Abstract
We study how the mathematical property of pure-state decomposition of a mixed state is related to the quantum state discrimination. All the possible linearly independent pure-state decomposition of a rank-two mixed state are characterized by means of the complex overlap between the two involved states, finding that the balanced pure-state decomposition has the smallest probability of being discriminated conclusively and the highest one with minimum-error.
© 2012 Optical Society of America
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