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Journal of Physics B Atomic Molecular and Optical Physics

Generation of cluster-type entangled coherent states

Li Tang

Published Mar 30, 2009• 9 citations
Publisher

Abstract

We propose a method of generating cluster-type entangled coherent states (CTECS) using several single-mode cavities and an electron trapped in a moving quantum dot, assisted with a sequence of π/2 pulses on the electron. After the realization of simple electronic measurement, a series of CTECS representing nonlocal electromagnetic fields of cavities have been generated. Furthermore, we investigate the nonlocal properties of the generated CTECS based on the GHZ–Mermin argument.

DOI
10.1088/0953-4075/42/8/085502

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Comment on ‘Generation of cluster-type entangled coherent states’

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We rectify some errors in the scheme of generating cluster-type entangled coherent states (CTECS) proposed by Tang (2009 J. Phys. B: At. Mol. Opt. Phys. 42 085502) in this comment. Furthermore, we find that no system can successfully generate CTECS by Tang's method.

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Reply to Comment on ‘Generation of cluster-type entangled coherent states’

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We respond to the criticism of our paper 'Generation of cluster-type entangled coherent states'. In the original paper, we remove the explicit time dependence from the interaction Hamiltonian by transforming to a rotating frame for the field operators, which is also done to quantum dots embedded in a microcavity (Djuric and Search 2007 Phys. Rev. B 75 155307). We thank Wei Haihong and Wang Faqiang for pointing out that cluster-type entangled coherent states (CTECS) cannot be obtained with the original time-dependent Hamiltonian under certain parameter condition ? |?|. For the original field operators, we present a new method to generate CTECS in the same system.

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We propose a method of generating cluster-type entangled coherent states (CTECS) using several single-mode cavities and an electron trapped in a moving quantum dot, assisted with a sequence of π/2 pulses on the electron. After the realization of simple electronic measurement, a series of CTECS representing nonlocal electromagnetic fields of cavities have been generated. Furthermore, we investigate the nonlocal properties of the generated CTECS based on the GHZ–Mermin argument.
We present a generation scheme for the cluster‐type entangled coherent state (CTECS) among four spatially separated cavities. CTECS is a continuous variable extension, proposed by Munhoz et al. [1], of the qubits‐based cluster state, which is known to be the basis of one‐way quantum computing model. In this work we show how such generation could be achieved in a simple way. We consider two types of interaction between atoms and the quantized cavity field; the first one using a three‐level atom, described by the degenerate Raman coupled model and the second one using the dispersive two‐level Jaynes‐Cummings model. Besides the flying atom, which interacts with the four cavities, the scheme also uses one or two Ramsey Zones (depending on the type of atom), where a classical field transforms the atom's internal energy levels in an appropriate way. After crossing the cavities, the atom has to be measured, and CTECS are generated irrespective of the atomic detection result. In addition to the generation scheme, we also study the effect of energy dissipation on the CTECS. Explicit equations for the time dependent density operator and the purity are given.
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.
We respond to the criticism of our paper 'Generation of cluster-type entangled coherent states'. In the original paper, we remove the explicit time dependence from the interaction Hamiltonian by transforming to a rotating frame for the field operators, which is also done to quantum dots embedded in a microcavity (Djuric and Search 2007 Phys. Rev. B 75 155307). We thank Wei Haihong and Wang Faqiang for pointing out that cluster-type entangled coherent states (CTECS) cannot be obtained with the original time-dependent Hamiltonian under certain parameter condition ? |?|. For the original field operators, we present a new method to generate CTECS in the same system.