Sufficient and necessary condition of separability for generalized Werner states |
| |
Authors: | Dong-Ling Deng |
| |
Institution: | Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, PR China |
| |
Abstract: | In a celebrated paper Optics Communications 179, 447, 2000], A.O. Pittenger and M.H. Rubin presented for the first time a sufficient and necessary condition of separability for the generalized Werner states. Inspired by their ideas, we generalized their method to a more general case. We obtain a sufficient and necessary condition for the separability of a specific class of N d-dimensional system (qudits) states, namely special generalized Werner state (SGWS): , where is an entangled pure state of N qudits system and αi satisfies two restrictions: (i) ; (ii) Matrix , where , is a density matrix. Our condition gives quite a simple and efficiently computable way to judge whether a given SGWS is separable or not and previously known separable conditions are shown to be special cases of our approach. |
| |
Keywords: | 03 65 Ud 03 67 Mn 03 65 Ca |
本文献已被 ScienceDirect 等数据库收录! |
|