Large-scale simulations of Floquet physics on near-term quantum computers
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
- Refik Mansuroglu (ORCID: https://orcid.org/0000-0001-7352-513X)
- Piotr Czarnik (ORCID: https://orcid.org/0000-0002-0477-1158)
- Łukasz Cincio (ORCID: https://orcid.org/0000-0002-6758-4376)
- Andrew T. Sornborger (ORCID: https://orcid.org/0000-0001-8036-6624)
- Michael J. Hartmann (ORCID: https://orcid.org/0000-0002-8207-3806)
- Jian‐Xin Zhu (ORCID: https://orcid.org/0000-0001-7991-3918)
- Zoë Holmes (ORCID: https://orcid.org/0000-0001-6841-4507)
- Timo Eckstein (ORCID: https://orcid.org/0000-0002-6819-1865)
Institutions
- Jagiellonian University (PL)
- Los Alamos National Laboratory (US)
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Max Planck Institute for the Science of Light (DE)
- Center for Integrated Nanotechnologies (US)
- École Polytechnique Fédérale de Lausanne (CH)
Publication Details
- Journal
- npj Quantum Information
- Published
- 2024-09-13
- DOI
- https://doi.org/10.1038/s41534-024-00866-1
- Citations
- 8
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 2.03
Funders
- U.S. Department of Energy
- Friedrich-Alexander-Universität Erlangen-Nürnberg
- Deutsche Forschungsgemeinschaft
- Bundesministerium für Bildung und Forschung
- Narodowe Centrum Nauki
- Uniwersytet Jagielloński w Krakowie
- Office of Science
- National Nuclear Security Administration
- Advanced Scientific Computing Research
- Oak Ridge National Laboratory
- Los Alamos National Laboratory