On Partially Trace Distance Preserving Maps and Reversible Quantum Channels

Long Jian, Kan He, Qing Yuan and Fei Wang

Journal of Applied Mathematics, 2013, vol. 2013, 1-5

Abstract:

We give a characterization of trace-preserving and positive linear maps preserving trace distance partially, that is, preservers of trace distance of quantum states or pure states rather than all matrices. Applying such results, we give a characterization of quantum channels leaving Helstrom's measure of distinguishability of quantum states or pure states invariant and show that such quantum channels are fully reversible, which are unitary transformations.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:474291

DOI: 10.1155/2013/474291

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