A Comprehensive Cross-Model Framework for Benchmarking the Performance of Quantum Hamiltonian Simulations

Avimita Chatterjee, Sonny Rappaport, Anish Giri, Sonika Johri, Timothy Proctor, David E. Bernal Neira, Pratik Sathe, Thomas Lubinski
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Abstract

Quantum Hamiltonian simulation is one of the most promising applications of quantum computing and forms the basis for many quantum algorithms. Benchmarking them is an important gauge of progress in quantum computing technology. We present a methodology and software framework to evaluate various facets of the performance of gate-based quantum computers on Trotterized quantum Hamiltonian evolution. We propose three distinct modes for benchmarking: (i) comparing simulation on a real device to that on a noiseless classical simulator, (ii) comparing simulation on a real device with exact diagonalization results, and (iii) using scalable mirror circuit techniques to assess hardware performance in scenarios beyond classical simulation methods. We demonstrate this framework on five Hamiltonian models from the HamLib library: the Fermi and Bose-Hubbard models, the transverse field Ising model, the Heisenberg model, and the Max3SAT problem. Experiments were conducted using Qiskit's Aer simulator, BlueQubit's CPU cluster and GPU simulators, and IBM's quantum hardware. Our framework, extendable to other Hamiltonians, provides comprehensive performance profiles that reveal hardware and algorithmic limitations and measure both fidelity and execution times, identifying crossover points where quantum hardware outperforms CPU/GPU simulators.
量子哈密顿模拟性能基准的综合跨模型框架
量子哈密顿模拟是量子计算最有前途的应用之一,也是许多量子算法的基础。对它们进行基准测试是衡量量子计算技术进展的重要标准。我们提出了一种方法和软件框架,用于评估基于门的量子计算机在特罗特化量子哈密顿演化中的各方面性能。我们提出了三种不同的基准测试模式:(i) 将真实设备上的模拟与无噪声经典模拟器上的模拟进行比较;(ii) 将真实设备上的模拟与精确对角化结果进行比较;(iii) 使用可扩展镜像电路技术评估经典模拟方法之外的场景中的硬件性能。我们在 HamLib 库中的五个哈密顿模型上演示了这一框架:费米和玻色-哈伯德模型、横向场伊辛模型、海森堡模型和 Max3SAT 问题。我们使用 Qiskit 的 Aer 模拟器、BlueQubit 的 CPU 集群和 GPU 模拟器以及 IBM 的量子硬件进行了实验。我们的框架可扩展到其他汉密尔顿,提供全面的性能剖析,揭示硬件和算法的局限性,测量保真度和执行时间,确定量子硬件优于CPU/GPU模拟器的交叉点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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