Reversibility conditions for quantum operations

Details Reversibility conditions for quantum operations Reversibility conditions for quantum operations

2011-07-03

arxiv.org/abs/1107.0453v1

Physics

Quantum Physics

24 pages

Scientific paper

We give a list of equivalent conditions for reversibility of a trace-preserving Schwarz map with respect to a set of quantum states. A large class of such conditions is given by preservation of distinguishability measures: $f$-divergences, $L_1$ -distance, quantum Chernoff and Hoeffding distances; here we summarize and extend the known results. Moreover, we prove a number of conditions in terms of the properties of a quantum Radon-Nikodym derivative and factorization of states in the given set. Finally, we show that reversibility is equivalent with preservation of a large class of quantum Fisher informations and $\chi^2$-divergences.}

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