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Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika"
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Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", 1983, Volume 20, Pages 52–94 (Mi intv54)  
This article is cited in 4 scientific papers (total in 4 papers)

Completely positive linear mappings, non-Hamiltonian evolution, and quantum stochastic processes

V. I. Oseledets
Full-text PDF (2573 kB) Citations (4)
Abstract: The present survey is mainly devoted to works published from 1969–1980 in Ref. Mat. Zh. in which completely positive linear mappings are studied that arise, in particular, in the quantum theory of open systems, the quantum theory of measurements, and in problems of the dynamics of a small system interacting with a large system. Here the probabilistic aspect is singled out, and analogies and connections with ordinary Markov processes are indicated.
English version:
Journal of Soviet Mathematics, 1984, Volume 25, Issue 6, Pages 1529–1557
DOI: https://doi.org/10.1007/BF01101650
Bibliographic databases:
UDC: 519.218+519.217+519.248.2
Language: Russian
Citation: V. I. Oseledets, “Completely positive linear mappings, non-Hamiltonian evolution, and quantum stochastic processes”, Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 20, VINITI, Moscow, 1983, 52–94; J. Soviet Math., 25:6 (1984), 1529–1557
Citation in format AMSBIB
\Bibitem{Ose83}
\by V.~I.~Oseledets
\paper Completely positive linear mappings, non-Hamiltonian evolution, and quantum stochastic processes
\serial Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern.
\yr 1983
\vol 20
\pages 52--94
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intv54}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=733794}
\zmath{https://zbmath.org/?q=an:0531.46046|0561.46030}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 25
\issue 6
\pages 1529--1557
\crossref{https://doi.org/10.1007/BF01101650}
Linking options:
  • https://www.mathnet.ru/eng/intv54
  • https://www.mathnet.ru/eng/intv/v20/p52
    • This publication is cited in the following 4 articles:
    1. Ritam Basu, Anish Chakraborty, Himanshu Badhani, Mir Alimuddin, Samyadeb Bhattacharya, “Exploring non-Markovianity in ergodic channels: Measuring memory retention through ergotropy”, Phys. Rev. A, 111:3 (2025)  crossref
    2. Victor V. Albert, “Asymptotics of quantum channels: conserved quantities, an adiabatic limit, and matrix product states”, Quantum, 3 (2019), 151  crossref
    3. Natasha Awasthi, Samyadeb Bhattacharya, Aditi Sen(De), Ujjwal Sen, “Universal quantum uncertainty relations between nonergodicity and loss of information”, Phys. Rev. A, 97:3 (2018)  crossref
    4. D Burgarth, G Chiribella, V Giovannetti, P Perinotti, K Yuasa, “Ergodic and mixing quantum channels in finite dimensions”, New J. Phys., 15:7 (2013), 073045  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:686
    Full-text PDF :452
    References:2
     
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