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arXiv:1605.08641 · Communications in Theoretical Physics

An Upper Bound of Fully Entangled Fraction of Mixed States*

Xiaofen Huang, Naihuan Jing, Tinggui Zhang

Published Jun 1, 2016• 12 citations
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Abstract

Abstract We study the fully entangled fraction of a quantum state. An upper bound is obtained for arbitrary bipartite system. This upper bound only depends on the Frobenius norm of the state.
DOI
10.1088/0253-6102/65/6/701

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On fully entangled fraction of arbitrary d⊗dd\otimes dd⊗d quantum states
We study the fully entangled fraction of quantum states based on the Bloch representation of density matrices. Analytical upper bounds on the fully entangled fraction are obtained for arbitrary d⊗dd\otimes dd⊗d bipartite systems. The fully entangled fractions for classes of d⊗dd\otimes dd⊗d quantum states are analytically derived. Detailed examples are given to illustrate the advantages of our results.