Statistical distribution of quantum entanglement for a random bipartite state

Details Statistical distribution of quantum entanglement for a random bipartite state Statistical distribution of quantum entanglement for a random bipartite state

2010-06-21

arxiv.org/abs/1006.4091v1

Journal of Statistical Physics, Volume 142, Number 2, 403-438 (2011)

Physics

Condensed Matter

Statistical Mechanics

7 figures

Scientific paper

10.1007/s10955-010-0108-4

We compute analytically the statistics of the Renyi and von Neumann entropies (standard measures of entanglement), for a random pure state in a large bipartite quantum system. The full probability distribution is computed by first mapping the problem to a random matrix model and then using a Coulomb gas method. We identify three different regimes in the entropy distribution, which correspond to two phase transitions in the associated Coulomb gas. The two critical points correspond to sudden changes in the shape of the Coulomb charge density: the appearance of an integrable singularity at the origin for the first critical point, and the detachement of the rightmost charge (largest eigenvalue) from the sea of the other charges at the second critical point. Analytical results are verified by Monte Carlo numerical simulations. A short account of some of these results appeared recently in Phys. Rev. Lett. {\bf 104}, 110501 (2010).

Affiliated with

Also associated with

No associations

Rating

Statistical distribution of quantum entanglement for a random bipartite state does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Statistical distribution of quantum entanglement for a random bipartite state, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical distribution of quantum entanglement for a random bipartite state will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601702