On partially trace distance preserving maps and reversible quantum channels (Q1789940)
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scientific article; zbMATH DE number 6950694
| Language | Label | Description | Also known as |
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| English | On partially trace distance preserving maps and reversible quantum channels |
scientific article; zbMATH DE number 6950694 |
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On partially trace distance preserving maps and reversible quantum channels (English)
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10 October 2018
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Summary: 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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