Probability measure generated by the superfidelity

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 prov...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-10, Vol.44 (40), p.405301-9
Main Authors: Puchała, Zbigniew, Miszczak, Jarosław A
Format: Article
Language:English
Subjects:
Density
Eigenvalues
Exact sciences and technology
Mathematical analysis
Matrices (mathematics)
Matrix methods
Physics
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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.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/40/405301