Purity distribution for bipartite random pure states

Physics – Quantum Physics

Scientific paper

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Scientific paper

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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