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International Journal of Quantum Information

Two novel schemes for probabilistic remote state preparation and the physical realization via the linear optics

Jiahua Wei, Hong‐Yi Dai, Ming Zhang, Le Yang, Jingsong Kuang

Published Feb 1, 2016• 3 citations
Publisher

Abstract

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).

DOI
10.1142/s0219749916500039

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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).
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.
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 introduce a multipartite communication scheme, with the aim to enable the senders to remotely and obliviously provide the receivers with an arbitrary amount of multipartite entanglement. The scheme is similar to remote state preparation (RSP). However, we show that even though the receivers are restricted to local unitary operations, the required resources for remote entanglement preparation are less than for RSP. In order to do so we introduce a canonical form of arbitrary multipartite pure states describing an arbitrary number of qubits. Moreover, we show that if the receivers are enabled to perform arbitrary local operations and classical communication, the required resources can drastically be reduced. We employ this protocol to derive robust entanglement purification protocols for arbitrary pure states and show that it can also be used for sending classical information.
In this paper, two efficient proposals are presented by using maximal slice states and orthogonal measurement basis to realize the joint remote state preparation (RSP) of two-qubit and three-qubit states, respectively. Furthermore, this kind of joint RSP schemes could be generalized to the case of arbitrary multi-qubit states, which can be transmitted from two senders to one receiver with the supervision of one manager. The successful probability of this joint RSP scheme is always equal to 100% in spite of that quantum channel is composed of non-maximally entangled states.
In this paper, two novel schemes for deterministic joint remote state preparation (JRSP) of arbitrary single- and two-qubit states are proposed. A set of ingenious four-particle partially entangled states are constructed to serve as the quantum channels. In our schemes, two senders and one receiver are involved. Participants collaborate with each other and perform projective measurements on their own particles under an elaborate measurement basis. Based on their measurement results, the receiver can reestablish the target state by means of appropriate local unitary operations deterministically. Unit success probability can be achieved independent of the channel's entanglement degree.