Abstract
We construct quantum stochastic processes whose multi-time correlation functions, with suitable time ordering, can be obtained from a quantum dynamical semigroup. We prove that such a process defines a stationary Markov dilation of the associated semigroup if and only if (up to technicalities) the semigroup satisfies the quantum detailed balance condition with respect to its stationary state.
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Communicated by H. Araki
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Frigerio, A., Gorini, V. Markov dilations and quantum detailed balance. Commun.Math. Phys. 93, 517–532 (1984). https://doi.org/10.1007/BF01212293
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DOI: https://doi.org/10.1007/BF01212293