title: Entanglement witness operator for quantum teleportation.
abstract: The ability of entangled states to act as a resource for teleportation is linked to a property of the fully entangled fraction. We show that the set of states with their fully entangled fraction bounded by a threshold value required for performing teleportation is both convex and compact. This feature enables the existence of Hermitian witness operators, the measurement of which could distinguish unknown states useful for performing teleportation. We present an example of such a witness operator illustrating it for different classes of states.
authors.affiliation: Department of Mathematics, Heritage Institute of Technology, Kolkata, West Bengal, India. nirmanganguly@gmail.com
authors.forename: Nirman
authors.initials: N
authors.lastname: Ganguly
authors.forename: Satyabrata
authors.initials: S
authors.lastname: Adhikari
authors.forename: A S
authors.initials: AS
authors.lastname: Majumdar
authors.forename: Jyotishman
authors.initials: J
authors.lastname: Chatterjee