Contraction and Expansion Values of Quantum Channels | Paper Citation Record

Observation c609972c-fc89-42b8-a63d-87a7a155c9df · outbound

This paper cites Limitationsofnoisyreversible computation, 1996.

Contraction and Expansion Values of Quantum Channels Limitationsofnoisyreversible computation, 1996

Reference 1

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Observation 3b528bc9-00b2-4a4d-98cd-1508a1390a90 · outbound

This paper cites Differential privacy amplifica- tion in quantum and quantum-inspired algorithms, 2023.

Contraction and Expansion Values of Quantum Channels Differential privacy amplifica- tion in quantum and quantum-inspired algorithms, 2023

Reference 2

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Observation 70f537bc-6800-4ce6-b8b2-ceaa78ed66d1 · outbound

This paper cites Quantum local differential privacy and quan- tum statistical query model, 2023.

Contraction and Expansion Values of Quantum Channels Quantum local differential privacy and quan- tum statistical query model, 2023

Reference 3

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Observation 5baba632-02df-475f-a8f7-b2b2b48a88fd · outbound

This paper cites Reverse-type data processing inequality.Communications in Mathematical Physics, 406(12), 10 2025.

Contraction and Expansion Values of Quantum Channels Reverse-type data processing inequality.Communications in Mathematical Physics, 406(12), 10 2025

Reference 4

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Observation a837db9e-e0a7-435e-80a1-a3af35beb9ea · outbound

This paper cites Quantum Brascamp–Lieb dualities.

Contraction and Expansion Values of Quantum Channels Quantum Brascamp–Lieb dualities

Reference 5

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Observation 3bb16d50-bd99-4e28-a300-33556190a194 · outbound

This paper cites An analysis of completely-positive trace-preserving maps on M2.Linear Algebra and its Applica- tions, 347(1):159–187, 2002.

Contraction and Expansion Values of Quantum Channels An analysis of completely-positive trace-preserving maps on M2.Linear Algebra and its Applica- tions, 347(1):159–187, 2002

Reference 6

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Observation f319b941-5090-4192-b216-1b7fe0e321b1 · outbound

This paper cites Bhatia.Matrix Analysis.

Contraction and Expansion Values of Quantum Channels Bhatia.Matrix Analysis

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Observation 6a878c13-0391-459f-b4e0-96ea0e911310 · outbound

This paper cites Partially coherent direct sum channels.

Contraction and Expansion Values of Quantum Channels Partially coherent direct sum channels

Reference 9

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Observation 0dcbe02d-3472-4e62-8788-ea0171a9c16d · outbound

This paper cites Maximum and minimum causal ef- fects of physical processes.PRX Quantum, 6:020335, 05 2025.

Contraction and Expansion Values of Quantum Channels Maximum and minimum causal ef- fects of physical processes.PRX Quantum, 6:020335, 05 2025

Reference 10

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Observation 0e361473-f851-4555-8855-f257da7bd248 · outbound

This paper cites Dynamical maps beyond markovian regime, 2022.

Contraction and Expansion Values of Quantum Channels Dynamical maps beyond markovian regime, 2022

Reference 11

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Observation 249fd842-1bfc-42f5-a383-25690cb063ef · outbound

This paper cites Quantum reverse hypercontractivity.Journal of Mathematical Physics, 56(10):102204, 10 2015.

Contraction and Expansion Values of Quantum Channels Quantum reverse hypercontractivity.Journal of Mathematical Physics, 56(10):102204, 10 2015

Reference 12

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Observation f66a0553-b4cc-47ef-8f89-cba4a05da7c0 · outbound

This paper cites Computa- tional aspects of the trace norm contraction coefficient, 2025.

Contraction and Expansion Values of Quantum Channels Computa- tional aspects of the trace norm contraction coefficient, 2025

Reference 13

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Contraction and Expansion Values of Quantum Channels Unresolved cited work

Reference 14

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Observation 27fd0fe2-c63c-45c9-b366-a7cc4b0aa38c · outbound

This paper cites Complete entropic inequalities for quantum markov chains.Archive for Rational Mechanics and Analysis, 245(1):183–238, 07 2022.

Contraction and Expansion Values of Quantum Channels Complete entropic inequalities for quantum markov chains.Archive for Rational Mechanics and Analysis, 245(1):183–238, 07 2022

Reference 15

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Reference 16

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Observation 3b32940f-f2d4-4023-bff3-e65ac7ff13a2 · outbound

This paper cites On the mixed-unitary rank of quantum channels.Commu- nications in Mathematical Physics, 394(2):919–951, 09 2022.

Contraction and Expansion Values of Quantum Channels On the mixed-unitary rank of quantum channels.Commu- nications in Mathematical Physics, 394(2):919–951, 09 2022

Reference 17

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Observation bd04d32e-6512-4a45-be6a-958cc1cd36c4 · outbound

This paper cites Contraction coefficients for noisy quantum chan- nels.Journal of Mathematical Physics, 57(1):015211, 12 2015.

