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Fuzhou daxue xuebao. Ziran kexue ban

Effective implementation of the two-atom controlled phase gate with the help of the cross-Kerr nonlinearity

Pei-Min Lu

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

We propose an effective protocol to direct implement the two-atom controlled phase gate with the cross-Kerr nonlinearity by interference of polarized photons.The protocol is based on optical elements,two Λ-type three-level atoms trappd in two distant cavities,cross-Kerr nonlinearity and the conventional photon detectors,which are feasible with existing experimental technology.The advantages of the protocol are that in Lamb-Dicke limit,the protocol do not require the simultaneous click of the detectors and has a high success probability.This makes the present protocol more realizable in experiments.

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We propose an effective protocol to direct implement the two-atom controlled phase gate with the cross-Kerr nonlinearity by interference of polarized photons.The protocol is based on optical elements,two Λ-type three-level atoms trappd in two distant cavities,cross-Kerr nonlinearity and the conventional photon detectors,which are feasible with existing experimental technology.The advantages of the protocol are that in Lamb-Dicke limit,the protocol do not require the simultaneous click of the detectors and has a high success probability.This makes the present protocol more realizable in experiments.
We propose a protocol to direct implement the two-qubit controlled phase gate with cross-Kerr nonlinearity by using the interference of polarized photons. The protocol is based on optical elements, single polarization photons, cross-Kerr nonlinearity and the conventional photon detectors, which are feasible with existing experimental technology. Compared with Zou's protocol ( Phys. Rev. 2007 A 75 034302), this protocol is to replace the entangled state resources used by Zou with much simpler single-photon resources and has a higher success probability. All these advantages make this protocol more efficient and more convenient than others in the applications in quantum communication.
In this paper, we propose a protocol for long-distance quantum teleportation of the unknown state of an atom trapped in an optical cavity to a second atom trapped in another distant optical cavity with the help of the cross-Kerr nonlinearity. The setup involves cavities QEDs and linear optical elements, which are feasible with existing experimental technology. More over, in Lame-Dicke limit, the protocol does not require the simultaneous click of the detectors. These make the protocol more realizable in experiments. We also show that the protocol can be successfully realized with a certain probability.
The controlled phase gate is one of the most important logic gates in the quantum computation field. In this paper, we proposed a protocol for implementing the two-qubit controlled phase gates with the help of cross-Kerr nonlinearity, optical elements and the conventional photon detectors, which are feasible with existing experimental technology. The protocol also can be applied to implement the controlled phase gates of many different atomic and photonic degrees of freedom with successful probability of 100%, that is, our protocol is efficient and flexible.
Schemes for two-qubit and three-qubit controlled gates based on cross-Kerr nonlinearity are proposed in this paper. The probability of the success of these gates can be increased by quantum nondemolition detectors, which are used to judge which paths the signal photons pass through. These schemes are almost deterministic and require no ancilla photon. The advantages of these gates over the existing ones include less resource consumption and a higher probability of success, which make our schemes more feasible with current technology.
We propose an effective protocol for preparation of four-photon polarization-entangled decoherence-free states with quantum nondemolition detectors. The protocol is based on optical elements, single polarization photons, and cross-Kerr nonlinearity, which are feasible with existing experimental technology. Compared with previous protocols, the present one is to replace the entangled-state resources with much simpler single-photon resources and has a higher success probability. All these advantages make this protocol more efficient and more convenient than others in the applications in quantum communication.