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Acta Sinica Quantum Optica

Joint Remote Preparation of an Arbitrary Three-qubit State Via Generalized Bell States Channel

Yun‐Jie Xia

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

In this paper,a scheme for realizing a joint remote preparation of an arbitrary three-qubit state is researched.The scheme adopts generalized Bell states as quantum channels,each preparer measures his/her qubits in an appropriate basis and broadcasts through a public classical communication channel the measurement outcome based on which the receiver carries out necessary actions.By introducing an auxiliary particle and making selective measurement on it,the receiver can reconstruct the desired state with probability less than unity.The result shows that by using different type of generalized Bell states channel,the probability of joint remote preparation of an arbitrary three-qubit state is the same.While the generalized Bell states channel is maximally entangled,the joint remote preparation obtains the maximall total success probability.

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Probabilistic Remote State Preparation of an Arbitrary Two-Qubit State via Two Three-Qubit Partially Entangled States

毅琼 徐

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.

Modern Physics•Jan 1, 2017•0 citations
In this paper,a scheme for realizing a joint remote preparation of an arbitrary three-qubit state is researched.The scheme adopts generalized Bell states as quantum channels,each preparer measures his/her qubits in an appropriate basis and broadcasts through a public classical communication channel the measurement outcome based on which the receiver carries out necessary actions.By introducing an auxiliary particle and making selective measurement on it,the receiver can reconstruct the desired state with probability less than unity.The result shows that by using different type of generalized Bell states channel,the probability of joint remote preparation of an arbitrary three-qubit state is the same.While the generalized Bell states channel is maximally entangled,the joint remote preparation obtains the maximall total success probability.
We present two schemes for joint remote preparation of an arbitrary four-qubit j\c{hi}i -type entangled state via three three- and (N+1)-qubit GHZ states as the quantum channel, respectively. In these schemes, two senders (or N senders) share the original state which they wish to help the receiver to remotely prepare. To complete the JRSP schemes, several novel sets of mutually orthogonal basis vectors are introduced. It is shown that, only if two senders (or N senders) collaborate with each other, and perform projective measurements under suitable measuring basis on their own qubits respectively, the receiver can reconstruct the original state by means of some appropriate unitary operations and suitable C-NOT gates. Compared with the previous schemes for the JRSP of four-qubit |\c{hi}>-type state, the advantages of the present schemes are that the total successful probability of JRSP can reach 1 and the entanglement resource can be reduced
We present two schemes for preparing remotely a three-particle entangled state by two different quantum channels. In the first scheme, two partial three-particle entangled states are used as the quantum channels, while in the second scheme, three two-particle non-maximally entangled states are employed as the quantum channels. It is shown that the remote state preparation can be successfully realized with certain probability, for both two schemes, if a sender performs some projective measurements and a receiver adopts some appropriate unitary transformations. It is shown also that the successful probabilities of these two schemes are different.
We firstly present a novel scheme for deterministic joint remote state preparation of an arbitrary five-qubit Brown state using four Greenberg—Horme—Zeilinger (GHZ) entangled states as the quantum channel. The success probability of this scheme is up to 1, which is superior to the existing ones. Moreover, the scheme is extended to the generalized case where three-qubit and four-qubit non-maximally entangled states are taken as the quantum channel. We simultaneously employ two common methods to reconstruct the desired state. By comparing these two methods, we draw a conclusion that the first is superior to the second-optimal positive operator-valued measure only taking into account the number of auxiliary particles and the success probability.
We present a scheme for remotely preparing an arbitrary two-qubit pure state by using two bipartite partially entangled states as the quantum channel, the scheme is then generalized to the arbitrary three-qubit case. For the two cases of remote state preparation, we construct two different efficient projective measurement bases at sender's side and calculate the corresponding success probabilities. It is shown that remote preparation of the two-qubit or three-qubit state can be probabilistically achieved with unity fidelity. Moreover, for some special ensembles of the initial states, we find that the success probability of preparation can be increased to four times for two-qubit states and eight times for three-qubit states, and is equal to one in the case of the maximal entanglement resources.
In this paper, we propose a novel scheme for deterministic joint remote state preparation (JRSP) of an arbitrary five-qubit Brown state with the assistance of several GHZ entangled states and a two-qubit unitary operation. A useful solution of joint remote preparation of an arbitrary three-qubit state is put forward firstly. Next, all senders perform appropriate projective measurement under suitable measurement basis. Finally, based on their measurement results, the target five-qubit Brown state can be prepared by introducing two auxiliary particles and making appropriate local unitary operations with success probability 1.
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.