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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