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Some properties of partial fidelities

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arxiv 0906.0063 v2 pith:Z7J6OQE2 submitted 2009-05-30 quant-ph

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keywords fidelitiespartialpropertiesbasiccannotconsidereddecreasederived
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Basic properties of Uhlmann's partial fidelities are discussed. Statistical interpretation in terms of POVM measurements is established. Multiplicativity properties are considered. The relationship between partial fidelities and partitioned trace distances is derived. As it is shown, the partial fidelities cannot decrease under unistochastic quantum operations. Thus, the partial fidelities have good properties in the sense of their use as distinguishability measures.

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Cited by 1 Pith paper

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  1. Microscopic Theory of Light-Induced Coherent Phonons Mediated by Quantum Geometry

    cond-mat.mes-hall 2025-08 unverdicted novelty 5.0 of 10

    The declared result, a Feynman-diagram derivation of coherent phonons with quantum geometric origin, is unverifiable because the submission's full text is an unrelated arXiv paper.

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