Physics & Astronomy ETDs

Publication Date

Spring 4-13-2022

Abstract

We study the reliability of quantum simulation on Noisy intermediate-scale quantum (NISQ)-era devices in the presence of errors and imperfections, with a focus on exploring the relationship between the properties of the system being simulated and the errors in the output of the simulator. We first consider simulation of the Lipkin-Meshkov-Glick (LMG) model, which becomes chaotic in the presence of a background time-dependent perturbation. Here we show that the quantities that depend on the global structure of the phase space are robust, while other quantities that depend on the local trajectories are fragile and cannot be reliably extracted from the simulator. Next we analyze the effects of Trotterization on the simulation of p-spin models. We show that even in the absence of chaos, Trotter errors proliferate in the “structural instability regions”, where the effective Hamiltonian associated with the Trotterized unitary becomes very different from the target p-spin Hamiltonian.

Degree Name

Physics

Level of Degree

Doctoral

Department Name

Physics & Astronomy

First Committee Member (Chair)

Ivan H. Deutsch

Second Committee Member

Pablo M. Poggi

Third Committee Member

Tameem Albash

Fourth Committee Member

Poul S. Jessen

Language

English

Keywords

Quantum simulation, NISQ devices, Chaos, Trotter errors, p-spin models, Phase transitions

Document Type

Dissertation

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