Paper Citation Record · LEDGER

Mixed States Uniquely Determined by Marginals and Additivity

As of 20 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2512.20133.

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pith.paper-citation-record.v1
2512.20133 v3

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measured 41 of 41 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T14:39:19.635264Z

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Outbound references

Observation 2c4606b4-5d6f-4ae0-abee-36654e24b133 · outbound

This paper cites an unresolved cited work.

Mixed States Uniquely Determined by Marginals and Additivity Unresolved cited work

Reference 1

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Observation f63e7c46-bc14-4281-a60c-5b71da946336 · outbound

This paper cites Up to local unitaries, we assume thata 1 ≥a 2 >0 and b1 ≥b 2 >0.

Mixed States Uniquely Determined by Marginals and Additivity Up to local unitaries, we assume thata 1 ≥a 2 >0 and b1 ≥b 2 >0

Reference 2

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Observation e9fc9f76-404c-4a8f-8aed-05804d20691e · outbound

This paper cites Second, the range ofρ A3A4 is given as in (11).

Mixed States Uniquely Determined by Marginals and Additivity Second, the range ofρ A3A4 is given as in (11)

Reference 3

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Observation d8d17199-ea96-47ff-8321-fc2fd073a11a · outbound

This paper cites Since rank(ρA3A4 ) = 2, there is a unitaryVsuch thatHis congruent to ϵ1ρA3A4 BV V †B† I2 ⊕0 2.

Mixed States Uniquely Determined by Marginals and Additivity Since rank(ρA3A4 ) = 2, there is a unitaryVsuch thatHis congruent to ϵ1ρA3A4 BV V †B† I2 ⊕0 2

Reference 4

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Observation 70269d6c-c76f-4e6a-b083-0040344312c5 · outbound

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Mixed States Uniquely Determined by Marginals and Additivity Unresolved cited work

Reference 5

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Observation d10c2477-eaef-41ac-aa8a-31811da8dd14 · outbound

This paper cites Measurement device-independent quantum state discrimination.Physica A: Statistical Mechanics and its Applications, 649:129985, 2024.

Mixed States Uniquely Determined by Marginals and Additivity Measurement device-independent quantum state discrimination.Physica A: Statistical Mechanics and its Applications, 649:129985, 2024

Reference 6

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Observation e0a3c230-ff67-46c3-a75f-f48d59760ab8 · outbound

This paper cites Quantum marginal problem and representations of the symmetric group.

Mixed States Uniquely Determined by Marginals and Additivity Quantum marginal problem and representations of the symmetric group

Reference 7

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Observation ac57aef1-becd-4a9d-89d6-918c5c3a5cd7 · outbound

This paper cites Bisio, G.

Mixed States Uniquely Determined by Marginals and Additivity Bisio, G

Reference 8

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Observation f39804f9-d9c9-42b7-91d5-8cdaf469b6c8 · outbound

This paper cites We show that it is also hold for ak+ 1-partite stateλ=⊗ k+1 i=1 ρAi.

Mixed States Uniquely Determined by Marginals and Additivity We show that it is also hold for ak+ 1-partite stateλ=⊗ k+1 i=1 ρAi

Reference 9

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Observation d0a3cfba-dbd8-4f04-897c-16c2a9298b66 · outbound

This paper cites Quantum process tomography with digital twins of error matrices.Phys.

Mixed States Uniquely Determined by Marginals and Additivity Quantum process tomography with digital twins of error matrices.Phys

Reference 10

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Observation eed65768-c1fe-4a9c-8e03-355cb53c3fb3 · outbound

This paper cites Sanders, and David L.

Mixed States Uniquely Determined by Marginals and Additivity Sanders, and David L

Reference 11

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Observation 8cf21e66-b161-48e2-808c-eaaca6485627 · outbound

This paper cites Wakin, and Zhihui Zhu.

Mixed States Uniquely Determined by Marginals and Additivity Wakin, and Zhihui Zhu

Reference 12

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Observation 0bf45392-e9a3-4f0d-a1b6-4414a5e58ca8 · outbound

This paper cites ifq k >0, then rank(ρ A2A3 ) = 2 implies that|D|= 0, andρis 2-UDA by Proposition 13 (ii).

