Distribution of bipartite entanglement for random pure states

Olivier Giraud (1)

1 ICQ - Cohérence Quantique (LPT)

We calculate analytic expressions for the distribution of bipartite entanglement for pure random quantum states. All moments of the purity distribution are derived and an asymptotic expansion for the purity distribution itself is deduced. An approximate expression for moments and distribution of Meyer-Wallach entanglement for random pure states is then obtained.

Domaines: Physique Quantique [quant-ph]

Olivier Giraud. Distribution of bipartite entanglement for random pure states. Journal of Physics A: Mathematical and Theoretical, 2007, 40 (11), pp.2793-2801. ⟨10.1088/1751-8113/40/11/014⟩. ⟨hal-00171264⟩