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Unambiguous discrimination between quantum mixed states

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arxiv quant-ph/0403147 v2 pith:QEA7LYZ2 submitted 2004-03-20 quant-ph

Unambiguous discrimination between quantum mixed states

classification quant-ph
keywords statesmixeddiscriminateddiscriminationquantumstateunambiguousbounds
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We prove that the states secretly chosen from a mixed state set can be perfectly discriminated if and only if these states are orthogonal. The sufficient and necessary condition when nonorthogonal quantum mixed states can be unambiguously discriminated is also presented. Furthermore, we derive a series of lower bounds on the inconclusive probability of unambiguous discrimination of states from a mixed state set with \textit{a prior} probabilities.

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