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arXiv:0810.0869 · Physical Review A

Upper bound of the fully entangled fraction

Ming Li, Shao-Ming Fei, Zhi‐Xi Wang

Published Sep 26, 2008• 22 citations
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Abstract

We study the fully entangled fraction of quantum states. An upper bound is obtained for arbitrary dimensional bipartite systems. This bound is shown to be exact for the case of two-qubit systems. An inequality related the fully entangled fraction of two qubits in a three-qubit mixed state has been also presented.
DOI
10.1103/physreva.78.032332

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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.
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