Quantum Teleportation of Single Qubit Mixed Information State with Werner-Like State as Resource

TL;DR

This paper investigates quantum teleportation of single qubit mixed states using Werner-like states as resources, analyzing fidelity dependence on state purity and resource entanglement, revealing limitations for mixed states.

Contribution

It extends previous pure state teleportation results to mixed states and Werner-like resources, providing a comprehensive fidelity analysis.

Findings

Fidelity depends on the information state's purity and resource entanglement.

For pure states, fidelity is independent of the information state.

Mixed states achieve less than perfect fidelity even with ideal entanglement.

Abstract

In this paper we extend our recent results for quantum teleportation of single qubit pure information state using non-maximally entangled pure state resource [Quantum Inf Process, 11 (2012) 1251] to the case of a general mixed information state and mixed Werner states resource. Fidelity is found dependent on information state in general. We minimize it over all possible information states and maximize it over possible unitary transformations which can be done by the receiver to obtain a value dependent on purity of information state and mixing parameter of Werner states. For pure information state, this value of fidelity is independent of information and for mixed information states it is less than unity even for perfect entangled resource. The latter result is in contrast to the case of pure states.