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Acta Sinica Quantum Optica

Probabilistic Remote Preparation of Multipartite GHZ Class State

Shou Zhang

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Two schemes for probabilistic remote preparation of N-particle Greenberger-Horne-Zeilinger(GHZ) class state are presented by using a partially entangled(N +1)-particle GHZ state as quantum channel.The remote preparation for an arbitrary state with complex parameters α and β is taken into account.Moreover,the total success probability and classical communication cost are calculated.

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Two schemes for probabilistic remote preparation of N-particle Greenberger-Horne-Zeilinger(GHZ) class state are presented by using a partially entangled(N +1)-particle GHZ state as quantum channel.The remote preparation for an arbitrary state with complex parameters α and β is taken into account.Moreover,the total success probability and classical communication cost are calculated.
We propose a remote state preparation (RSP) scheme of three-particle Greenberger–Horne–Zeilinger (GHZ) class states, where quantum channels are composed of two maximally entangled states. With the aid of forward classical bits, the preparation of the original state can be successfully realized with the probability 1/2, the necessary classical communication cost is 0.5 bit on average. If the state to be prepared belongs to some special states, the success probability of preparation can achieve 1 after consuming one extra bit on average. We then generalize this scheme to the case that the quantum channels consist of two non-maximally entangled states.
We propose a new remote state preparation process- After the sender measures her particles，adopting the new process，the receiver can greatly reduce the classical communication cost- With a partial entangled three-particle Greenberger-Horne-Zeilinger (GHZ) state and a partial entangled two-particle state as the quantum channel，we present a scheme for preparing remotely a three-particle GHZ state- Taking this scheme as an example， we show how to use this process in detail and present the application range of this process- Analysis shows: only one classical bit is required for remote preparation of the three-particle GHZ state by using this process-
A remote state preparation(RSP) scheme of a three-qubit Greenberger Horne Zeilinger(GHZ) class state was proposed by using three two-qubit maximally entangled states as the quantum channel.The success probability of preparation and classical communication cost were calculated.Generally speaking,according to Alice's classical message,with probability 1/4 Bob could successfully prepare the GHZ state.However,for three kinds of special states,the success probability of preparation could be increased to 1.0 after consuming some extra bits.Then the scheme was deterministic.
This paper presents a scheme for probabilistic remote preparation of a three-particle entangled Greenberger- Horne-Zeilinger (GHZ) state via three-particle orthonormal basis projective measurement, and then directly generalize the scheme to multi-particle case. It is shown that by using N pairs of bipartite non-maximally entangled states as the quantum channel and N -particle orthonormal basis projective measurement, the multi-particle remote preparation can be successfully realized with a certain probability.
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.
Using partial entangled states as the quantum channel, two schemes for probabilistic remote preparation of the four-particle cluster-type state with real and complex coefficients are presented. In the first scheme, the sender and the receiver share two partial Bell states and one partial three-qubit GHZ stats as the quantum channel, and the sender can help a remote receiver to prepare a four-particle entangled cluster-type state by using three-qubit projective measurements with certain probability. In the second scheme, the quantum channel is composed of two partial three-qubit GHZ states, the remote state preparation (RSP) can be successfully realized via the positive operator valued measure (POVM), and the two-particle projective measurements are also needed in this process. The total success probability and classical communication cost are calculated.