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arXiv quant-ph/0407014quant-phcond-mat.othermath-phmath.MP
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腔QED与弱耦合量子计算

Cavity QED and Quantum Computation in the Weak Coupling Regime

Kazuyuki Fujii, Kyoko Higashida, Ryosuke Kato, Yukako Wada

摘要:

本文考虑了一个基于激光冷却的腔中线性囚禁的n个原子的量子计算模型,并将其实现为n个原子与n个外场的Tavis-Cummings哈密顿量相互作用。在n=2的情况下,我们求解了该模型的Schr{\”o}dinger方程,并利用共振条件和旋转波近似构造了受控非门.我们的方法不是启发式的,而是完全数学的,其显著特点是一致地使用Rabi振荡.在n=3的情况下,我们还提出了一种构造三个受控非门的思想,从而给出了受控-受控非门。

英文摘要:

In this paper we consider a model of quantum computation based on n atoms of laser-cooled and trapped linearly in a cavity and realize it as the n atoms Tavis-Cummings Hamiltonian interacting with n external (laser) fields. We solve the Schr{\" o}dinger equation of the model in the case of n=2 and construct the controlled NOT gate by making use of a resonance condition and rotating wave approximation associated to it. Our method is not heuristic but completely mathematical, and the significant feature is a consistent use of Rabi oscillations. We also present an idea of the construction of three controlled NOT gates in the case of n=3 which gives the controlled-controlled NOT gate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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