An explicit procedure for transforming one bipartite entangled state into another via local operations and classical communication (LOCC) is presented. Our procedure is much simper than the previous ones in the sens...An explicit procedure for transforming one bipartite entangled state into another via local operations and classical communication (LOCC) is presented. Our procedure is much simper than the previous ones in the sense that, it only involves two steps and the explicit expression of local general measurement used in the procedure can be obtained by solving a set of linear equations. Furthermore, this procedure is still applicable in high dimensional case.展开更多
W. Dur et al. have shown that it is impossible to obtain a GHZ state from one copy of arbitrary W-class state via local operations and classical communication (LOCC) [W. Dur, G. Vidal, and J.I. Cirac, Phys. Rev. A ...W. Dur et al. have shown that it is impossible to obtain a GHZ state from one copy of arbitrary W-class state via local operations and classical communication (LOCC) [W. Dur, G. Vidal, and J.I. Cirac, Phys. Rev. A 62 (2000) 062314]. In our paper, the more general case is carefully investigated. We first show that, with a supply of two copies of arbitrary W-class state, we can always construct an explicit procedure to distill a GHZ state with a nonzero probability. Then based on this result, a simple procedure for distilling GHZ state from n copies of arbitrary W-class state is presented. Finally, we briefly discuss the applications.展开更多
基金supported by National Natural Science Foundation of China under Grant No.10404039
文摘An explicit procedure for transforming one bipartite entangled state into another via local operations and classical communication (LOCC) is presented. Our procedure is much simper than the previous ones in the sense that, it only involves two steps and the explicit expression of local general measurement used in the procedure can be obtained by solving a set of linear equations. Furthermore, this procedure is still applicable in high dimensional case.
基金National Natural Science Foundation of China under Grant No.10404039
文摘W. Dur et al. have shown that it is impossible to obtain a GHZ state from one copy of arbitrary W-class state via local operations and classical communication (LOCC) [W. Dur, G. Vidal, and J.I. Cirac, Phys. Rev. A 62 (2000) 062314]. In our paper, the more general case is carefully investigated. We first show that, with a supply of two copies of arbitrary W-class state, we can always construct an explicit procedure to distill a GHZ state with a nonzero probability. Then based on this result, a simple procedure for distilling GHZ state from n copies of arbitrary W-class state is presented. Finally, we briefly discuss the applications.