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Probability measure generated by the superfidelity. (English) Zbl 1229.81055

Summary: We study the probability measure on the set of density matrices induced by the metric defined by using superfidelity. We give the formula for the probability density of eigenvalues. We also study some statistical properties of the set of density matrices equipped with the introduced measure and provide a method for generating density matrices according to the introduced measure.

MSC:

81P45 Quantum information, communication, networks (quantum-theoretic aspects)
81P68 Quantum computation
81P70 Quantum coding (general)
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