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Chinese Physics B

Probabilistic remote preparation of a high-dimensional equatorial multiqubit with four-party and classical communication cost

Hong‐Yi Dai, Ming Zhang, Ju-Mei Chen, Cheng-Zu Li

Published May 1, 2011• 7 citations
Publisher

Abstract

This paper presents a protocol for probabilistic remote preparation of a high-dimensional equatorial multiqubit with four-party, consisting of a sender and three receivers. The quantum channel is composed of a partial entangled high-dimensional four-particle state. We calculate the successful total probability and the total classical communication cost required for this scheme. It is shown that both the entangled resources and classical communication cost are greatly reduced.

DOI
10.1088/1674-1056/20/5/050310

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This paper presents a protocol for probabilistic remote preparation of a high-dimensional equatorial multiqubit with four-party, consisting of a sender and three receivers. The quantum channel is composed of a partial entangled high-dimensional four-particle state. We calculate the successful total probability and the total classical communication cost required for this scheme. It is shown that both the entangled resources and classical communication cost are greatly reduced.
A scheme for probabilistic remotely preparing N-particle d-dimensional equatorial entangled states via entangled swapping with three parties is presented. The quantum channel is composed of N – 1 pairs of bipartite d-dimensional non-maximally entangled states and a tripartite d-dimension non-maximally entangled state. It is shown that the sender can help either of the two receivers to remotely prepare the original state, and the N-particle projective measurement and the generalized Hadamard transformation are needed in this scheme. The total success probability and classical communication cost are calculated.
We present a scheme for probabilistic remote preparation of a tripartite qutrit entangled state with a partial tripartite qutrit entangled state and a partial bipartite qutrit entangled state as the quantum channel. It is found that a bipartite qutrit orthogonal projective measurement, an auxiliary qutrit particle, and the corresponding unitary transformation are required. A scheme for probabilistic remote preparation of a tripartite qudit equatorial entangled state by using a partial tripartite qudit entangled state and a partial bipartite qudit entangled state as the quantum channel is also proposed. We calculate the successful total probability and the total classical communication cost required in the RSP process, respectively.
We present a protocol for probabilistic remote preparation of a four-particle entangled W state. The quantum channel is composed of two partial entangled four-particle cluster states. We calculate the total successful probability and total classical communication cost required for the general case and for all kinds of the special cases, respectively. It is shown that for two maximally entangled four-particle cluster states, such a scheme for the general case has the total successful probability of 25% and only consumes the total classical communication of 1 bit, while this scheme for the special cases under certain conditions can possess successful probability of 50% or 100%, the required classical communication will only be 2 bits or 4 bits. Meantime, we give in detail all unitary transformations for the general case and for all kinds of the special cases, respectively.
We present a scheme for probabilistic remote preparation of the four-particle entangled W state by using four partial entangled two-particle states as the quantum channel. In this scheme, if Alice (sender) performs four-particle projective measurements and Bob (receiver) adopts some appropriate unitary operation, the remote state preparation can be successfully realized with certain probability. The classical communication cost is also calculated. However, the success probability of preparation can be increased to 1 for four kinds of special states.