Research PapersNo Access

REVERSIBILITY CONDITIONS FOR QUANTUM OPERATIONS

ANNA JENČOVÁ

Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia

https://doi.org/10.1142/S0129055X1250016XCited by:27 (Source: Crossref)

Abstract

We give a list of equivalent conditions for reversibility of the adjoint of a unital 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, L₁-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 to preservation of a large class of quantum Fisher informations and χ²-divergences.

Keywords:

AMSC: 81P16, 94A17, 62F03

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