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Communications in Theoretical Physics

Speed Geometric Quantum Logical Gate Based on Double-Hamiltonian Evolution under Large-Detuning Cavity QED Model

Changyong Chen, Liu Zong-Liang, Shuai Kang, Shaohua Li

Published Oct 1, 2010• 0 citations
Publisher

Abstract

We introduce the double-Hamiltonian evolution technique approach to investigate the unconventional geometric quantum logical gate with dissipation under the model of many identical three-level atoms in a cavity, driven by a classical field. Our concrete calculation is made for the case of two atoms for the large-detuning interaction of the atoms with the cavity mode. The main advantage of our scheme is of eliminating the photon flutuation in the cavity mode during the gating. The corresponding analytical results will be helpful for experimental realization of speed geometric quantum logical gate in real cavities.

DOI
10.1088/0253-6102/54/4/18

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We introduce the double-Hamiltonian evolution technique approach to investigate the unconventional geometric quantum logical gate with dissipation under the model of many identical three-level atoms in a cavity, driven by a classical field. Our concrete calculation is made for the case of two atoms for the large-detuning interaction of the atoms with the cavity mode. The main advantage of our scheme is of eliminating the photon flutuation in the cavity mode during the gating. The corresponding analytical results will be helpful for experimental realization of speed geometric quantum logical gate in real cavities.
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We introduce a general displacement operator to investigate the unconventional geometric quantum computation with dissipation under the model of many identical three-level atoms in a cavity, driven by a classical field. Our concrete calculation is made for the case of two atoms, based on a previous scheme [S.-B. Zheng, Phys. Rev. A 70, 052320 (2004)] for the large-detuning interaction of the atoms with the cavity mode. The analytical results we present will be helpful for experimental realization of geometric quantum computation in real cavities.
We propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift with atoms in a cavity. In the scheme the atoms interact simultaneously with a highly detuned cavity mode and a classical field. The atoms undergo no transitions during the gate operation, while the cavity mode is displaced along a circle in the phase space, aquiring a geometric phase conditional upon the atomic state. Under certain conditions, the atoms are disentangled with the cavity mode and thus the gate is insensitive to both the atomic spontaneous emission and the cavity decay.
Using two cyclic three-level artificial atoms, we propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift in a cavity. In this scheme, the excited states of the two artificial atoms are adiabatically eliminated, and the logical gates' operation only involves their metastable states. Moreover, under certain conditions, the artificial atoms are disentangled with the cavity mode. Thus the gate is insensitive to both the cavity decay and the spontaneous emission of the artificial atoms.
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.