Entanglement of formation and concurrence for mixed states

GAO Xiuhong; SERGIO Albeverio; CHEN Kai; FEI Shaoming; LI-JOST Xianqing

doi:10.1007/s11704-008-0017-8

Front. Comput. Sci. ›› 2008, Vol. 2 ›› Issue (2) :114 -127. DOI: 10.1007/s11704-008-0017-8

Entanglement of formation and concurrence for mixed states

GAO Xiuhong¹, SERGIO Albeverio², CHEN Kai³, FEI Shaoming⁴, LI-JOST Xianqing⁵

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Abstract

We review some results on analytical computations of the measures for quantum entanglement: entanglement of formation and concurrence. We introduce some estimations of the lower bounds for the entanglement of formation in bipartite mixed states, and of lower bounds for the concurrence in bipartite and tripartite systems. The results on lower bounds for the concurrence are also generalized to arbitrary multipartite systems.

Keywords

entanglement of formation / concurrence / lower bound

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GAO Xiuhong, SERGIO Albeverio, CHEN Kai, FEI Shaoming, LI-JOST Xianqing. Entanglement of formation and concurrence for mixed states. Front. Comput. Sci., 2008, 2(2): 114-127 DOI:10.1007/s11704-008-0017-8