Large-scale simulations of Floquet physics on near-term quantum
computers
- URL: http://arxiv.org/abs/2303.02209v1
- Date: Fri, 3 Mar 2023 20:45:01 GMT
- Title: Large-scale simulations of Floquet physics on near-term quantum
computers
- Authors: Timo Eckstein, Refik Mansuroglu, Piotr Czarnik, Jian-Xin Zhu, Michael
J. Hartmann, Lukasz Cincio, Andrew T. Sornborger and Zo\"e Holmes
- Abstract summary: We introduce the Quantum High Frequency Floquet Simulation (QHiFFS) algorithm as a method for simulating the dynamics of fast-driven Floquet 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.
- Score: 0.6332429219530602
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum systems subject to periodic driving exhibit a diverse set of
phenomena both of fundamental and technological interest. However, such
dynamical systems are more challenging to simulate classically than their
equilibrium counterparts. Here, we introduce the Quantum High Frequency Floquet
Simulation (QHiFFS) algorithm as a method for simulating the dynamics of
fast-driven Floquet 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 Hamiltonian simulation to be lifted to the
simulation of Floquet systems. We use the periodically driven biaxial
next-nearest neighbor Ising (BNNNI) model as a case study to illustrate our
algorithm. This oft-studied model is a natural test bed for quantum frustrated
magnetism and criticality. We successfully implemented a 20-qubit simulation of
the driven two-dimensional BNNNI model on Quantinuum's trapped ion quantum
computer. This is complemented with an analysis of QHiFFS algorithmic errors.
Our study indicates that the algorithm exhibits not only a cubic scaling
advantage in driving frequency $\omega$ but also a linear one in simulation
time $t$ compared to Trotterisation, making it an interesting avenue to push
towards near-term quantum advantage.
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