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On Partially Trace Distance Preserving Maps and Reversible Quantum Channels

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  • Long Jian
  • Kan He
  • Qing Yuan
  • Fei Wang

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.

Suggested Citation

  • Long Jian & Kan He & Qing Yuan & Fei Wang, 2013. "On Partially Trace Distance Preserving Maps and Reversible Quantum Channels," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, October.
    • Handle: RePEc:hin:jnljam:474291
    DOI: 10.1155/2013/474291
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