Purity distribution for bipartite random pure states

2007/10/10 by O. Giraud, Giraud, O. · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0710.2045

arxiv created 2007/10/10 · arxiv updated 2009/12/01

Abstract

Analytic expressions for the probability density distribution of the linear entropy and the purity are derived for bipartite pure random quantum states. The explicit distributions for a state belonging to a product of Hilbert spaces of dimensions p and q are given for p=3 and any q>=3, as well as for p=q=4.

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