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Communications in Theoretical Physics

Generation of Four-Mode Cluster-Type Entangled Coherent States in Free-Traveling Optical Fields

Dai-Guo He, Yuli Dong, Fang Jian-Xing, Li Qian, Jie Hu

Published Mar 1, 2011• 3 citations
Publisher

Abstract

In this paper, we propose an optical scheme to generate four-mode cluster-type entangled coherent states (ECSs) in free traveling optical fields by using two single-photon sources, coherent state sources, beam splitters, photodetectors, cross-Kerr media, and phase shifters. And the success probability of the states preparation is calculated. At last we discuss the experimental feasibility of such proposal.

DOI
10.1088/0253-6102/55/3/11

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In this paper, we propose an optical scheme to generate four-mode cluster-type entangled coherent states (ECSs) in free traveling optical fields by using two single-photon sources, coherent state sources, beam splitters, photodetectors, cross-Kerr media, and phase shifters. And the success probability of the states preparation is calculated. At last we discuss the experimental feasibility of such proposal.
In this paper, we propose an optical scheme to generate four-mode W -type entangled coherent states (ECSs) in free travelling optical fields by using a single-photon source, coherent state sources, beam splitters, photodetectors and cross-Kerr media. Our scheme consists of a symmetric optical setup in which there are two Mach–Zehnder interferometers in which each arm contains a cross-Kerr medium. We calculate the average fidelity of generated W -type ECSs, the success probability of producing four-mode W -type ECSs and the average fidelity of the generated four-mode W -type ECSs. It is indicated that our protocol is nearly deterministic.
In this paper, we propose an optical scheme to generate three-mode W -type entangled coherent states (ECSs) in free-travelling optical fields by using a single-photon source, coherent state sources, beam splitters, photodetectors and cross-Kerr media. The success probability of our protocol approaches unity in the ideal case. We also analyse that our scheme can be generalized to produce other N -mode W -type ECSs ( N ≠ 2 n ) nearly deterministically through choosing the beam splitters with appropriate reflectance.
A scheme of generating the Bell-type and cluster-type entangled coherent states(ECSs) via a single two-level atom and cavity modes initially prepared in coherent states is proposed.Discussions on the two ECSs are presented.When the atom interacts separately with two Ramsey zones and two cavity modes,the generation of Bell-type ECSs in separate cavities is realized after an atomic measurement.By adding the Ramsey zones and cavity modes,the cluster-type ECSs can be generated.The interaction time between the atom and cavity modes are allπ/2λ,where A is the effective atom-cavity coupling constant. At last the experimental feasibility of such proposal is discussed.
Trio coherent states (TCSs) are non-Gaussian three-mode entangled states which can serve as a useful resource for continuous-variable quantum tasks, so their generation is of primary importance. Schemes exist to generate stable TCSs in terms of vibrational motion of a trapped ion inside a crystal. However, to perform quantum communication and distributed quantum computation the states should be shared beforehand among distant parties. That is, their modes should be able to be directed to different desired locations in space. In this work, we propose an experimental setup to generate such free-traveling TCSs in terms of optical fields. Our scheme uses standard physical resources, such as coherent states, balanced beam splitters, phase shifters, nonideal on-off photodetectors, and realistic weak cross-Kerr nonlinearities, without the need of single photons or homodyne or heterodyne measurements. We study the dependences of the fidelity of the state generated by our scheme with respect to the target TCS and the corresponding generation probability for the parameters involved. In theory, the fidelity could be nearly perfect for whatever weak nonlinearities $\ensuremath{\tau}$ and low photodetector efficiency $\ensuremath{\eta}$, provided that the amplitude $|\ensuremath{\alpha}|$ of an input coherent state is large enough, namely, $|\ensuremath{\alpha}|\ensuremath{\ge}5/(\sqrt{\ensuremath{\eta}}\ensuremath{\tau})$.