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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)
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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
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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