Mixed States Uniquely Determined by Marginals and Additivity ifq k >0, then rank(ρ A2A3 ) = 2 implies that|D|= 0, andρis 2-UDA by Proposition 13 (ii)

Reference 13

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Observation e6510cc9-ac8a-40e7-91de-a0a8810779c1 · outbound

This paper cites Plenio, Steven T.

Mixed States Uniquely Determined by Marginals and Additivity Plenio, Steven T

Reference 14

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Observation e55e3c60-c477-41b6-b30a-7ecb22dad3d7 · outbound

This paper cites Experimental sample-efficient quantum state tomography via parallel measurements.Phys.

Mixed States Uniquely Determined by Marginals and Additivity Experimental sample-efficient quantum state tomography via parallel measurements.Phys

Reference 15

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Observation 8be7f2d1-12b1-400b-92b9-1c7ff9ea9306 · outbound

This paper cites Johnson, Francesco Ticozzi, and Lorenza Viola.

Mixed States Uniquely Determined by Marginals and Additivity Johnson, Francesco Ticozzi, and Lorenza Viola

Reference 16

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Observation 8367d903-bf65-458b-a74b-62ea3bb374b9 · outbound

This paper cites Linden, S.

Mixed States Uniquely Determined by Marginals and Additivity Linden, S

Reference 17

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Observation fb04b1f2-d2ed-4092-8d0a-7f824dfdf907 · outbound

This paper cites Walck and David W.

Mixed States Uniquely Determined by Marginals and Additivity Walck and David W

Reference 18

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Observation b6d910be-78b1-489b-be13-383573ffed40 · outbound

This paper cites Quantum state tomography via reduced density matrices.Phys.

Mixed States Uniquely Determined by Marginals and Additivity Quantum state tomography via reduced density matrices.Phys

Reference 19

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Observation cdc248e1-c697-41e7-afc3-05cc8c4ddece · outbound

This paper cites Optimal reducibility of allwstates equivalent under stochastic local operations and classical communication.Phys.

Mixed States Uniquely Determined by Marginals and Additivity Optimal reducibility of allwstates equivalent under stochastic local operations and classical communication.Phys

Reference 20

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Observation e979cd06-101a-417d-9198-a4e32183c4ef · outbound

This paper cites Multipartitew-type state is determined by its single-particle reduced density matrices among allw-type states.Phys.

Mixed States Uniquely Determined by Marginals and Additivity Multipartitew-type state is determined by its single-particle reduced density matrices among allw-type states.Phys

Reference 21

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Observation ee776245-6a05-443a-a813-48719f5f097b · outbound

This paper cites Almost all even-particle pure states are determined by their half-body marginals.Journal of Physics A: Mathematical and Theoretical, 57(49):495302, nov 2024.

Mixed States Uniquely Determined by Marginals and Additivity Almost all even-particle pure states are determined by their half-body marginals.Journal of Physics A: Mathematical and Theoretical, 57(49):495302, nov 2024

Reference 22

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Observation 3b99b5d2-9b9c-4f85-b300-075c54ee90ae · outbound

This paper cites Modi, and Marco Piani.

Mixed States Uniquely Determined by Marginals and Additivity Modi, and Marco Piani

Reference 23

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Observation 26989207-f9bf-4267-a598-eb778f076631 · outbound

This paper cites Observation of entanglement transition of pseudo-random mixed states.Nature Communications, 14(1):1971, 2023.

Mixed States Uniquely Determined by Marginals and Additivity Observation of entanglement transition of pseudo-random mixed states.Nature Communications, 14(1):1971, 2023

Reference 24

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Observation 8e50d718-8dea-4c12-abf6-5aec931b47ff · outbound

This paper cites Mixed-state topological order under coherent noise.PRX Quantum, 6:030355, Sep 2025.

Mixed States Uniquely Determined by Marginals and Additivity Mixed-state topological order under coherent noise.PRX Quantum, 6:030355, Sep 2025

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T14:39:17.569003Z

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Observation ea2099e4-29f3-494d-bda8-8b3a378b9c2c · outbound

This paper cites Uniqueness of quantum states compatible with given measurement results.Phys.

