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Journal of Atomic and Molecular Physics

A quantum splitting scheme of three-particle GHZ-class states

Pan Gui

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

A scheme is presented for splitting three-particle GHZ-class states by using two GHZ states as the quantum channel.We show that if the sender Alice knows the initial state in prior,she only needs to implement a two-qubit projective measurement for her two receivers Bob and Charlie to recover the original state via their mutual assistance.In the scheme,the success probability and classical communication cost is calculated.In general case,Alice can successfully split the state with probability 1/4 and the classical communication cost is 3/4 classical bit.However,in situations of five special states,the success probability of our scheme can be increased to 1/2 or even to 1 after consuming some extra classical bits.

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We propose a scheme for splitting a two-qubit quantum information by using two asymmetric W states as quantum channel. In this scheme the split state is assumed to be completely known by the sender. Because of this, during the splitting process, the sender only needs to perform a two-qubit projective measurement. Once the sender announces the measurement result in terms of the prior agreement, then using this message the two receivers can recover the quantum information via their mutual assistance. We calculate the success probability and classical communication cost of the scheme. In general, the splitting success probability (SSP) is 1/4 and the average classical communication cost is 0.25 bit. However, we find that for some states the SSP can reach 0.5 or even unity after consuming a little additional classical resource.
A quantum information splitting scheme of two-qubit state is proposed by using two asymmetric W states as quantum channel.It's showed that if the two-qubit state is known to the sender(Alice),then she can split quantum information and distribute it to the receivers(Bob and Charlie) by performing a two-qubit projective measurement.Bob and Charlie first perform a collective unitary operation on their qubits,and then Charlie can recover the initial quantum state by implementing two single-qubit unitary operations.So the scheme reduces greatly the measurement complexity.The success probability and classical communication cost are calculated within the scheme.
A scheme is presented for remote state preparation of three-particle GHZ-class states by using a Bell state and an asymmetric W state as the quantum channel. In the scheme, the success probability of preparation and classical communication cost are calculated. In general, Bob can successfully prepare the initial state with the probability 1/4 and consume 1/4 classical bits. However, in special situations the success probability of preparation can reach 1/2 or even 1 after consuming a little additional classical bits.
A scheme is proposed for remotely preparing a class of three-particle GHZ states by using a Bell state and a three-qubit GHZ state as the quantum channel. In the scheme, a two-qubit collective state measurement is performed and the necessary classical communication cost is 0.25 cbit on average. In general, the target state can be successfully prepared with the probability 1/4. However, if the state belongs to some special classes, the preparation success probability can reach 0.5 or even 1 after consuming a little additional classical resource. Comparing with the recent scheme [Opt. Commun.281, 871 (2008)], the present scheme has some advantages, e.g., the simpler quantum joint measurement and the less classical resource consumption.
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