G. G. Amosov, “Estimating the output entropy of a tensor product of two quantum channels”, TMF, 182:3 (2015), 453–464; Theoret. and Math. Phys., 182:3 (2015), 397

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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 182, Number 3, Pages 453–464
DOI: https://doi.org/10.4213/tmf8776 (Mi tmf8776)

This article is cited in 8 scientific papers (total in 8 papers)

Estimating the output entropy of a tensor product of two quantum channels

G. G. Amosov

Steklov Mathematical Institute, RAS, Moscow, Russia

Full-text PDF (432 kB) Citations (8)

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DOI: https://doi.org/10.4213/tmf8776

Abstract: For a class of bipartite quantum states, we find a nontrivial lower bound on the entropy gain resulting from the action of a tensor product of the identity channel with an arbitrary channel. We use the obtained result to bound the output entropy of the tensor product of a dephasing channel with an arbitrary channel from below. We characterize phase-damping channels that are particular cases of dephasing channels.

Keywords: quantum channel, bipartite quantum system, entanglement, von Neumann entropy.

Funding agency	Grant number
Russian Science Foundation	14-21-00162

Received: 07.08.2014
Revised: 29.09.2014

English version:
Theoretical and Mathematical Physics, 2015, Volume 182, Issue 3, Pages 397–406
DOI: https://doi.org/10.1007/s11232-015-0270-6

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: G. G. Amosov, “Estimating the output entropy of a tensor product of two quantum channels”, TMF, 182:3 (2015), 453–464; Theoret. and Math. Phys., 182:3 (2015), 397–406

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https://doi.org/10.4213/tmf8776

https://www.mathnet.ru/eng/tmf/v182/i3/p453

This publication is cited in the following 8 articles:

R. N. Gumerov, R. L. Khazhin, “Generating Quantum Channels”, Proc. Steklov Inst. Math., 324 (2024), 75–85
R. N. Gumerov, R. L. Khazhin, “Generating quantum dynamic mapping”, Theoret. and Math. Phys., 221:3 (2024), 2177–2192
Milajiguli Rexiti, Laleh Memarzadeh, Stefano Mancini, “Discrimination of dephasing channels”, J. Phys. A: Math. Theor., 55:24 (2022), 245301
G. Amosov, “On classical capacity of Weyl channels”, Quantum Inf. Process., 19:11 (2020), 401
A. V. Lebedev, G. B. Lesovik, “H-theorem for systems with an interaction invariant distribution function”, Lobachevskii J. Math., 40:10, SI (2019), 1516–1520
F. Mukhamedov, N. Watanabe, “On $S$-mixing entropy of quantum channels”, Quantum Inf. Process., 17:6 (2018), UNSP 148
G. G. Amosov, “Algebraic methods of the study of quantum information transfer channels”, J. Math. Sci. (N. Y.), 241:2 (2019), 109–116
Lesovik G.B., Lebedev A.V., Sadovskyy I.A., Suslov M.V., Vinokur V.M., “H-theorem in quantum physics”, Sci Rep, 6 (2016), 32815

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	196
References:	65
First page:	26

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