论文标题

量子计算机将如何在量子化学中提供与工业相关的计算优势?

How will quantum computers provide an industrially relevant computational advantage in quantum chemistry?

论文作者

Elfving, V. E., Broer, B. W., Webber, M., Gavartin, J., Halls, M. D., Lorton, K. P., Bochevarov, A.

论文摘要

许多报道声称,量子优势应作为量子计算机出现的直接结果出现,这将预示化学研究的新时代,因为它将使科学家能够执行以前无法实现的量子化学模拟。量子计算机上的这种模拟预计将对我们可以探索现实,预测化学实验的结果,甚至推动药物,催化剂和材料的设计产生很大的影响。在这项工作中,我们回顾了量子硬件和算法理论的当前状态,并检查有关量子优势的这种流行主张是否真的会变革。我们经历了量子化学研究的微妙并发症,这些并发症在涉及量子计算机的讨论中往往会被忽略。我们估计对几种类型的分子进行化学精度进行计算所需的量子计算机资源。特别是,我们直接比较了分子的经典和量子计算机相关的资源和时机,用于增加基础尺寸的分子h $ _2 $,以及在CASCI和CASSCF方法范围内的各种完整的活动空间(CAS)的Cr $ _2 $。铬二聚体获得的结果使我们能够估计量子计算机上非动力相关性计算的活动空间的大小,而与经典计算机上的类似计算相比,量子计算机上的计算应花费的时间少。使用此结果,我们推测使用量子计算机在短期内与工业应用既有益又相关的化学应用类型。

Numerous reports claim that quantum advantage, which should emerge as a direct consequence of the advent of quantum computers, will herald a new era of chemical research because it will enable scientists to perform the kinds of quantum chemical simulations that have not been possible before. Such simulations on quantum computers, promising a significantly greater accuracy and speed, are projected to exert a great impact on the way we can probe reality, predict the outcomes of chemical experiments, and even drive design of drugs, catalysts, and materials. In this work we review the current status of quantum hardware and algorithm theory and examine whether such popular claims about quantum advantage are really going to be transformative. We go over subtle complications of quantum chemical research that tend to be overlooked in discussions involving quantum computers. We estimate quantum computer resources that will be required for performing calculations on quantum computers with chemical accuracy for several types of molecules. In particular, we directly compare the resources and timings associated with classical and quantum computers for the molecules H$_2$ for increasing basis set sizes, and Cr$_2$ for a variety of complete active spaces (CAS) within the scope of the CASCI and CASSCF methods. The results obtained for the chromium dimer enable us to estimate the size of the active space at which computations of non-dynamic correlation on a quantum computer should take less time than analogous computations on a classical computer. Using this result, we speculate on the types of chemical applications for which the use of quantum computers would be both beneficial and relevant to industrial applications in the short term.

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