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Journal of Physics B Atomic Molecular and Optical Physics

One-step implementation of a swap gate with coherent-state qubits via atomic ensemble large detuning interaction with two-mode cavity quantum electrodynamics

Xiao‐Qiang Shao, Li Chen, Shou Zhang

Published Dec 2, 2008• 12 citations
Publisher

Abstract

We present a scheme to implement the coherent-state qubit SWAP gate. The scheme uses an atomic ensemble consisting of a three-level atom large detuning interacting with a two-mode field. Both situations, with and without cavity decay, are considered. We discuss the advantages and the experimental feasibility of our scheme.
DOI
10.1088/0953-4075/41/24/245502

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A two-qubit quantum swap gate scheme based on coherent state qubit is proposed in cavity quantum electrodynamics system. Our scheme adopt the interaction between the Λ-type atomic ensemble and the two-mode optical cavity, and the swap gate can be realized directly only one step, so as to save a lot of quantum resources and reduce the number of single qubit rotation operations in the actual quantum information processing. It is found that under the condition of large detuning limit, the excited states of atoms are adiabatically eliminated, and the decoherence caused by the spontaneous emission of atoms is effectively suppressed. All atoms in the optical cavity are universally addressed, which reduces the experimental operation difficulty of the scheme. The fidelity of the quantum logic gate is maintained at a very high level when the photon loss of the cavity field is considered. Compared with the single-atom scheme, it is found that the atom-cavity interaction time required by the atomic ensemble scheme is inversely proportional to the number of atoms, so that the speed of the quantum logic gate can be increased by N times. Therefore, in principle, as long as enough atoms interacting with the optical field, an effective coupling of any atom-cavity field can be generated, which is conducive to selecting the appropriate quantum gate operation time in practical operation and effectively avoiding decoherence.
Feasible schemes for implementing quantum swap gates of both coherent-state qubits and photonic qubits are proposed using a Λ-type atomic ensemble trapped in a bimodal optical cavity. In both protocols, the decoherence from atomic spontaneous emission is negligible due to the fact that the excited states of the atoms are adiabatically eliminated under large detuning condition and the swap gates can be created in a single step. In our schemes, the required atoms—cavity interaction time decreases with the increase of the number of atoms, which is very important in view of decoherence. The experimental feasibilities of the schemes are also discussed.
A scheme is proposed for the realization of quantum SWAP gate in cavity QED.We consider two three-level atoms simultaneously interact with single-mode cavity in the case of large detuning.Moreover,two classical fields are used to perform the rotations on atoms.The operation and implement course are simple and handy.In addition,during the whole course,the cavity is only virtually excited,thus the decoherence time is greatly prolonged and the demand on the quality factor of the cavity is greatly reduced.Within the present cavity QED techniques,the scheme is realizable.
Based on the cavity quantum electrodynamics (CQED), we propose two schemes for realization of basic quantum information processing tasks, i.e., constructing a quantum SWAP gate directly and preparation for entangled coherent states. In the present paper, we show that the quantum swap gates of photonic qubits can be implemented only by one step with a three-level Λ-type atom trapped in a bimodal optical cavity. The purpose for the direct construction of swap gates is to save a great many quantum resources in practical quantum information processing and reduce the number of required unitary operation. For the latter, we obtain the entangled coherent states via the large detuning interaction, in the process of the unitary evolution of dressed states. This scheme provides a suitable cavity QED to prepare quantum entanglement for researchers, and provides a wider horizon for the generation of quantum entanglement based on cavity QED, which, to some extent, possesses reference value and guiding effect in the experiment, and the quantum entanglement can be used for the potential application in the quantum information and quantum communication in the future.