The generalized partial transposition criterion for separability of multipartite quantum states
Institution:
1. College of Sciences and Humanities, Prince Sattam Bin Abdulaziz University, Al-Aflaj, Saudi Arabia;2. Faculty of Science, Assiut University, Assiut, Egypt;3. Physics Department, Adelphi University Garden City, NY 11530, United States;4. Department of Physics and Optical Engineering, RHIT, Terra Haute IN 47803, USA;5. Department of Mathematics, College of Science, University of Bahrain, P.O. Box 32038, Bahrain
Abstract:
We present a generalized partial transposition separability criterion for the density matrix of a multipartite quantum system. This criterion comprises as special cases the famous Peres–Horodecki criterion and the recent realignment criterion in O. Rudolph, quant-ph/0202121] and K. Chen, L.A. Wu, quant-ph/0205017]. It involves only straightforward matrix manipulations and is easy to apply. A quantitative measure of entanglement based on this criterion is also obtained.
