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Multiple Entropy Measures for Multi-particle Pure Quantum State

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【Author】 LIU Dan~(1,2) ZHAO Xin~2 and LONG Gui-Lu 1 School of Science, Dalian Nationalities University, Dalian 116600, China 2 Key Laboratory for Atomic and Molecular NanoSciences and Department of Physics, Tsinghua University, Beijing 100084, China 3 Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing 100084, China

【机构】 School of Science,Dalian Nationalities University； Key Laboratory for Atomic and Molecular NanoSciences and Department of Physics,Tsinghua University； Tsinghua National Laboratory for Information Science and Technology,Tsinghua University；

【摘要】 <正> We propose to use a set of averaged entropies, the multiple entropy measures （MEMS）, to partiallyquantify quantum entanglement of multipartite quantum state.The MEMS is vector-like with m = [N/2] components:[S₁, S₂,..., S_m], and the i-th component S_i is the geometric mean of i-qubits partial entropy of the system.The S_imeasures how strong an arbitrary i qubits from the system are correlated with the rest of the system.It satisfies theconditions for a good entanglement measure.We have analyzed the entanglement properties of the GHZ-state, theW-states, and cluster-states under MEMS.更多还原

【Abstract】 We propose to use a set of averaged entropies, the multiple entropy measures （MEMS）, to partially quantify quantum entanglement of multipartite quantum state.The MEMS is vector-like with m = [N/2] components: [S₁, S₂,..., S_m], and the i-th component S_i is the geometric mean of i-qubits partial entropy of the system.The S_i measures how strong an arbitrary i qubits from the system are correlated with the rest of the system.It satisfies the conditions for a good entanglement measure.We have analyzed the entanglement properties of the GHZ-state, the W-states, and cluster-states under MEMS.更多还原

【关键词】 MEMS； entanglement measure； multiple entropy measures；
【Key words】 MEMS； entanglement measure； multiple entropy measures；

【基金】 Supported by the National Natural Science Foundation of China under Grant Nos.10775076,10874098 (GLL);the 973 Program 2006CB921106 (XZ); the SRFDP Program of Education Ministry of China under Gtant No.20060003048; the Fundamental Research Funds for the Central Universities,DC10040119 (DL)

【文献出处】 Communications in Theoretical Physics ,理论物理通讯(英文版) , 编辑部邮箱 ,2010年11期

【分类号】O431.2
【被引频次】6
【下载频次】13

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