University of Southern California Dissertations and Theses

Theory and simulation of Hamiltonian open quantum systems

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Theory and simulation of Hamiltonian open quantum systems

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Abstract (if available)

Abstract In this dissertation, we present an open-source software package called ""Hamiltonian Open Quantum System Toolkit"" (HOQST), a collection of tools for the investigation of open quantum system dynamics in Hamiltonian quantum computing, including both quantum annealing and the gate-model of quantum computing. We also provide new error bounds for the range of validity of master equations (MEs) supported by HOQST, which serves as a guiding tool on which ME to choose in different parameter regimes. ❧ We illustrate the use of HOQST in three applications. The first one is simulating open quantum system dynamics in a 3-qubit entanglement witness experiment that used a technique called tunneling spectroscopy. Whereas previous numerical modeling of this experiment was unable to capture the reported tunneling linewidth, HOQST's implementation of the polaron-transformed Redfield master equation was able to do so. The second example is the multi-level s-curve experiment for capacitively-shunted flux qubits (CSFQs). In such an experiment, the CSFQs work outside the qubit regime, and we show that a circuit-level adiabatic master equation (AME) simulation can achieve a qualitative agreement with the experimental results. Finally, we discuss one strategy to improve the performance of quantum annealing (QA): the mid-anneal pausing protocol. Guided by numerical simulations, we derive sufficient conditions for the strategy to result in a success probability enhancement. This establishes that the observed success probability enhancement can be attributed to incomplete quantum relaxation, i.e., is a form of beneficial nonequilibrium coupling to the environment.

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Asset Metadata

Creator Chen, Huo (author)

Core Title Theory and simulation of Hamiltonian open quantum systems

School Viterbi School of Engineering

Degree Doctor of Philosophy

Degree Program Electrical Engineering

Publication Date 03/31/2021

Defense Date 03/11/2021

Publisher University of Southern California (original), University of Southern California. Libraries (digital)

Tag decoherence,OAI-PMH Harvest,open quantum system,quantum annealing,quantum computing,superconducting qubit

Language English

Contributor Electronically uploaded by the author (provenance)

Advisor Lidar, Daniel (committee chair), Brun, Todd (committee member), Hen, Itay (committee member)

Creator Email chenhuo2@gmail.com,huochen@usc.edu

Permanent Link (DOI) https://doi.org/10.25549/usctheses-c89-433436

Unique identifier UC11666717

Identifier etd-ChenHuo-9376.pdf (filename),usctheses-c89-433436 (legacy record id)

Legacy Identifier etd-ChenHuo-9376.pdf

Dmrecord 433436

Document Type Dissertation

Rights Chen, Huo

Type texts

Source University of Southern California (contributing entity), University of Southern California Dissertations and Theses (collection)

Access Conditions The author retains rights to his/her dissertation, thesis or other graduate work according to U.S. copyright law. Electronic access is being provided by the USC Libraries in agreement with the a...

Repository Name University of Southern California Digital Library

Repository Location USC Digital Library, University of Southern California, University Park Campus MC 2810, 3434 South Grand Avenue, 2nd Floor, Los Angeles, California 90089-2810, USA