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arXiv 1406.6572quant-ph
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利用最优控制制备谐振子的任意量子态

Arbitrary quantum-state preparation of a harmonic oscillator via optimal control

Katharina Rojan, Daniel M. Reich, Igor Dotsenko, Jean-Michel Raimond, Christiane P. Koch, Giovanna Morigi

备注：
12 pages, 8 figures, 1 table
发表信息：
Phys. Rev. A 90, 023824 (2014)
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摘要：

量子系统的有效初始化是量子技术应用的先决条件。本文证明了利用Jaynes-Cummings与单个二能级系统的相互作用可以有效地制备谐振子的几类量子态。这通过适当地定制驱动偶极子和/或振荡器的外部场来实现。基于Krotov方法的最优控制理论（OCT）的时间相关的动态，导致目标状态的识别。巴黎ENS小组的实验参数可以达到低于$10^{-4}$的不稳定性，其中振子是高Q微波腔的模式，偶极子是原子的里德伯跃迁。对于这种特定的情况下，我们分析了由于参数波动的保真度的限制，并确定强大的动力学的基础上使用合奏OCT发现的脉冲。我们的分析可以扩展到量子态准备在其他平台上，如捕获离子和电路QED的连续变量系统。

英文摘要：

The efficient initialization of a quantum system is a prerequisite for quantum technological applications. Here we show that several classes of quantum states of a harmonic oscillator can be efficiently prepared by means of a Jaynes-Cummings interaction with a single two-level system. This is achieved by suitably tailoring external fields which drive the dipole and/or the oscillator. The time-dependent dynamics that leads to the target state is identified by means of Optimal Control Theory (OCT) based on Krotov's method. Infidelities below $10^{-4}$ can be reached for the parameters of the experiment of the ENS group in Paris, where the oscillator is a mode of a high-Q microwave cavity and the dipole is a Rydberg transition of an atom. For this specific situation we analyze the limitations on the fidelity due to parameter fluctuations and identify robust dynamics based on pulses found using ensemble OCT. Our analysis can be extended to quantum-state preparation of continuous-variable systems in other platforms, such as trapped ions and circuit QED.

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