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arXiv 2009.06702quant-ph
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从脉冲到电路再返回:变分量子算法的量子最优控制视角

From pulses to circuits and back again: A quantum optimal control perspective on variational quantum algorithms

Alicia B. Magann, Christian Arenz, Matthew D. Grace, Tak-San Ho, Robert L. Kosut, Jarrod R. McClean, Herschel A. Rabitz, Mohan Sarovar

摘要:

过去十年,量子技术的发展取得了显著进展。虽然容错设备可能还需要几年的时间,但今天嘈杂的中等规模量子设备可能会被用于其他目的。领先的候选者是变分量子算法(VQA),它已被开发用于包括化学,优化和机器学习在内的应用,但其在量子设备上的实现尚未表现出对经典功能的改进。在这个角度来看,我们提出了各种方式,VQA的性能可以通过量子最优控制理论。为了设置阶段,我们确定VQA和量子最优控制的变分优化的配方在电路级和脉冲级,分别,其中这些只代表两个层次,在更广泛的层次,我们考虑的抽象。在这个统一的图片中,我们提出了几种不同层次的抽象可以连接的方式,以促进量子最优控制理论的应用,以VQA的挑战与随机选择,优化景观,噪声和鲁棒性。贯穿始终的一个主要主题是VQA实现中需要足够的控制资源;我们讨论了这种需求可以体现的不同方式,概述了各种开放性问题,并展望了未来。

英文摘要:

The last decade has witnessed remarkable progress in the development of quantum technologies. Although fault-tolerant devices likely remain years away, the noisy intermediate-scale quantum devices of today may be leveraged for other purposes. Leading candidates are variational quantum algorithms (VQAs), which have been developed for applications including chemistry, optimization, and machine learning, but whose implementations on quantum devices have yet to demonstrate improvements over classical capabilities. In this Perspective, we propose a variety of ways that the performance of VQAs could be informed by quantum optimal control theory. To set the stage, we identify VQAs and quantum optimal control as formulations of variational optimization at the circuit level and pulse level, respectively, where these represent just two levels in a broader hierarchy of abstractions that we consider. In this unified picture, we suggest several ways that the different levels of abstraction may be connected, in order to facilitate the application of quantum optimal control theory to VQA challenges associated with ansatz selection, optimization landscapes, noise, and robustness. A major theme throughout is the need for sufficient control resources in VQA implementations; we discuss different ways this need can manifest, outline a variety of open questions, and conclude with a look to the future.

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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