Generalized Remote Preparation of Arbitrary $m$-qubit Entangled States via Genuine Entanglements

TL;DR

This paper introduces a new protocol for remote preparation of arbitrary multi-qubit entangled states using genuine tripartite entanglement, significantly improving success probabilities over previous methods.

Contribution

The authors develop a general five-step protocol utilizing novel collective unitaries for remote state preparation with higher success rates.

Findings

Success probability increased four-fold for two-qubit states

Success probability increased eight-fold for three-qubit states

Protocol is general, efficient, and applicable to various entangled states

Abstract

Herein, we present a feasible, general protocol for quantum communication within a network via generalized remote preparation of an arbitrary $m$-qubit entangled state designed with genuine tripartite Greenberger--Horne--Zeilinger-type entangled resources. During the implementations, we construct novel collective unitary operations; these operations are tasked with performing the necessary phase transfers during remote state preparations. We have distilled our implementation methods into a five-step procedure, which can be used to faithfully recover the desired state during transfer. Compared to previous existing schemes, our methodology features a greatly increased success probability. After the consumption of auxiliary qubits and the performance of collective unitary operations, the probability of successful state transfer is increased four-fold and eight-fold for arbitrary two- and three-qubit entanglements when compared to other methods within the literature, respectively. We conclude this paper with a discussion of the presented scheme for state preparation, including: success probabilities, reducibility and generalizability.