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Journal of Physics A Mathematical and Theoretical

Joint remote preparation of an arbitrary two-qubit state via GHZ-type states

Kui Hou, Yi-Bao Li, Gou-Hong Liu, Shou-Qi Sheng

Published May 23, 2011• 43 citations
Publisher

Abstract

For M -sender independently share the classical knowledge of a quantum state, a scheme for joint remote preparation of an arbitrary two-qubit state by GHZ-type states as the quantum channel is presented. It is shown that the receiver can reconstruct the original state with certain probability under the condition that only and only if all the senders collaborate with each other. The single-qubit and two-qubit projective measurements are needed in our scheme. We also discuss some information-splitting methods which can make the receiver obtain the unknown state.

DOI
10.1088/1751-8113/44/25/255304

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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.
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I present a new scheme for probabilistic remote preparation of a general two-qubit state from a sender to either of two receivers. The quantum channel is composed of a partial entangled tripartite Greenberger—Horne—Zeilinger (GHZ) state and a W-type state. I try to realize the remote two-qubit preparation by using the usual projective measurement and the method of positive operator-valued measure, respectively. The corresponding success probabilities of the scheme with different methods as well as the total classical communication cost required in this scheme are also calculated.
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.