Contraction and Expansion Values of Quantum Channels Contraction coefficients for noisy quantum chan- nels.Journal of Mathematical Physics, 57(1):015211, 12 2015

Reference 18

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Observation a9f708e6-e9a2-4137-aa53-f05af90aba50 · outbound

This paper cites Quantumdoeblincoefficients: Asimpleupperboundoncontraction coefficients.

Contraction and Expansion Values of Quantum Channels Quantumdoeblincoefficients: Asimpleupperboundoncontraction coefficients

Reference 19

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Observation 9a6a3d8f-206c-46ae-aab1-9220ee3266e0 · outbound

This paper cites On contraction coeffi- cients, partialorders and approximationof capacitiesfor quantum channels.Quantum, 6:862, 11 2022.

Contraction and Expansion Values of Quantum Channels On contraction coeffi- cients, partialorders and approximationof capacitiesfor quantum channels.Quantum, 6:862, 11 2022

Reference 20

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Observation 9d87918c-3f92-4824-a949-65fbbf1e7ca2 · outbound

This paper cites Quantum Rényi and f-divergences from integral representations.Communications in Mathematical Physics, 405(9), 2024.

Contraction and Expansion Values of Quantum Channels Quantum Rényi and f-divergences from integral representations.Communications in Mathematical Physics, 405(9), 2024

Reference 21

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Observation 15db3fe0-32e8-45ec-b246-433d3dd3ef59 · outbound

This paper cites Average contraction coefficients of quan- tum channels, 2025.

Contraction and Expansion Values of Quantum Channels Average contraction coefficients of quan- tum channels, 2025

Reference 22

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Observation a560c2b6-6c5b-43a8-90a9-f9cfb52d2002 · outbound

This paper cites Ismailov, L.

Contraction and Expansion Values of Quantum Channels Ismailov, L

Reference 23

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Observation fd799033-c5f6-41bf-879b-587d9d1dd1dc · outbound

This paper cites Kastoryano and Kristan Temme.

Contraction and Expansion Values of Quantum Channels Kastoryano and Kristan Temme

Reference 24

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Observation 15cd9806-5b6f-4884-a864-ed487b005385 · outbound

This paper cites Hypercontractivity for semigroups of unital qubit channels, 2012.

Contraction and Expansion Values of Quantum Channels Hypercontractivity for semigroups of unital qubit channels, 2012

Reference 25

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Observation c007e4cd-24f1-4d62-9f6b-ca2ec8761584 · outbound

This paper cites Information fragility or robustness under quantum channels, 2023.

Contraction and Expansion Values of Quantum Channels Information fragility or robustness under quantum channels, 2023

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Observation 490b933b-98d4-41f4-8037-5fa3aad6113b · outbound

This paper cites Monotone Riemannian metrics and rela- tive entropy on noncommutative probability spaces.Journal of Mathematical Physics, 40(11):5702–5724, 11 1999.

Contraction and Expansion Values of Quantum Channels Monotone Riemannian metrics and rela- tive entropy on noncommutative probability spaces.Journal of Mathematical Physics, 40(11):5702–5724, 11 1999

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Observation cac91211-bb03-42f3-9bfe-0e888deb2e25 · outbound

This paper cites Excitation-damping quantum channels.

Contraction and Expansion Values of Quantum Channels Excitation-damping quantum channels

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Observation 6760378b-5e33-4325-9f68-fd9d2beee0ea · outbound

This paper cites Generalized dobrushin ergodicity coefficient and uniform ergodicities of markov operators.Positivity, 24(4):855–890, 10 2019.

Contraction and Expansion Values of Quantum Channels Generalized dobrushin ergodicity coefficient and uniform ergodicities of markov operators.Positivity, 24(4):855–890, 10 2019

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Observation 9edf270d-4d30-47e0-955a-2a8aa554a78b · outbound

This paper cites Sandwiched Rényi convergence for quantum evolutions.Quantum, 2:55, 02 2018.

Contraction and Expansion Values of Quantum Channels Sandwiched Rényi convergence for quantum evolutions.Quantum, 2:55, 02 2018

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Observation 74828824-01ef-4a0d-909d-2a4827a19b28 · outbound

This paper cites Bernstein numbers of embeddings of isotropic and dominating mixed besov spaces.Mathematische Nachrichten, 288(14-15):1694–1717, 2015.

Contraction and Expansion Values of Quantum Channels Bernstein numbers of embeddings of isotropic and dominating mixed besov spaces.Mathematische Nachrichten, 288(14-15):1694–1717, 2015

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Observation 4af4d15e-5e8a-46cc-b525-73928b734bdb · outbound

This paper cites Nielsen and Isaac L.

Contraction and Expansion Values of Quantum Channels Nielsen and Isaac L

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Contraction and Expansion Values of Quantum Channels Unresolved cited work

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Observation 7018b723-58e2-4067-bc1c-94e2392d5722 · outbound

This paper cites Contraction of generalized relative entropy under stochastic mappings on matrices.Infinite Dimensional Analysis, Quantum Probability and Related Topics, 01(01):83–89, 1998.

Contraction and Expansion Values of Quantum Channels Contraction of generalized relative entropy under stochastic mappings on matrices.Infinite Dimensional Analysis, Quantum Probability and Related Topics, 01(01):83–89, 1998

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Observation ffd761b5-08fa-4359-a50f-873a2231349f · outbound

This paper cites Pietsch.Operators Ideals.

