Low rank separable states are a set of measure zero within the set of low rank states

Details Low rank separable states are a set of measure zero within the set of low rank states Low rank separable states are a set of measure zero within the set of low rank states

2001-11-08

arxiv.org/abs/quant-ph/0111051v1

Physics

Quantum Physics

3 pages

Scientific paper

10.1103/PhysRevA.65.064304

It is shown that the set of rank r separable states is measure zero within the set of low rank states provided r is less than an upper bound which depends upon the number of particles and the dimensions of the spaces they are modelled on. The upper bound is given. In the bipartite case in which both particles are modelled on m-dimensional hilbert space it is (m-1)^2. In the case of p qubits it is (2^p)-p. This paper is a corretion of one I recently posted and subsequently withdrew. That paper claimed the set of rank r separable states is measure zero if r is non-maximal rank. That may be true, but the proof in the withdrawn paper was false.

Affiliated with

Also associated with

No associations

Rating

Low rank separable states are a set of measure zero within the set of low rank 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 Low rank separable states are a set of measure zero within the set of low rank states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low rank separable states are a set of measure zero within the set of low rank states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421774