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Entanglement conditions for four-mode states via the uncertainty relations in conjunction with partial transposition |
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| Authors: | Lijun Song Xiaoguang Wang Dong Yan Yongda Li |
| Affiliation: | (1) School of Science, Changchun University of Science and Technology, Changchun, 130022, P.R.China;(2) Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, HangZhou, 310027, P.R.China;(3) Institute of Applied Physics, Changchun University, Changchun, 130022, P.R.China;(4) School of Science, Lanzhou University of Technology, Lanzhou, 730050, P.R.China |
| Abstract: | From the Heisenberg uncertainty relation in conjunction with partial transposition, we derive a class of inequalities for detecting entanglements in four-mode states. The sufficient conditions for bipartite entangled states are presented. We also discuss the generalization of the entanglement conditions via the Schrödinger-Robertson indeterminacy relation, which are in general stronger than those based on the Heisenberg uncertainty relation. |
| Keywords: | entanglement conditions Heisenberg uncertainty relation Schr?dinger-Robertson indeterminacy relation four-mode states partial transposition |
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