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arXiv:0709.0010 · Journal of Physics B Atomic Molecular and Optical Physics

Generation of a 4-qubit cluster of entangled coherent states in bimodal QED cavities

E. M. Becerra-Castro, Wesley Bueno Cardoso, Ardiley Torres Avelar, B. Baseia

Published Apr 7, 2008• 28 citations
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Abstract

We propose a scheme to generate a 4-qubit cluster of entangled coherent states in bimodal QED cavities. The scheme employs a single two-level atom that interacts dispersively with cavity modes initially prepared in coherent states. The fidelity and success probability of the state preparation are obtained considering the influence of atomic velocity spread and atomic efficiency detection. The scheme is also generalized for higher order cluster states.

DOI
10.1088/0953-4075/41/8/085505

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We propose a scheme to generate a 4-qubit cluster of entangled coherent states in bimodal QED cavities. The scheme employs a single two-level atom that interacts dispersively with cavity modes initially prepared in coherent states. The fidelity and success probability of the state preparation are obtained considering the influence of atomic velocity spread and atomic efficiency detection. The scheme is also generalized for higher order cluster states.
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We propose a physical scheme for generating a two-atom cluster state through the simultaneous interaction of two two-level atoms with a single-mode cavity field prepared initially in an odd-coherent state under a large-detuned limit. The influence of the dissipation constant, the intensity of the field and the imperfect manipulation on the preparation scheme are investigated. It is shown that when the intensity of the cavity is large enough, the influence of the cavity decay is efficiently suppressed. The possible error in the implementation of the cluster state is negligible when the time difference between two atoms crossing the cavity axis is small. It is suggested that the scheme can be realized by current technologies.
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We propose two schemes to generate the two-dimensional $2\ifmmode\times\else\texttimes\fi{}N$ and $3\ifmmode\times\else\texttimes\fi{}N$ cluster states by using a chain of (two-level) Rydberg atoms in the framework of cavity QED. These schemes work in a completely deterministic way and are based on the resonant interaction of the atoms in a chain with a bimodal cavity that supports two independent modes of the photon field. We demonstrate that a $2\ifmmode\times\else\texttimes\fi{}N$ cluster state can be generated efficiently with only a single bimodal cavity, while two such cavities are needed to produce a $3\ifmmode\times\else\texttimes\fi{}N$ cluster state. It is shown, moreover, how these schemes can be extended toward the generation of $M\ifmmode\times\else\texttimes\fi{}N$ two-dimensional cluster states.
We propose an optical scheme to generate cluster states of atomic qubits, with each trapped in separate optical cavity, via atom-cavity-laser interaction. The quantum information of each qubit is encoded on the degenerate ground states of the atom, hence the entanglement between them is relatively stable against spontaneous emission. A single-photon source and two classical fields are employed in the present scheme. By controlling the sequence and time of atom-cavity-laser interaction, we show that the atomic cluster states can be produced deterministically.