Dynamical Localization Simulated on Actual Quantum Hardware

Abstract

Quantum computers are invaluable tools to explore the properties of complex quantum systems. We show that dynamical localization of the quantum sawtooth map, a highly sensitive quantum coherent phenomenon, can be simulated on actual, small-scale quantum processors. Our results demonstrate that quantum computing of dynamical localization may become a convenient tool for evaluating advances in quantum hardware performances.

Quantum computation of complex systems

“…This phenomenon, known as dynamical localization, is due to quantum interference effects, suppressing the underlying classical diffusion process after a time t ≈ ≈ D. Fig. 3 shows the results of a dynamical localization experiment with n = 3 qubits on a real and freely available IBM quantum processor, with superconducting qubits, remotely accessed through cloud quantum programming [2]. The initial condition is peaked in action, ψ 0 (m) = m|ψ 0 = δ m,m0 , with m 0 = 0.…”