Quantum computing Floquet energy spectra

Abstract

Quantum systems can be dynamically controlled using time-periodic external fields, leading to the concept of Floquet engineering, with promising technological applications. Computing Floquet energy spectra is harder than only computing ground state properties or single time-dependent trajectories, and scales exponentially with the Hilbert space dimension. Especially for strongly correlated systems in the low frequency limit, classical approaches based on truncation break down. Here, we present two quantum algorithms to determine effective Floquet modes and energy spectra. We combine the defining properties of Floquet modes in time and frequency domains with the expressiveness of parametrized quantum circuits to overcome the limitations of classical approaches. We benchmark our algorithms and provide an analysis of the key properties relevant for near-term quantum hardware.

21 pages, 7 figures

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Cited by in corpus (7)

• Large-scale simulations of Floquet physics on near-term quantum computers
• Noise-Robust Detection of Quantum Phase Transitions
• Randomised benchmarking for universal qudit gates
• Entanglement-informed Construction of Variational Quantum Circuits
• Quantum Software Ecosystem Design
• Probabilistic imaginary-time evolution in state-vector-based and shot-based simulations and on quantum devices
• Critical Scaling of the Quantum Wasserstein Distance