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Discrimination between pure states and mixed states

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arxiv quant-ph/0611122 v2 pith:2ZOAAA2Y submitted 2006-11-11 quant-ph

Discrimination between pure states and mixed states

classification quant-ph
keywords discriminationstatesmixedproblempurequantumstatestrategies
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we discuss the problem of determining whether a quantum system is in a pure state, or in a mixed state. We apply two strategies to settle this problem: the unambiguous discrimination and the maximum confidence discrimination. We also proved that the optimal versions of both strategies are equivalent. The efficiency of the discrimination is also analyzed. This scheme also provides a method to estimate purity of quantum states, and Schmidt numbers of composed systems.

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