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Detailed balance, time reversal, and generators of quantum Markov semigroups

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Abstract

We characterize generators 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 ℒ(x) = i[H, x] − (1/2)gZ k (L* k L k x − 2L* k x L k + x L* k L k ).

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Correspondence to F. Fagnola.

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Published in Russian in Matematicheskie Zametki, 2008, Vol. 84, No. 1, pp. 108–116.

The text was submitted by the authors in English.

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Fagnola, F., Umanità, V. Detailed balance, time reversal, and generators of quantum Markov semigroups. Math Notes 84, 108–115 (2008). https://doi.org/10.1134/S0001434608070092

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