On Estimation of Fully Entangled Fraction

Abstract

We study the fully entangled fraction (FEF) of arbitrary mixed states. New upper bounds of FEF are derived. These upper bounds make complements on the estimation of the value of FEF. For weakly mixed quantum states, an upper bound is shown to be very tight to the exact value of FEF.

8 pages, 2 figures

References in corpus (4)

• The operational meaning of min- and max-entropy
• A Factorization Law for Entanglement Decay
• Evolution of entanglement for quantum mixed states
• Upper bound of the fully entangled fraction

Cited by in corpus (9)

• Entanglement witness operator for quantum teleportation
• Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation
• Complete Entanglement Witness for Quantum Teleportation
• An Upper Bound of Fully Entangled Fraction of Mixed States
• Construction of optimal teleportation witness operators from entanglement witnesses
• Absolute fully entangled fraction from spectrum
• Teleportation criteria based on maximum eigenvalue of the shared $d\otimes d$ dimenional mixed state: Beyond Singlet Fraction
• Fidelity of entanglement and quantum entropies: unveiling their relationship in quantum states and channels
• On fully entangled fraction and quantum conditional entropies for states with maximally mixed marginals