1. Large-scale simulations of Floquet physics on near-term quantum computers.
- Author
-
Eckstein, Timo, Mansuroglu, Refik, Czarnik, Piotr, Zhu, Jian-Xin, Hartmann, Michael J., Cincio, Lukasz, Sornborger, Andrew T., and Holmes, Zoë
- Subjects
QUANTUM computers ,ION traps ,TWO-dimensional models ,QUANTUM theory ,MAGNETISM - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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