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.
On fully entangled fraction of arbitrary d⊗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⊗d bipartite systems. The fully entangled fractions for classes of d⊗d quantum states are analytically derived. Detailed examples are given to illustrate the advantages of our results.