We present an optical scheme to almost completely teleport a bipartite entangled coherent state using afour-partite cluster-type entangled coherent state as quantum channel.The scheme is based on optical elements such...We present an optical scheme to almost completely teleport a bipartite entangled coherent state using afour-partite cluster-type entangled coherent state as quantum channel.The scheme is based on optical elements suchas beam splitters,phase shifters,and photon detectors.We also obtain the average fidelity of the teleportation process.It is shown that the average fidelity is quite close to unity if the mean photon number of the coherent state is not toosmall.展开更多
The author reviews some recent developments in Chern-Simons theory on a hyperbolic 3-manifold M with complex gauge group G. The author focuses on the case of G = SL(N, C) and M being a knot complement: M = S^3\ K. The...The author reviews some recent developments in Chern-Simons theory on a hyperbolic 3-manifold M with complex gauge group G. The author focuses on the case of G = SL(N, C) and M being a knot complement: M = S^3\ K. The main result presented in this note is the cluster partition function, a computational tool that uses cluster algebra techniques to evaluate the Chern-Simons path integral for G = SL(N, C). He also reviews various applications and open questions regarding the cluster partition function and some of its relation with string theory.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.60708003the National Key Basic Research Program of China under Grant No.2006CB921604the Basic Key Program of Shanghai Municipality under Grant No.07JC14017
文摘We present an optical scheme to almost completely teleport a bipartite entangled coherent state using afour-partite cluster-type entangled coherent state as quantum channel.The scheme is based on optical elements suchas beam splitters,phase shifters,and photon detectors.We also obtain the average fidelity of the teleportation process.It is shown that the average fidelity is quite close to unity if the mean photon number of the coherent state is not toosmall.
基金supported by the U.S.Department of Energy(No.DE-SC0009988)
文摘The author reviews some recent developments in Chern-Simons theory on a hyperbolic 3-manifold M with complex gauge group G. The author focuses on the case of G = SL(N, C) and M being a knot complement: M = S^3\ K. The main result presented in this note is the cluster partition function, a computational tool that uses cluster algebra techniques to evaluate the Chern-Simons path integral for G = SL(N, C). He also reviews various applications and open questions regarding the cluster partition function and some of its relation with string theory.
