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Optica Publishing Group
  • Optical Fiber Communication Conference and International Conference on Quantum Information
  • 2001 OSA Technical Digest Series (Optica Publishing Group, 2001),
  • paper PB36

Quantum State Transformations, Majorization and Distinguishability

Open Access Open Access

Abstract

We give a unified treatment of quantum operations which transform one set of pure states into a another pure set. Extremal cases are deterministic transformations, which have unit success probability, and unambiguous state discrimination, which reveals the state and has the lowest success probability for a fixed initial ensemble. We obtain necessary and, for linearly independent initial states, sufficient conditions for the realisability of a given transformation with a fixed probability of success for each state. We then examine the relationship between deterministic transformations, majorization and distinguishability.

© 2001 Optical Society of America

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