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Chinese Physics Letters

Joint Remote State Preparation of a Four-Dimensional Quantum State

Peng Jia-yin, Ming-Qiang Bai, Zhiwen Mo

Published Jan 1, 2014• 25 citations
Publisher

Abstract

We present several protocols for joint remote state preparation of a single(two)-quadbit state with real (or complex) coefficients via a projective or positive operator-valued measure. In our schemes, three(five)-quadbit non-maximally entangled state(s) have been employed as the quantum channel and several appropriate mutually orthogonal basis are delicately constructed. Finally, the present schemes are extended to the (N + M) senders' case.

DOI
10.1088/0256-307x/31/1/010301

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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.
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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.