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DEStech Transactions on Engineering and Technology Research

A Novel Scheme for Probabilistic Remote State Preparation Via Partially Four-qubit GHZ States

Yi-Qiong Xu, Yongwang Tang, Kekun GUO, Dong Xu, Lei Shi, Jiahua Wei, Huapeng Wang, Siyu Chen

Published Dec 8, 2017• 0 citations
Publisher

Abstract

An efficient proposal for probabilistic remote preparation of single-states is presented by using of four-qubit GHZ states without the introduction of auxiliary particles in this paper. It is noting that this scheme can be utilized to perform the remote state preparation when the information of the partially four-qubit GHZ state is only available for the sender. Some appropriate local unitary operations need to be introduced to improve the successful probability of the preparation, and the total probability is twice as much as the one of the previous proposals. Thus, our scheme can expand the research range of the preparation.

DOI
10.12783/dtetr/ismii2017/16684

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An efficient proposal for probabilistic remote preparation of single-states is presented by using of four-qubit GHZ states without the introduction of auxiliary particles in this paper. It is noting that this scheme can be utilized to perform the remote state preparation when the information of the partially four-qubit GHZ state is only available for the sender. Some appropriate local unitary operations need to be introduced to improve the successful probability of the preparation, and the total probability is twice as much as the one of the previous proposals. Thus, our scheme can expand the research range of the preparation.
本文提出了一种基于两个三粒子部分纠缠GHZ态的任意两粒子远程态制备方案。此制备协议并不需要引入辅助粒子，总体成功概率等于纠缠通道两个最小幅值模平方之积。结合具体幺正矩阵与测量基形式，本文给出了制备协议实现步骤。当纠缠通道取为两个最大纠缠GHZ态时，总体成功概率则等于1/4。 In this paper, we presented a novel scheme for probabilistic remote preparation of arbitrary two-qubit state via two three-qubit GHZ states. Any auxiliary particles need not to be introduced in our proposal. The total successful probability is equal to the square of the norm of the minimum amplitude coefficients of the partially entangled channel. The concrete processe of this scheme is presented via some appropriate local unitary operations and measurement basis. When quantum channel is composed of two three-qubit maximally entangled states, the successful probability is equal to 1/4.
We propose a novel and efficient scheme for probabilistic controlled remote state preparation of an arbitrary two-qubit quantum state with the aid of the introduction of auxiliary particles and some appropriate local unitary operations. In this scheme, two partially three-qubit entangled states are used as quantum channel. The controlled preparation with one sender, two receivers and one controller can be realized when the information of nonmaximally entangled states are only available for the sender. Furthermore, the concrete implementation processes of this proposal are presented, and the successful probability of our scheme are calculated in the general case and special case, respectively.
Using partial entangled states as the quantum channel, two schemes for probabilistic remote preparation of the four-particle cluster-type state with real and complex coefficients are presented. In the first scheme, the sender and the receiver share two partial Bell states and one partial three-qubit GHZ stats as the quantum channel, and the sender can help a remote receiver to prepare a four-particle entangled cluster-type state by using three-qubit projective measurements with certain probability. In the second scheme, the quantum channel is composed of two partial three-qubit GHZ states, the remote state preparation (RSP) can be successfully realized via the positive operator valued measure (POVM), and the two-particle projective measurements are also needed in this process. The total success probability and classical communication cost are calculated.
We propose a novel scheme to realize remote preparation of an arbitrary tripartite four-particle entangled state via two three-particle GHZ states as the quantum channel. In this scheme, the sender should employ several novel two-particle projective measurements on her particles. According to the sender’s measurement outcome, the receiver will carry out local unitary operations and suitable C-NOT gates on his particles to recover the desired state. It is shown that, in our scheme, the total successful probability of the RSP can reach 1.
In this paper, we put forward two novel schemes for probabilistic remote preparation of an arbitrary quantum state with the aid of appropriate local unitary operations when the sender and the receiver only have partial information of non-maximally entangled state, respectively. The concrete implementation procedures of the novel proposals are given in detail. Additionally, the physical realizations of our proposals are discussed based on the linear optics. Because of that neither the sender nor the receiver need to know fully the information of the partially entangled state, our schemes are useful to not only expand the application range of quantum entanglement, but also enlarge the research field of probabilistic remote state preparation (RSP).