Abstract
We compute analytically the density ϱN, M(λ) of Schmidt eigenvalues, distributed according to a fixed-trace Wishart–Laguerre measure, and the average Rényi entropy for reduced density matrices of entangled random pure states with orthogonal symmetry (β = 1). The results are valid for arbitrary dimensions N = 2k, M of the corresponding Hilbert space partitions, and are in excellent agreement with numerical simulations.
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