Some properties of partial fidelities

  • Authors:
  • Alexey E. Rastegin

  • Affiliations:
  • Department of Theoretical Physics, Irkutsk State University, Irkutsk, Russia

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2009

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Abstract

Basic properties of Uhlmann's partial fidelities are discussed. Statistical interpretationin terms of POVM measurements is established. Multiplicativity properties are con-sidered. The relationship between partial fidelities and partitioned trace distances isderived. As it is shown, the partial fidelities cannot decrease under unistochastic quan-tum operations. Thus, the partial fidelities have good properties in the sense of theiruse as distinguishability measures.