Two-step deterministic remote preparation of an arbitrary quantum state in the whole Hilbert space

TL;DR

This paper introduces a two-step exact remote state preparation protocol for arbitrary quantum states using a GHZ state, applicable to higher-dimensional systems, requiring only local operations and classical communication.

Contribution

The paper presents a novel two-step protocol for remote quantum state preparation that generalizes to higher dimensions and simplifies the process with single-particle measurements.

Findings

Protocol works for arbitrary qubits and higher-dimensional systems

Requires only local measurements and classical communication

Divides quantum information into parts at different locations

Abstract

We present a two-step exact remote state preparation protocol of an arbitrary qubit with the aid of a three-particle Greenberger-Horne-Zeilinger state. Generalization of this protocol for higher-dimensional Hilbert space systems among three parties is also given. We show that only single-particle von Neumann measurement, local operation and classical communication are necessary. Moreover, since the overall information of the quantum state can be divided into two different parts, which may be at different locations, this protocol may be useful in the quantum information field.