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Journal of Physics B Atomic Molecular and Optical Physics

Efficient implementation of the two-qubit controlled phase gate with cross-Kerr nonlinearity

Yan Xia, Jie Song, Pei-Min Lu, He‐Shan Song

Published Jan 12, 2011• 28 citations
Publisher

Abstract

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.

DOI
10.1088/0953-4075/44/2/025503

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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.