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Laser Physics

Joint remote preparation of an arbitrary two-qubit state via a generalized seven-qubit brown state

Qing-Qin Chen, Yan Xia

Published Nov 23, 2015• 18 citations
Publisher

Abstract

Abstract We propose a scheme to realise joint remote preparation of an arbitrary two-qubit state using a generalized seven-qubit brown state as a quantum channel. Generally, the success probability could reach 25% at least in theory. Interestingly, studies show that if the prepared state is a specific two-qubit state, the success probability will be improved up to 100%. We calculate the classical communication cost for the scheme as well.

DOI
10.1088/1054-660x/26/1/015203

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Abstract We propose a scheme to realise joint remote preparation of an arbitrary two-qubit state using a generalized seven-qubit brown state as a quantum channel. Generally, the success probability could reach 25% at least in theory. Interestingly, studies show that if the prepared state is a specific two-qubit state, the success probability will be improved up to 100%. We calculate the classical communication cost for the scheme as well.
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.
A scheme is proposed for remotely preparing a two-qubit state by using four-qubit cluster state as the quantum channel.In the scheme,the success probability of preparation and classical communication cost are calculated.In general,Bob can successfully prepare the target state with the probability 1/4 and consume only 1/4 bits classical communication.However,if the state belongs to six special situations,the success probability of preparation can reach 1/2 or even 1 after consuming some extra bits.
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.
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.