On Partially Trace Distance Preserving Maps and Reversible Quantum Channels | Zendy

Long Jian | Zendy; Kan He | Zendy; Qing Yuan | Zendy; Fei Wang | Zendy

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On Partially Trace Distance Preserving Maps and Reversible Quantum Channels

Author(s) -

Long Jian,

Kan He,

Qing Yuan,

Fei Wang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/474291

Subject(s) - trace (psycholinguistics) , trace distance , unitary state , quantum , characterization (materials science) , measure (data warehouse) , mathematics , quantum state , invariant (physics) , quantum mechanics , physics , computer science , mathematical physics , data mining , optics , philosophy , linguistics , political science , law

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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