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Communications in Theoretical Physics

Preparation of n -Atom GHZ State and Implementation of Quantum-State Transfer via Cavity Decay

Chen Li-Bo, Du Qian-Hua, Lin Gong-Wei, Zhihua Chen, Xiu‐Min Lin

Published Mar 1, 2008• 1 citation
Publisher

Abstract

We propose schemes to prepare n-atom Greenberger–Horne–Zeilinger (GHZ) state via two-sided cavities interacting with single-photon pulses, and achieve quantum state transfer (QST) from one atom to another atom. Entanglement particle pair and the control of coupling between qubits are of no need in the QST process. Some practical quantum noises only decrease the success probabilities of the schemes but have no influence on the fidelity of prepared state. In addition, the success probabilities of our schemes are close to unity in the ideal case.

DOI
10.1088/0253-6102/49/3/29

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We propose schemes to prepare n-atom Greenberger–Horne–Zeilinger (GHZ) state via two-sided cavities interacting with single-photon pulses, and achieve quantum state transfer (QST) from one atom to another atom. Entanglement particle pair and the control of coupling between qubits are of no need in the QST process. Some practical quantum noises only decrease the success probabilities of the schemes but have no influence on the fidelity of prepared state. In addition, the success probabilities of our schemes are close to unity in the ideal case.
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.
The scheme was proposed to generate multiple-atom GHZ state via the state-of-the-art two-sided cavities.A single-photon pulse could not only be reflected but also be transmitted through the two-sided cavity with a single trapped atom,which is in certain state.Entanglement between the trapped atom and the input field was resulted in this property.The numerical simulations showed that the produced multiple-particle GHZ state had high fidelity and success probability.The intrinsic noise,such as the atomic spontaneous emission,only led to the error probability and had no influence on the fidelity.In addition,the high-Q cavity and the Lamb-Dicke condition of atom were not required,which expanded the possibility of experimental realization.
We present a physical scheme to teleport an unknown atomic entangled state via cavity decay. In the teleportation process, four-particle Greenberger–Horne–Zeilinger (GHZ) state is used as quantum channel, and two unknown entangled atoms and two of four atoms in the four-particle GHZ state are trapped in four leaky cavities, respectively. Based on the joint detection of the photons leak out from the four cavities, we can teleport an unknown entangled state to two other remote atoms with certain probability and high fidelity.