Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2008, Volume 84, Issue 1, Pages 108–116
DOI: https://doi.org/10.4213/mzm5193 (Mi mzm5193) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Detailed Balance, Time Reversal, and Generators of Quantum Markov Semigroups

F. Fagnola, V. Umanita

Politecnico di Milano
Full-text PDF (485 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm5193
Abstract: We characterize generators $\mathscr L$ of norm continuous quantum Markov semigroups satisfying the quantum detailed balance condition with respect to an antiunitary time reversal in terms of the operators $H$ and $L_k$ in the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) representation $\mathscr L(x)=i[H,x]-(1/2)\sum_k(L^*_kL_kx -2L^*_kxL_k+xL^*_kL_k)$.
Keywords: quantum detailed balance, time reversal, quantum Markov semigroup, Lindblad representation, antiunitary operator.
Received: 19.10.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 1, Pages 108–115
DOI: https://doi.org/10.1134/S0001434608070092
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: F. Fagnola, V. Umanita, “Detailed Balance, Time Reversal, and Generators of Quantum Markov Semigroups”, Mat. Zametki, 84:1 (2008), 108–116; Math. Notes, 84:1 (2008), 108–115
Citation in format AMSBIB
\Bibitem{FagUma08}
\by F.~Fagnola, V.~Umanita
\paper Detailed Balance, Time Reversal, and Generators of Quantum Markov Semigroups
\jour Mat. Zametki
\yr 2008
\vol 84
\issue 1
\pages 108--116
\mathnet{http://mi.mathnet.ru/mzm5193}
\crossref{https://doi.org/10.4213/mzm5193}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2451888}
\transl
\jour Math. Notes
\yr 2008
\vol 84
\issue 1
\pages 108--115
\crossref{https://doi.org/10.1134/S0001434608070092}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000258855600009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-50849137785}
Linking options:
  • https://www.mathnet.ru/eng/mzm5193
  • https://doi.org/10.4213/mzm5193
  • https://www.mathnet.ru/eng/mzm/v84/i1/p108
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:520
    Full-text PDF :208
    References:61
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024