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

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

Journal Article · 13 September 2024 · npj Quantum Information

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

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Freidrich Alexander Univ. Erlangen-Nürnberg (FAU), Erlangen (Germany); Max Planck Institute for the Science of Light (MPL), Erlangen (Germany); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Freidrich Alexander Univ. Erlangen-Nürnberg (FAU), Erlangen (Germany)
Jagiellonian Univ., Krakow (Poland)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Freidrich Alexander Univ. Erlangen-Nürnberg (FAU), Erlangen (Germany); Max Planck Institute for the Science of Light (MPL), Erlangen (Germany)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Ecole Polytechnique Federale Lausanne (EPFL) (Switzerland)

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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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: Federal Ministry of Education and Research (BMBF); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)

Grant/Contract Number:: 89233218CNA000001; AC05-00OR22725

OSTI ID:: 2440899

Report Number(s):: LA-UR--23-22062

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

Publisher:: Nature Partner JournalsCopyright Statement

Country of Publication:: United States

Language:: English

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