Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Quantum Information

Probabilistic controlled remote state preparation of an arbitrary two-qubit state via partially entangled states with multi parties

Jiahua Wei, Lei Shi, Zhiyan Xu, Yanhui Ni, Zhongxiang Han, Qingqing Hu, Jun Jiang

Published Dec 8, 2017• 13 citations
Publisher

Abstract

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.

DOI
10.1142/s0219749918500016

Related papers

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

Remote preparation of an entangled two-qubit state with three parties

Hong‐Yi Dai, Ping‐Xing Chen, Ming Zhang +1 more

We present a scheme for probabilistic remote preparation of an entangled two-qubit state with three parties from a sender to either of two receivers. The quantum channel is composed of a partially entangled two-qubit state and a partially entangled three-qubit state. We calculate the successful total probabilities of the scheme in general and particular cases, respectively. We also calculate total classical communication cost in a general case and two particular cases, respectively.

Chinese Physics B•Jan 1, 2008•61 citations

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

Yi-Qiong Xu, Yongwang Tang, Kekun GUO +5 more

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.

DEStech Transactions on Engineering and Technology Research•Dec 8, 2017•0 citations

Remote preparation of arbitrary two- and three-qubit states

Jin‐Ming Liu, Xun‐Li Feng, C. H. Oh

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.

Europhysics Letters (EPL)•Aug 1, 2009•77 citations

Multiparty probabilistic controlled joint remote preparation of an arbitrary m-qudit equatorial state with a pure entangled quantum channel

Yonghong Li, Liang-Ming He, Ping Zhou

The quantum equatorial state, a special kind of quantum state, has attracted much attention because of its potential for applications in quantum information processing. The remote preparations of arbitrary two-qudit, three-qudit equatorial and m-qudit equatorial states have been studied via different entangle quantum channels. In this paper, we propose two protocols for the controlled joint remote preparation of an arbitrary m-qudit equatorial state with a pure entangled quantum channel. The first is for the controlled joint remote preparation of the m-qudit equatorial state by using m multiparticle GHZ-class states as the quantum channel, and the second is for the controlled joint remote preparation of the m-qudit equatorial state via a multiparticle entangled state. All senders share information about the prepared state and perform m-particle projective measurements on their entangled particles according to their information about the prepared state. All controllers perform generalized X-basis measurements on their entangled particles. If a receiver cooperates with all the senders and controllers, he can prepare the original state probabilistically by performing unitary operations on his entangled particles and an auxiliary qubit. This protocol is more convenient for applications because it only requires nonmaximal entanglement for the controlled joint remote preparation of an arbitrary m-qudit equatorial state.

Zhongguo kexue. Wulixue Lixue Tianwenxue•Apr 1, 2021•0 citations

Probabilistic Remote Preparation of a Three-Particle Entangled State via Two Different Non-maximally Entangled Channels

You-Bang Zhan, Wang Yu-wu

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.

Communications in Theoretical Physics•Sep 1, 2007•9 citations
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.
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.
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.
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.
The quantum equatorial state, a special kind of quantum state, has attracted much attention because of its potential for applications in quantum information processing. The remote preparations of arbitrary two-qudit, three-qudit equatorial and m-qudit equatorial states have been studied via different entangle quantum channels. In this paper, we propose two protocols for the controlled joint remote preparation of an arbitrary m-qudit equatorial state with a pure entangled quantum channel. The first is for the controlled joint remote preparation of the m-qudit equatorial state by using m multiparticle GHZ-class states as the quantum channel, and the second is for the controlled joint remote preparation of the m-qudit equatorial state via a multiparticle entangled state. All senders share information about the prepared state and perform m-particle projective measurements on their entangled particles according to their information about the prepared state. All controllers perform generalized X-basis measurements on their entangled particles. If a receiver cooperates with all the senders and controllers, he can prepare the original state probabilistically by performing unitary operations on his entangled particles and an auxiliary qubit. This protocol is more convenient for applications because it only requires nonmaximal entanglement for the controlled joint remote preparation of an arbitrary m-qudit equatorial state.
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.