Statistical properties of random matrix product states

Details Statistical properties of random matrix product states Statistical properties of random matrix product states

2010-03-27

arxiv.org/abs/1003.5253v2

Phys. Rev. A 82, 052312 (2010)

Physics

Quantum Physics

12 pages, 17 figures; published version

Scientific paper

10.1103/PhysRevA.82.052312

We study the set of random matrix product states (RMPS) introduced in arXiv:0908.3877 as a tool to explore foundational aspects of quantum statistical mechanics. In the present work, we provide an accurate numerical and analytical investigation of the properties of RMPS. We calculate the average state of the ensemble in the non-homogeneous case, and numerically check the validity of this result. We also suggest using RMPS as a tool to approximate properties of general quantum random states. The numerical simulations presented here support the accuracy and efficiency of this approximation. These results suggest that any generalized canonical state can be approximated with high probability by the reduced density matrix of a random MPS, if the average MPS coincide with the associated microcanonical ensemble.

Affiliated with

Also associated with

No associations

Rating

Statistical properties of random matrix product states 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 properties of random matrix product states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical properties of random matrix product states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-275300