摘要
A group of symmetric operators are introduced to carry out the separability criterion for bipartite and multipartite quantum states. All the symmetric operators, represented by a symmetric matrix with only two nonzero elements, and their arbitrary linear combinations are found to be entanglement witnesses. By using these symmetric operators, Wootters＇ separability criterion for two-qubit states can be generalized to bipartite and multipartite systems in arbitrary dimensions.
A group of symmetric operators are introduced to carry out the separability criterion for bipartite and multipartite quantum states. All the symmetric operators, represented by a symmetric matrix with only two nonzero elements, and their arbitrary linear combinations are found to be entanglement witnesses. By using these symmetric operators, Wootters＇ separability criterion for two-qubit states can be generalized to bipartite and multipartite systems in arbitrary dimensions.
基金
Supported by the National Natural Science Foundation of China under Grant Nos 11174118, 11364022 and 11174026, and the Natural Science Foundation of Jiangxi Province under Grant No 20114BAB212003.
