Quantum simulation of operator spreading in the chaotic Ising model

• URL: http://arxiv.org/abs/2106.16170v2
• Date: Thu, 8 Jul 2021 11:31:32 GMT
• Title: Quantum simulation of operator spreading in the chaotic Ising model
• Authors: Michael R. Geller, Andrew Arrasmith, Zo\"e Holmes, Bin Yan, Patrick J. Coles, and Andrew Sornborger
• Abstract summary: We study the scrambling measured by an out-of-time-ordered correlator (OTOC) We use an IBM Q processor, quantum error mitigation, and Trotter simulation to study high-resolution operator spreading in a 4-spin Ising model. We find clear signatures of ballistic operator spreading in a chaotic regime, as well as operator localization in an integrable regime.
• Score: 3.228427765222845
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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