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

Loading [MathJax]/jax/output/SVG/config.js

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

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)

References:

PDF

HTML

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

Citation in format AMSBIB

\Bibitem{Amo15}

\by G.~G.~Amosov

\paper Estimating the~output entropy of a~tensor product of two quantum channels

\jour TMF

\yr 2015

\vol 182

\issue 3

\pages 453--464

\mathnet{http://mi.mathnet.ru/tmf8776}

\crossref{https://doi.org/10.4213/tmf8776}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3399627}

\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2015TMP...182..397A}

\elib{https://elibrary.ru/item.asp?id=23421728}

\transl

\jour Theoret. and Math. Phys.

\yr 2015

\vol 182

\issue 3

\pages 397--406

\crossref{https://doi.org/10.1007/s11232-015-0270-6}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000352624000005}

\elib{https://elibrary.ru/item.asp?id=24021838}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84927169410}

Linking options:

https://www.mathnet.ru/eng/tmf8776

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

Statistics & downloads:
Abstract page:	527
Full-text PDF :	196
References:	63
First page:	26

Что такое QR-код?

Registration to the website

Logotypes