论文标题

量子计算机上的微型典型和有限温度的分子动力学模拟

Microcanonical and finite temperature ab initio molecular dynamics simulations on quantum computers

论文作者

Sokolov, Igor O., Barkoutsos, Panagiotis Kl., Moeller, Lukas, Suchsland, Philippe, Mazzola, Guglielmo, Tavernelli, Ivano

论文摘要

从头算分子动力学(AIMD)是预测分子和冷凝物质系统特性的强大工具。该过程的质量基于准确的电子结构计算。量子处理器的开发显示出有效评估分子系统的准确地面和激发状态能量的巨大潜力,从而为分子动力学模拟开辟了新的途径。在这项工作中,我们介绍了使用变异量子算法来计算在AIMD中使用的精确原子力的方法。特别是,我们提供解决方案,以减轻与测量能量和力的预期值相关的统计噪声,以及缓解硬件噪声源的方案(尤其是栅极不忠,Qubit Decoridition,Qubit Decolience and Qubit decorence and Reffors)。尽管势能的计算中存在相对较大的误差,但我们的结果表明,所提出的算法可以在微域(恒定能)集合中提供可靠的MD轨迹。此外,利用量子测量过程引起的固有噪声,我们还提出了一种langevin动力学算法,以模拟规范,即恒温,动力学。算法(微域和规范)都应用于简单分子系统(例如H2和H3+)的模拟。最后,我们还提供了使用IBM量子计算机IBMQ_ATHENS获得的H2动力学的结果。

Ab initio molecular dynamics (AIMD) is a powerful tool to predict properties of molecular and condensed matter systems. The quality of this procedure is based on accurate electronic structure calculations. The development of quantum processors has shown great potential for the efficient evaluation of accurate ground and excited state energies of molecular systems, opening up new avenues for molecular dynamics simulations. In this work we address the use of variational quantum algorithms for the calculation of accurate atomic forces to be used in AIMD. In particular, we provide solutions for the alleviation of the statistical noise associated to the measurements of the expectation values of energies and forces, as well as schemes for the mitigation of the hardware noise sources (in particular, gate infidelities, qubit decoherence and readout errors). Despite the relative large error in the calculation of the potential energy, our results show that the proposed algorithms can provide reliable MD trajectories in the microcanonical (constant energy) ensemble. Further, exploiting the intrinsic noise arising from the quantum measurement process, we also propose a Langevin dynamics algorithm for the simulation of canonical, i.e., constant temperature, dynamics. Both algorithms (microcanonical and canonical) are applied to the simulation of simple molecular systems such as H2 and H3+. Finally, we also provide results for the dynamics of H2 obtained with IBM quantum computer ibmq_athens.

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