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Chinese Physics B

Scheme for implementing perfect remote state preparation with W -class state in cavity QED

Wang Xue-Wen, Peng Zhao-Hui

Published Jul 1, 2008• 4 citations
Publisher

Abstract

In this paper we present a remote state preparation scheme with a three-qubit W -class state in cavity QED. It has been shown that a special single-qubit state and a special two-qubit entangled state can be remotely prepared perfectly. Furthermore, the classical information cost in this scheme is less than that in the corresponding teleportation scheme and only a single-qubit projective measurement is made by the sender. We also generalize this idea to the multiqubit W -class state.

DOI
10.1088/1674-1056/17/7/004

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In this paper we present a remote state preparation scheme with a three-qubit W -class state in cavity QED. It has been shown that a special single-qubit state and a special two-qubit entangled state can be remotely prepared perfectly. Furthermore, the classical information cost in this scheme is less than that in the corresponding teleportation scheme and only a single-qubit projective measurement is made by the sender. We also generalize this idea to the multiqubit W -class state.
In this paper, a scheme is proposed for remote state preparation (RSP) with cavity quantum electrodynamics (QED). In our scheme, two observers share two-atom nonmaximally entangled state as quantum channels and can realize remote preparation of state of an atom. We also propose a generalization for remote preparation of N -atom entangled state by ( N +1)-atom GHZ-like state ( N ≥ 2). By this scheme, one single-atom projective measurement is enough for the RSP of a qubit or N -atom entangled state, and the probability of success for RSP is unity. Furthermore, we have considered the case where observers use W-like state as quantum channels to realize RSP of a qubit. We compare our scheme with existing ones.
In this paper we consider a scheme for probabilistic remote state preparation of a general qubit by using W states. The scheme consists of the sender, Alice and two remote receivers Bob and Carol. Alice performs a projective measurement on her qubit in the basis spanned by the state she wants to prepare and its orthocomplement. This allows either Bob or Carol to reconstruct the state with finite success probability. It is shown that for some special ensembles of qubits, the remote state preparation scheme requires only two classical bits, unlike the case in the scheme of quantum teleportation where three classical bits are needed.
We present a scheme for remotely preparing an arbitrary two-qubit pure state by using two bipartite partially entangled states as the quantum channel, the scheme is then generalized to the arbitrary three-qubit case. For the two cases of remote state preparation, we construct two different efficient projective measurement bases at sender's side and calculate the corresponding success probabilities. It is shown that remote preparation of the two-qubit or three-qubit state can be probabilistically achieved with unity fidelity. Moreover, for some special ensembles of the initial states, we find that the success probability of preparation can be increased to four times for two-qubit states and eight times for three-qubit states, and is equal to one in the case of the maximal entanglement resources.
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.
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.