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Journal of Physics B Atomic Molecular and Optical Physics

Joint remote state preparation of arbitrary two- and three-qubit states

Xiao-Qi Xiao, Jin‐Ming Liu, Guihua Zeng

Published Mar 16, 2011• 104 citations
Publisher

Abstract

We present a scheme for joint remote preparation of an arbitrary two-qubit pure state in a probabilistic manner from a spatially separated multi-sender to one receiver; the scheme is then extended to the arbitrary three-qubit case. We show that by adding some classical communication and local operations, the success probability of preparation can be increased to four times for two-qubit states and eight times for three-qubit states, and can reach one under certain conditions.

DOI
10.1088/0953-4075/44/7/075501

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We present a scheme for joint remote preparation of an arbitrary two-qubit pure state in a probabilistic manner from a spatially separated multi-sender to one receiver; the scheme is then extended to the arbitrary three-qubit case. We show that by adding some classical communication and local operations, the success probability of preparation can be increased to four times for two-qubit states and eight times for three-qubit states, and can reach one under certain conditions.
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.
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Abstract We present two schemes for the joint remote state preparation (JRSP) of an arbitrary tripartite four-qubit entangled state with complex coefficients via four and two three-qubit GHZ states as the quantum channel, respectively. In these schemes, the two senders share the original state which they wish to help the receiver remotely prepare. To complete the JRSP schemes, some novel sets of mutually orthogonal basis vectors are introduced. It is shown that, only if the two senders collaborate with each other, and perform projective measurements under a suitable measuring basis on their own qubits respectively, can the receiver reconstruct the original state by means of some appropriate unitary operations. We demonstrate, in our both schemes, the total success probability of the JRSP can reach 1. Moreover, compared with the first scheme in this paper, the advantage of the second scheme is that the entanglement resource can be reduced.