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Measurement does not always aid state discrimination

Hunter, Kieran (2003) Measurement does not always aid state discrimination. Physical Review A, 68 (1). 012306/1-012306/3. ISSN 1094-1622

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We have investigated the problem of discriminating between nonorthogonal quantum states with the least probability of error. We have determined that the best strategy for some sets of states is to make no measurement at all and simply to always assign the most commonly occurring state. Conditions that describe such sets of states have been derived.