The applications of EPR steering in quantum teleportation for two- or three-qubit system

TL;DR

This paper explores how EPR steering, a quantum resource, can enhance quantum teleportation in two- and three-qubit systems by deriving bounds, identifying suitable states, and analyzing observable-fidelity relations.

Contribution

It introduces new bounds on teleportation fidelity based on EPR steering and analyzes the role of steerable states and observables in quantum teleportation.

Findings

EPR steering sets an upper bound on teleportation fidelity.

X-type states violating three-setting linear steering inequality are suitable for teleportation.

Steering observables and teleportation fidelities maintain consistent orderings in three-qubit states.

Abstract

EPR steering is an important quantum resource in quantum information and computation. In this paper, its applications in quantum teleportation are investigated. First of all, the upper bound of the average teleportation fidelity based on the EPR steering is derived. When the receiver can only perform the identity or the Pauli rotation operations, the X-type states which violate the three-setting linear steering inequality could be used for teleportation. In the end, the steering observables and the average teleportation fidelities of the two-qubit reduced states for three-qubit pure states maintain the same ordering. The complementary relations between the steerable observables and the average teleportation fidelities for three-qubit pure states are also established.