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Chinese Physics B

High efficient scheme for remote state preparation with cavity QED

Li Deng, Ai-Xi Chen, Xu Yan-Qiu

Published Oct 1, 2008• 5 citations
Publisher

Abstract

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.

DOI
10.1088/1674-1056/17/10/032

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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 propose three schemes for remotely state preparation (RSP) an arbitrary two-level one-atom state via cavity quantum electro dynamics (QED) with minimal resources consumption. In the first case, a Greenberger–Horne–Zeilinger (GHZ) state is used as quantum channel; in the second case, the sender needs to construct an quantum channel with both of the assistant of cavity QED and the knowledge about the state to be remotely prepared. In each scheme, only 1 cbit and 1 ebit are needed with the aid of cavity QED. In the third case, we combine the first two protocols and give a theoretical proposal for controlled RSP with only 2 cbits and 1 ebit resources consumption.
We present two schemes for realizing the remote preparation of a Greenberger–Horne–Zeilinger (GHZ) state. The first scheme is to remotely prepare a general N -particle GHZ state with two steps. One is to prepare a qubit state by using finite classical bits from sender to receiver via a two-particle entangled state, and the other is that the receiver introduces N — 1 additional particles and performs N — 1 controlled-not (C-Not) operations. The second scheme is to remotely prepare an N -atom GHZ state via a two-atom entangled state in cavity quantum electrodynamics (QED). The two schemes require only a two-particle entangled state used as a quantum channel, so we reduce the requirement for entanglement.
We propose a novel scheme to realize remote preparation of an arbitrary tripartite four-particle entangled state via two three-particle GHZ states as the quantum channel. In this scheme, the sender should employ several novel two-particle projective measurements on her particles. According to the sender’s measurement outcome, the receiver will carry out local unitary operations and suitable C-NOT gates on his particles to recover the desired state. It is shown that, in our scheme, the total successful probability of the RSP can reach 1.
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.
Inspired by the idea of Wang and Yan's,i.e.,a two-step exact remote state preparation(RSP) of an arbitrary qubit,the remote preparation of arbitrary two-qubit state was studied.In the scheme,two non-maximally entangled GHZ states act as quantum channels.The sender Alice divides the full information encoded in known state into two parts,one purely real coefficient and the other purely real phase factor. After twice projective measurements and the transmission of 4-bit classical information by Alice,the remote receiver Bob can obtain the desired state with the success probability 4|βγ|~2 which is higher than that in Liu's protocol and it is also the advantage of our scheme,because only two-qubit state in real.Hilbert space or equatorial-like state can reach this success probability value in Liu's protocol.