Physics – Quantum Physics
Scientific paper
2005-04-21
Quantum Information and Computation, Vol. 6, No. 3 (2006) 277-288
Physics
Quantum Physics
Revtex4, 7 pages, minor corrections
Scientific paper
Recently P. Wocjan and M. Horodecki [quant-ph/0503129] gave a characterization of combinatorially independent permutation separability criteria. Combinatorial independence is a necessary condition for permutations to yield truly independent criteria meaning that that no criterion is strictly stronger that any other. In this paper we observe that some of these criteria are still dependent and analyze why these dependencies occur. To remove them we introduce an improved necessary condition and give a complete classification of the remaining permutations. We conjecture that the remaining class of criteria only contains truly independent permutation separability criteria. Our conjecture is based on the proof that for two, three and four parties all these criteria are truly independent and on numerical verification of their independence for up to 8 parties. It was commonly believed that for three parties there were 9 independent criteria, here we prove that there are exactly 6 independent criteria for three parties and 22 for four parties.
Clarisse Lieven
Wocjan Pawel
No associations
LandOfFree
On independent permutation separability criteria 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 On independent permutation separability criteria, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On independent permutation separability criteria will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-315549