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

Eckstein T, Mansuroglu R, Czarnik P, Zhu JX, Hartmann M, Cincio L, Sornborger AT, Holmes Z (2024)

Publication Language: English

Publication Type: Journal article

Publication year: 2024

Journal

npj Quantum Information Nature Research

Book Volume: 10

Article Number: 84

Journal Issue: 1

URI: https://arxiv.org/abs/2303.02209

DOI: 10.1038/s41534-024-00866-1

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.

Authors with CRIS profile

Timo Eckstein Lehrstuhl für Theoretische Physik Refik Mansuroglu Lehrstuhl für Theoretische Physik Michael Hartmann Lehrstuhl für Theoretische Physik

Involved external institutions

Jagiellonian University / Uniwersytet Jagielloński (UJ) PL Poland (PL) Los Alamos National Laboratory US United States (USA) (US)

How to cite

APA:

Eckstein, T., Mansuroglu, R., Czarnik, P., Zhu, J.X., Hartmann, M., Cincio, L.,... Holmes, Z. (2024). Large-scale simulations of Floquet physics on near-term quantum computers. npj Quantum Information, 10(1). https://doi.org/10.1038/s41534-024-00866-1

MLA:

Eckstein, Timo, et al. "Large-scale simulations of Floquet physics on near-term quantum computers." npj Quantum Information 10.1 (2024).

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