Upper bound of the fully entangled fraction
Ming Li, Shao-Ming Fei, and Zhi-Xi Wang
TL;DR
This paper derives an upper bound for the fully entangled fraction in bipartite quantum systems, providing exact results for two-qubit states and establishing related inequalities for three-qubit mixed states.
Contribution
It introduces a new upper bound for the fully entangled fraction applicable to arbitrary bipartite systems, with exact results for two-qubit cases and inequalities for three-qubit states.
Findings
Upper bound is exact for two-qubit systems.
An inequality relating fully entangled fractions in three-qubit states.
Applicable to arbitrary dimensional bipartite quantum systems.
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.
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