Physics & Astronomy ETDs

Publication Date

Summer 7-5-2022

Abstract

A major application of quantum computers is simulating other quantum systems that are intractable to simulate classically. The broad family of algorithms for this problem go by the name of quantum simulation. Product formulas provide resource efficient and practical methods to simulate Hamiltonian dynamics. In this thesis, we study the resource estimation of quantum simulation by product formula from two aspects. First, we provide a detailed analysis of the algorithm itself. Using the effective Hamiltonian perspective, we successfully reduce the circuit complexity of quantum phase estimation and digital adiabatic simulation. Second, we analyze the performance of dynamical decoupling, a widely-used error suppression protocol. By generalizing previous methods, we obtain rigorous error bounds for different types of dynamical decoupling.

Degree Name

Physics

Level of Degree

Doctoral

Department Name

Physics & Astronomy

First Committee Member (Chair)

Milad Marvian

Second Committee Member

Ivan Deutsch

Third Committee Member

Tameem Albash

Fourth Committee Member

Rouzbeh Allahverdi

Language

English

Keywords

Quantum Simulation, Adiabatic Quantum Computing

Document Type

Dissertation

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