title: Jarzynski equality for quantum stochastic maps.
abstract: Jarzynski equality and related fluctuation theorems can be formulated for various setups. Such an equality was recently derived for nonunitary quantum evolutions described by unital quantum operations, i.e., for completely positive, trace-preserving maps, which preserve the maximally mixed state. We analyze here a more general case of arbitrary quantum operations on finite systems and derive the corresponding form of the Jarzynski equality. It contains a correction term due to nonunitality of the quantum map. Bounds for the relative size of this correction term are established and they are applied for exemplary systems subjected to quantum channels acting on a finite-dimensional Hilbert space.
authors.affiliation: Department of Theoretical Physics, Irkutsk State University, Gagarin Bv. 20, Irkutsk 664003, Russia.
authors.forename: Alexey E
authors.initials: AE
authors.lastname: Rastegin
authors.affiliation: Institute of Physics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland and Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland.
authors.forename: Karol
authors.initials: K
authors.lastname: Życzkowski