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

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

doi:10.1038/s41534-024-00866-1

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

Journal Article · Fri Sep 13 00:00:00 EDT 2024 · npj Quantum Information

DOI:https://doi.org/10.1038/s41534-024-00866-1· OSTI ID:2440899

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Abstract 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.

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Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC05-00OR22725; 20220253ER; 89233218CNA000001; 20230049DR; Mark Kac Fellowship

OSTI ID:: 2440899

Journal Information:: npj Quantum Information, Journal Name: npj Quantum Information Vol. 10 Journal Issue: 1; ISSN 2056-6387

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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