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Journal of Modern Optics

Efficient and flexible protocol for implementing two-qubit controlled phase gates with cross-Kerr nonlinearity

Yi‐Hao Kang, Yan Xia, Pei-Min Lu

Published Jan 20, 2014• 4 citations
Publisher

Abstract

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.

DOI
10.1080/09500340.2013.877610

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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.
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.
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.
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 a linear optical scheme to implement the nondeterministic two-qubit controlled phase gate with the certain success probability. The proposed setup involves simple linear optical elements, a pair of the two-photon polarization entangled states, and the conventional photon detectors that only distinguish the vacuum and nonvacuum Fock number states. A sophisticated single-photon detector distinguishing one or two photon states is unnecessary. This can greatly simplify the experimental realization of a linear optical quantum computer.
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.
A scheme is proposed to directly implement a controlled Z gate for two remote photonic qubits based on the weak cross-Kerr nonlinearity and intense coherent states of light. The distributed controlled Z gate can be used to achieve the remote creation of entangled states and can be extended to perform distributed quantum computation. The distinct advantage of the present scheme in contrast with the existing schemes is that ancilla single-photons are not needed. The total success probability and fidelity of the present controlled Z gate can approach unit in principle. We investigate photon losses of the qubus beam during the transmission and decoherence effects in the quantum gate caused by such photon losses. The scheme uses only basic tools in quantum optical laboratories and can be implemented in the regime of weak cross-Kerr nonlinearities. Therefore this makes us more confident in the feasibility of the proposed scheme.