Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
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


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2013, Volume 204, Issue 8, Pages 1215–1237
DOI: https://doi.org/10.1070/SM2013v204n08ABEH004337 (Mi sm8156) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Reversibility conditions for quantum channels and their applications

M. E. Shirokov

Steklov Mathematical Institute of the Russian Academy of Sciences
English version PDF (612 kB) Citations (7) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2013v204n08ABEH004337
Abstract: Conditions for a quantum channel (noncommutative Markov operator) to be reversible with respect to complete families of quantum states with bounded rank are obtained. A description of all quantum channels reversible with respect to a given (orthogonal or nonorthogonal) complete family of pure states is given. Some applications in quantum information theory are considered.
Bibliography: 20 titles.
Keywords: quantum states, quantum channels, relative entropy, $\chi$-quantity of ensemble of quantum states.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 12-01-00319-а
13-01-00295а
Received: 18.07.2012 and 18.03.2013
Bibliographic databases:
Document Type: Article
UDC: 519.248.3
MSC: Primary 81P45, 81P68; Secondary 46L60, 46N50
Language: English
Original paper language: Russian
Citation: M. E. Shirokov, “Reversibility conditions for quantum channels and their applications”, Sb. Math., 204:8 (2013), 1215–1237
Citation in format AMSBIB
\Bibitem{Shi13}
\by M.~E.~Shirokov
\paper Reversibility conditions for quantum channels and their applications
\jour Sb. Math.
\yr 2013
\vol 204
\issue 8
\pages 1215--1237
\mathnet{http://mi.mathnet.ru//eng/sm8156}
\crossref{https://doi.org/10.1070/SM2013v204n08ABEH004337}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3135691}
\zmath{https://zbmath.org/?q=an:06231594}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2013SbMat.204.1215S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000325549200007}
\elib{https://elibrary.ru/item.asp?id=20359271}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84888321025}
Linking options:
  • https://www.mathnet.ru/eng/sm8156
  • https://doi.org/10.1070/SM2013v204n08ABEH004337
  • https://www.mathnet.ru/eng/sm/v204/i8/p137
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:505
    Russian version PDF:188
    English version PDF:18
    References:37
    First page:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024