Contraction and Expansion Values of Quantum Channels Pietsch.Operators Ideals

Reference 35

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Observation 7c327707-5eb7-47f1-9523-eab9d3162dc7 · outbound

This paper cites Pietsch.Eigenvalues and S-Numbers.

Contraction and Expansion Values of Quantum Channels Pietsch.Eigenvalues and S-Numbers

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Observation 995da8a7-919b-40df-859a-9687b078668a · outbound

This paper cites s-numbers of operators in banach spaces.Studia Mathematica, 51(3):201–223, 1974.

Contraction and Expansion Values of Quantum Channels s-numbers of operators in banach spaces.Studia Mathematica, 51(3):201–223, 1974

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Observation a43e1faa-9a2f-4ed4-8b9a-dfde23bc585d · outbound

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Contraction and Expansion Values of Quantum Channels Weyl numbers and eigenvalues of operators in banach spaces.Math- ematische Annalen, 247(2):149–168, 06 1980

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Observation e313ea4e-923d-4cdc-bb98-60a4faa0bed9 · outbound

This paper cites Bad properties of the Bernstein numbers.Studia Mathematica, 184(3):263–269, 2008.

Contraction and Expansion Values of Quantum Channels Bad properties of the Bernstein numbers.Studia Mathematica, 184(3):263–269, 2008

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Observation 674a7038-d027-4712-b86c-b1b8656fdf74 · outbound

This paper cites Wolf, Denes Petz, and Mary Beth Ruskai.

Contraction and Expansion Values of Quantum Channels Wolf, Denes Petz, and Mary Beth Ruskai

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Observation 3db92be5-cca9-497c-a249-c111f300faa0 · outbound

This paper cites Exponentially tighter bounds on limitations of quantum error mitigation.

Contraction and Expansion Values of Quantum Channels Exponentially tighter bounds on limitations of quantum error mitigation

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Observation cbe4057d-6870-4296-aaeb-53427c030b17 · outbound

This paper cites Computing quantum channel capacities.IEEE Transactions on Information Theory, 67(2):946– 960, 2021.

Contraction and Expansion Values of Quantum Channels Computing quantum channel capacities.IEEE Transactions on Information Theory, 67(2):946– 960, 2021

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Observation e119936f-eeac-4565-b8f7-d69fe74bb5f4 · outbound

This paper cites Kastoryano, and Michael M.

Contraction and Expansion Values of Quantum Channels Kastoryano, and Michael M

Reference 43

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This paper cites Alhambra.

Contraction and Expansion Values of Quantum Channels Alhambra

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Observation 14dc7210-0b81-4341-82b5-52572f29a96e · outbound

This paper cites Equality conditions for the quantum f-relative entropy and general- ized data processing inequalities.Quantum Information Processing, 11(1):137–160, 02 2012.

Contraction and Expansion Values of Quantum Channels Equality conditions for the quantum f-relative entropy and general- ized data processing inequalities.Quantum Information Processing, 11(1):137–160, 02 2012

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Observation df90b1a8-6dc8-4c1c-a030-b64fd6a3ad6f · outbound

This paper cites Shor, John A.

Contraction and Expansion Values of Quantum Channels Shor, John A

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Observation f9cd38d4-43c3-40f1-a113-2358fb49957f · outbound

This paper cites Limitations of optimization algorithms on noisy quantum devices.Nature Physics, 17(11):1221–1227, 10 2021.

Contraction and Expansion Values of Quantum Channels Limitations of optimization algorithms on noisy quantum devices.Nature Physics, 17(11):1221–1227, 10 2021

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Observation 52575450-aadf-4d5b-980f-a56b00f6a144 · outbound

This paper cites Temme, M.

Contraction and Expansion Values of Quantum Channels Temme, M

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Observation a19b7f08-3e29-4e4f-95df-66a80171693b · outbound

This paper cites Terhal and David P.

Contraction and Expansion Values of Quantum Channels Terhal and David P

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Observation 1995072a-590b-4fa4-9f0d-259810785d8e · outbound

This paper cites A sufficient criterion for divisibility of quantum channels.Journal of Mathematical Physics, 66(3), 03 2025.

Contraction and Expansion Values of Quantum Channels A sufficient criterion for divisibility of quantum channels.Journal of Mathematical Physics, 66(3), 03 2025

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Observation 75db81c4-8fc1-40f5-86f0-76ec9f19e08d · outbound

This paper cites Cambridge University Press, 2018.

Contraction and Expansion Values of Quantum Channels Cambridge University Press, 2018

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Observation 1026d8fd-4be0-4a9e-bc44-730740dcaf70 · outbound

This paper cites Wolf and J.

Contraction and Expansion Values of Quantum Channels Wolf and J

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Observation b0c21817-ad11-40d5-94d3-1facdf286a20 · outbound

This paper cites Theinverseeigenvalueproblemforquantum channels, 2010.

Contraction and Expansion Values of Quantum Channels Theinverseeigenvalueproblemforquantum channels, 2010

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