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Physical Review A

Simple scheme for generating an n -qubit W state in cavity QED

Zhi Jiao Deng, Mang Feng, K. Gao

Published Jan 18, 2006• 83 citations
Publisher

Abstract

A simple scheme is proposed to generate an $n$-qubit $W$ state in cavity QED. Conditioned on no photon leakage from the cavity, the $n$-qubit $W$ state can be generated by resonant interaction between atoms and the cavity if the cavity is initially prepared in the single-photon state and all the atoms are in the ground states. We check the time evolution of the system involving decay, and show that, since the required interaction time is very short, with present cavity QED techniques, the success probability of our scheme is almost unity.

DOI
10.1103/physreva.73.014302

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A simple scheme is proposed to generate an nnn-qubit WWW state in cavity QED. Conditioned on no photon leakage from the cavity, the nnn-qubit WWW state can be generated by resonant interaction between atoms and the cavity if the cavity is initially prepared in the single-photon state and all the atoms are in the ground states. We check the time evolution of the system involving decay, and show that, since the required interaction time is very short, with present cavity QED techniques, the success probability of our scheme is almost unity.
A scheme is proposed to generate W state of N atoms trapped in a cavity, based on adiabatic passage along dark state. Taking advantage of adiabatic passage, the atoms have no probability of being excited and thus the atomic spontaneous emission is suppressed. The scheme is simple. It does not need to adjust the interaction time accurately, and does not need to prepare the cavity field in one-photon state. Numerical simulation shows that the successful probability of the scheme increases with the increasing of the atom number.
A simple scheme is presented for generating n atom W states with the two-photon resonant interaction between atoms and cavity field.In the proposed protocol,it is injected a two-level atom initially prepared in the excited state through the cavity prepared in the vacuum state.The other two-level atoms prepared in the ground state are injected into cavity.Because the interaction between the atoms and cavity field is resonant,the coupling strength can be relatively strong which will shorten the corresponding interaction time and thus reduce the effect of decoherence in experiment.
A simple scheme is proposed to generate the W state of N λ-type neutral atoms trapped in an optical cavity via Raman transition. Conditional on no photon leakage from the cavity, the N -qubit W state can be prepared perfectly by turning on a classical coupling field for an appropriate time. Compared with the previous ones, our scheme requires neither individual laser addressing of the atoms, nor demand for controlling N atoms to go through an optical cavity simultaneously with a constant velocity. We investigate the influence of cavity decay using the quantum jump approach and show that the preparation time decreases and the success probability increases with atom number because of a collective enhancement of the coupling.