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arXiv 2303.02209quant-phcond-mat.str-el
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近期量子计算机上Floquet物理的大规模模拟

Large-scale simulations of Floquet physics on near-term quantum computers

Timo Eckstein, Refik Mansuroglu, Piotr Czarnik, Jian-Xin Zhu, Michael J. Hartmann, Lukasz Cincio, Andrew T. Sornborger, Zoë Holmes

备注：
13 + 21 pages, 5 + 7 figures
发表信息：
npj Quantum Information 10, 84 (2024)
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AI总结：

本文提出QHiFFS算法，通过踢算符将快速驱动系统转化为时间无关有效哈密顿量，并在20量子比特离子阱计算机上模拟二维BNNNI模型，证明其在驱动频率和时间上均优于Trotter化。

摘要：

周期性驱动的量子系统展现出多样的现象，但比其平衡态对应系统更难模拟。在此，我们引入量子高频Floquet模拟（QHiFFS）算法，作为在量子硬件上模拟快速驱动量子系统的方法。QHiFFS的核心是踢算符的概念，它将系统变换到一个基中，在该基中动力学由时间无关的有效哈密顿量支配。这使得先前用于时间无关模拟的方法可以被提升来模拟Floquet系统。我们使用周期性驱动的双轴次近邻伊辛（BNNNI）模型作为案例研究来说明我们的算法，该模型是量子阻挫磁性和临界性的自然测试平台。我们在Quantinuum的离子阱量子计算机上实现了受驱动的二维BNNNI模型的20量子比特模拟。我们的误差分析表明，与Trotter化相比，QHiFFS不仅在驱动频率$ω$上展现出三次方优势，而且在模拟时间$t$上展现出线性优势。

英文摘要：

Periodically driven quantum systems exhibit a diverse set of phenomena but are more challenging to simulate than their equilibrium counterparts. Here, we introduce the Quantum High-Frequency Floquet Simulation (QHiFFS) algorithm as a method to simulate fast-driven quantum systems on quantum hardware. Central to QHiFFS is the concept of a kick operator which transforms the system into a basis where the dynamics is governed by a time-independent effective Hamiltonian. This allows prior methods for time-independent simulation to be lifted to simulate Floquet systems. We use the periodically driven biaxial next-nearest neighbor Ising (BNNNI) model, a natural test bed for quantum frustrated magnetism and criticality, as a case study to illustrate our algorithm. We implemented a 20-qubit simulation of the driven two-dimensional BNNNI model on Quantinuum's trapped ion quantum computer. Our error analysis shows that QHiFFS exhibits not only a cubic advantage in driving frequency $ω$ but also a linear advantage in simulation time $t$ compared to~Trotterization.

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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