Schmidt numbers of low rank bipartite mixed states

Details Schmidt numbers of low rank bipartite mixed states Schmidt numbers of low rank bipartite mixed states

2002-11-10

arxiv.org/abs/quant-ph/0211052v1

Physics

Quantum Physics

10 pages, no figure

Scientific paper

10.1103/PhysRevA.67.062301

We prove a lower bound for Schmidt numbers of bipartite mixed states. This lower bound can be applied easily to low rank bipartite mixed states. From this lower bound it is known that generic low rank bipartite mixed states have relatively high Schmidt numbers and thus entangled. We can compute Schmidt numbers exactly for some mixed states by this lower bound as shown in Examples. This lower bound can also be used effectively to determine that some mixed states cannot be convertible to other mixed states by local operations and classical communication. The results in this paper are proved by ONLY using linear algebra, thus the results and proof are easy to understand.

Affiliated with

Also associated with

No associations

Rating

Schmidt numbers of low rank bipartite mixed 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 Schmidt numbers of low rank bipartite mixed states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schmidt numbers of low rank bipartite mixed states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-69811