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理论物理通讯：英文版

Revised Geometric Measure of Entanglement for Multipartite and Continuous Variable Systems

Cao, Ya Ya, Wang, An-Min

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

基于我们建议的纠纷(RGME ) 的修订几何措施[J。Phys。A：数学。Theor。40 (2007 ) 3507 ] ，我们面对噪音和二模式的挤压的热状态包括 three-qubit GHZ 状态， W 状态，和概括 Smolin 状态(GSS ) 获得多国参加的状态的 RGME。而且，我们把他们的 RGME 与纠纷(GME ) 和纠纷(RE ) 的相对的熵的几何措施作比较。结果显示 RGME 是纠纷的一项适当措施。最后，我们定义是一个纠缠的单调的 Gaussian GME。

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理论物理通讯：英文版•Jan 1, 2010•0 citations
基于我们建议的纠纷(RGME ) 的修订几何措施[J。Phys。A：数学。Theor。40 (2007 ) 3507 ] ，我们面对噪音和二模式的挤压的热状态包括 three-qubit GHZ 状态， W 状态，和概括 Smolin 状态(GSS ) 获得多国参加的状态的 RGME。而且，我们把他们的 RGME 与纠纷(GME ) 和纠纷(RE ) 的相对的熵的几何措施作比较。结果显示 RGME 是纠纷的一项适当措施。最后，我们定义是一个纠缠的单调的 Gaussian GME。
Based on the revised geometric measure of entanglement (RGME) proposed by us [J. Phys. A: Math. Theor. 40 (2007) 3507], we obtain the RGME of multipartite state including three-qubit GHZ state, W state, and the generalized Smolin state (GSS) in the presence of noise and the two-mode squeezed thermal state. Moreover, we compare their RGME with geometric measure of entanglement (GME) and relative entropy of entanglement (RE). The results indicate RGME is an appropriate measure of entanglement. Finally, we define the Gaussian GME which is an entangled monotone.
We present a revised geometric measure of entanglement (RGME) which is just certain generalization of geometric measure of entanglement (GME). The revised version is an entanglement monotone. Some useful inequalities about RGME are deduced. For example, we give the formulae of RGME for the two-parameter class of states in a 2 ⊗ n quantum system, the two particles' high dimensional maximally entangled mixed state, the isotropic state including the n -particle d-level case and two multipartite bound entangled states. The results show there is a relation , and then RGME is an appropriate measure of entanglement.