Mixed States Uniquely Determined by Marginals and Additivity Uniqueness of quantum states compatible with given measurement results.Phys

Reference 26

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Observation 089bd579-8e6e-49d9-8551-778d31c4b4f3 · outbound

This paper cites Jones and Noah Linden.

Mixed States Uniquely Determined by Marginals and Additivity Jones and Noah Linden

Reference 27

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Observation 6a2fa7c2-8eec-4cd2-a638-3a5af38f8c6c · outbound

This paper cites Almost all four-particle pure states are determined by their two-body marginals.Phys.

Mixed States Uniquely Determined by Marginals and Additivity Almost all four-particle pure states are determined by their two-body marginals.Phys

Reference 28

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Observation f1908b0d-ce01-45a5-9407-3aec250e1606 · outbound

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Mixed States Uniquely Determined by Marginals and Additivity Unresolved cited work

Reference 29

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Observation c8804c1e-3516-4ede-acbf-b13e5651005b · outbound

This paper cites Linden and W.

Mixed States Uniquely Determined by Marginals and Additivity Linden and W

Reference 30

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Observation 2d7a81c2-59b4-430a-a3e6-87e538f6fbe1 · outbound

This paper cites Additivity of states uniquely determined by marginals.Phys.

Mixed States Uniquely Determined by Marginals and Additivity Additivity of states uniquely determined by marginals.Phys

Reference 31

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Observation 5cb0c6b0-cec8-4fcd-ae44-301c2841fa73 · outbound

This paper cites Reversibility conditions for quantum operations.Reviews in Mathematical Physics, 24(07):1250016, 2012.

Mixed States Uniquely Determined by Marginals and Additivity Reversibility conditions for quantum operations.Reviews in Mathematical Physics, 24(07):1250016, 2012

Reference 32

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Observation a7390292-91d4-42f4-b9d8-f7032120a258 · outbound

This paper cites Entanglement detection length of multipartite quantum states.Phys.

Mixed States Uniquely Determined by Marginals and Additivity Entanglement detection length of multipartite quantum states.Phys

Reference 33

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Observation 31d0a233-c97a-4758-92cf-808e1122329c · outbound

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Mixed States Uniquely Determined by Marginals and Additivity Unresolved cited work

Reference 34

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Observation d15d4e15-a6cf-423c-b810-0401617fa249 · outbound

This paper cites Induced measures in the space of mixed quantum states.Journal of Physics A: Mathematical and General, 34(35):7111–7125, 2001.

Mixed States Uniquely Determined by Marginals and Additivity Induced measures in the space of mixed quantum states.Journal of Physics A: Mathematical and General, 34(35):7111–7125, 2001

Reference 35

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Observation d6131d11-4a68-476e-b82f-cc30fa4cfe25 · outbound

This paper cites Multipartite entanglement certification, with or without tomography.IEEE Transactions on Information Theory, 66(10):6369–6377, 2020.

Mixed States Uniquely Determined by Marginals and Additivity Multipartite entanglement certification, with or without tomography.IEEE Transactions on Information Theory, 66(10):6369–6377, 2020

Reference 36

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Observation e6c7fbf1-06b8-4dc7-9a2a-5bff1b23a0b2 · outbound

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Mixed States Uniquely Determined by Marginals and Additivity Unresolved cited work

Reference 37

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Observation 4799fcc5-827b-403a-b649-5c469758b694 · outbound

This paper cites Certifying almost all quantum states with few single-qubit measurements.Nature Physics, 21(11):1834–1841, 2025.

Mixed States Uniquely Determined by Marginals and Additivity Certifying almost all quantum states with few single-qubit measurements.Nature Physics, 21(11):1834–1841, 2025

Reference 38

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Observation 9523b783-6f56-434f-9b72-91a4bf19a1ee · outbound

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Mixed States Uniquely Determined by Marginals and Additivity Unresolved cited work

Reference 39

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Observation 5682f8d9-dab0-4f15-9746-9049518bdce2 · outbound

This paper cites Gupta, Neereja Sundaresan, Thomas Alexander, Christopher J.

Mixed States Uniquely Determined by Marginals and Additivity Gupta, Neereja Sundaresan, Thomas Alexander, Christopher J

Reference 40

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Mixed States Uniquely Determined by Marginals and Additivity Unresolved cited work

Reference 41

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