On Partially Trace Distance Preserving Maps and Reversible Quantum Channels. (10th October 2013)

• Record Type: Journal Article
• Authors: Jian, Long; He, Kan; Yuan, Qing; Wang, Fei
• Other Names: Au Francis T. K. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-10-10
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/474291
• Languages: English
• ISSNs: 1110-757X

Abstract

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.