JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels

TL;DR

This paper proposes a scheme for joint remote state preparation of three-particle states using GHZ entangled states in noisy quantum channels, analyzing success probabilities and effects of different noise types on fidelity.

Contribution

It introduces a novel JRSP scheme utilizing tripartite GHZ states and provides analytical insights into noise effects on the protocol's fidelity.

Findings

Success probability can be increased from 1/8 to 1 with special cases.

Depolarizing noise causes more information loss than phase-damping noise in certain conditions.

Amplitude damping noise results in the least information loss among the considered noise types.

Abstract

We present a scheme for joint remote state preparation (JRSP) of three-particle state via three tripartite Greenberger-Horne-Zeilinger (GHZ) entangled states as the quantum channel linking the parties. We use eight-qubit mutually orthogonal basis vector as measurement point of departure. The likelihood of success for this scheme has been found to be $1/8$. However, by putting some special cases into consideration, the chances can be ameliorated to $1/4$ and $1$. The effects of amplitude-damping noise, phase-damping noise and depolarizing noise on this scheme have been scrutinized and the analytical derivations of fidelities for the quantum noisy channels have been presented. We found that for $0.55\leq\eta\leq1$, the states conveyed through depolarizing channel lose more information than phase-damping channel while the information loss through amplitude damping channel is most minimal.