Year: 2024
Type: article
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.
Source: npj Quantum Information
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $4,090
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
Awards: G1017065088, G121915436, G1279347439, G1527848044, G1645119126, G1870943713, G203625172, G2988778103, G3321963724, G4003296598, G4370606643, G4620633122, G4698309220, G5238074065, G5840121450, G6410514744, G6563880843, TRR 306: Quantenkooperativität von Licht und Materie – QuCoLiMa, G675320460, G7259778263, G816254390, G8269158468, G8906985441, G89955983
OpenAlex ID: W4402526836