Quantum simulation of operator spreading in the chaotic Ising model
Abstract
There is great interest in using near-term quantum computers to simulate and study foundational problems in quantum mechanics and quantum information science, such as the scrambling measured by an out-of-time-ordered correlator (OTOC). Here we use an IBM Q processor, quantum error mitigation, and weaved Trotter simulation to study high-resolution operator spreading in a 4-spin Ising model as a function of space, time, and integrability. Reaching 4 spins while retaining high circuit fidelity is made possible by the use of a physically motivated fixed-node variant of the OTOC, allowing scrambling to be estimated without overhead. We find clear signatures of ballistic operator spreading in a chaotic regime, as well as operator localization in an integrable regime. The techniques developed and demonstrated here open up the possibility of using cloud-based quantum computers to study and visualize scrambling phenomena, as well as quantum information dynamics more generally.
Cite
@article{arxiv.2106.16170,
title = {Quantum simulation of operator spreading in the chaotic Ising model},
author = {Michael R. Geller and Andrew Arrasmith and Zoë Holmes and Bin Yan and Patrick J. Coles and Andrew Sornborger},
journal= {arXiv preprint arXiv:2106.16170},
year = {2022}
}