Random density matrices: Analytical results for mean root fidelity and the mean-square Bures distance

Bures distance holds a special place among various measures due to its several distinguished features and finds applications in diverse problems quantum information theory. It is related fidelity and, other things, it serves as bona fide measure for quantifying the separability of states. In this work, we calculate exact analytical results mean root square between fixed density matrix random matrix, also two matrices. course derivation, obtain spectral product above pairs We corroborate our using Monte Carlo simulations. Moreover, compare these with reduced matrices generated coupled kicked tops find very good agreement.