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2013 On Partially Trace Distance Preserving Maps and Reversible Quantum Channels
Long Jian, Kan He, Qing Yuan, Fei Wang
J. Appl. Math. 2013: 1-5 (2013). DOI: 10.1155/2013/474291

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.

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Long Jian. Kan He. Qing Yuan. Fei Wang. "On Partially Trace Distance Preserving Maps and Reversible Quantum Channels." J. Appl. Math. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/474291

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950694
MathSciNet: MR3115288
Digital Object Identifier: 10.1155/2013/474291

Rights: Copyright © 2013 Hindawi

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