Alexey E. Rastegin, Karol Życzkowski
Jarzynski equality and related fluctuation theorems can be formulated for various set-ups. Such an equality was recently derived for a non-unitary quantum evolution described by any quantum operation, which preserves the maximally mixed state. We analyze here a more general case of an arbitrary stochastic quantum map and derive the corresponding form of the Jarzynski equality. It contains a correction term due to non-unitality of the quantum map. Bounds for the relative size of this correction term are established and they are applied for some exemplary systems subjected to quantum channels acting on a finite dimensional Hilbert space.
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http://arxiv.org/abs/1307.5370
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