

Reference 55

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Observation 566950d3-8405-4cf2-8fde-4c4df65da823 · outbound

This paper cites Vidal and R.

Correlation and Entanglement partners in Gaussian systems Vidal and R

Reference 56

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Observation 8d534615-a57e-438e-a8a1-4b79566a6e14 · outbound

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Correlation and Entanglement partners in Gaussian systems Unresolved cited work

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Observation d645983c-9432-4368-bdcc-7446ec9cf654 · outbound

This paper cites Audenaert, M.

Correlation and Entanglement partners in Gaussian systems Audenaert, M

Reference 58

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Observation 68abac08-26cb-445c-b9fc-d75fec8b302d · outbound

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Correlation and Entanglement partners in Gaussian systems Unresolved cited work

Reference 59

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Pith citing papers

Observation e1a8c068-5438-4d3a-8a03-562eb18c94ba · inbound

Partner-mode overlap as a symplectic-invariant measure of correlations in Gaussian quantum field theories cites this paper.

Partner-mode overlap as a symplectic-invariant measure of correlations in Gaussian quantum field theories Correlation and Entanglement partners in Gaussian systems

Reference 1

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Observation e37a6a98-bc24-4d13-af79-e78787f7fb87 · inbound

When inflationary perturbations refuse to classicalise: the role of non-Gaussianity in Wigner negativity cites this paper.

When inflationary perturbations refuse to classicalise: the role of non-Gaussianity in Wigner negativity Correlation and Entanglement partners in Gaussian systems

Reference 63

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Unavailable: canonical work link unavailable.

Observation 5a5a78b3-b387-4126-9b65-872d485267d5 · inbound

The negativity core of a 1+1D massless scalar quantum field cites this paper.

The negativity core of a 1+1D massless scalar quantum field Correlation and Entanglement partners in Gaussian systems

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-07-20T01:18:23.823231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b05ebbc1-e864-49dd-960e-98dd1316a793 · inbound

Quantum Stochastic Inflation cites this paper.

Quantum Stochastic Inflation Correlation and Entanglement partners in Gaussian systems

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-20T01:18:23.823231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e2e4d4e0-abd1-4b29-b5b1-6705b39ae122 · inbound

Exact calculation of entanglement negativity for a 1+1D massless scalar field using phase space methods cites this paper.

Exact calculation of entanglement negativity for a 1+1D massless scalar field using phase space methods Correlation and Entanglement partners in Gaussian systems

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-20T01:18:23.823231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.