How often is a random quantum state k-entangled?

Details How often is a random quantum state k-entangled? How often is a random quantum state k-entangled?

2010-10-07

arxiv.org/abs/1010.1485v1

J. Phys. A 44, 045303 (2011)

Physics

Quantum Physics

19 pages in latex, 1 figure included

Scientific paper

10.1088/1751-8113/44/4/045303

The set of trace preserving, positive maps acting on density matrices of size d forms a convex body. We investigate its nested subsets consisting of k-positive maps, where k=2,...,d. Working with the measure induced by the Hilbert-Schmidt distance we derive asymptotically tight bounds for the volumes of these sets. Our results strongly suggest that the inner set of (k+1)-positive maps forms a small fraction of the outer set of k-positive maps. These results are related to analogous bounds for the relative volume of the sets of k-entangled states describing a bipartite d X d system.

Affiliated with

Also associated with

No associations

Rating

How often is a random quantum state k-entangled? 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 How often is a random quantum state k-entangled?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and How often is a random quantum state k-entangled? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-509962