Improved Deterministic N-To-One Joint Remote Preparation of an Arbitrary Qubit via EPR Pairs

TL;DR

This paper improves existing joint remote state preparation protocols by achieving a deterministic success rate of 100% for arbitrary single-qubit states using EPR pairs, enhancing practicality and reliability.

Contribution

It introduces a new protocol with unit success probability for N-to-one JRSP, overcoming previous probabilistic limitations by designing specialized measurement bases.

Findings

Achieved deterministic success probability P_{suc}=1.

Designed two measurement bases: real-coefficient and complex-coefficient.

Protocol is flexible, practical, and suitable for real quantum networks.

Abstract

Recently, Bich et al. (Int. J. Theor. Phys. 51: 2272, 2012) proposed two deterministic joint remote state preparation (JRSP) protocols of an arbitrary single-qubit state: one is for two preparers to remotely prepare for a receiver by using two Einstein-Podolsky-Rosen (ERP) pairs; the other is its generalized form in the case of arbitrary N>2 preparers via N ERP pairs. In this paper, Through reviewing and analyzing Bich et al.'s second protocols with N>2 preparers, we find that the success probability P_{suc}=1/4 < 1. In order to solve the problem, we firstly constructed two sets of projective measurement bases: the real-coefficient basis and the complex-coefficient one, and further proposed an improved deterministic N-to-one JRSP protocol for an arbitrary single-qubit state with unit success probability (i.e, P_{suc}=1). Morever, our protocol is also flexible and convenient, and it can be used in a practical network.