Probabilistic teleportation via a non-maximally entangled GHZ state

TL;DR

This paper proposes a probabilistic quantum teleportation scheme using a non-maximally entangled GHZ state, detailing the measurement procedures and calculating the maximum success probability.

Contribution

It introduces a novel probabilistic teleportation protocol with specific measurement strategies and success probability optimization for non-maximally entangled GHZ states.

Findings

Success probability formula derived

Maximum success probability obtained

Protocol details for generalized measurements

Abstract

We present a scheme for probabilistic teleportation via a non-maximally entangled GHZ state. Quantum teleportation will succeed with a certain probability if the sender makes a generalized Bell state measurement, the cooperator performs a generalized $X$ basis measurement, and the receiver introduces an auxiliary particle, performs a collective unitary transformation and makes a measurement on the auxiliary particle. The success probability of the teleportation is given. We also obtain the maximum of the success probability of the teleportation.