Entangled random pure states with orthogonal symmetry: exact results
Pierpaolo Vivo · Journal of Physics A Mathematical and Theoretical · 2010
We compute analytically the density ϱ N , 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 = 2 k , M of the corresponding Hilbert space partitions, and are in excellent agreement with numerical simulations.