Quantum-inspired and Quantum Optimization on a Superconducting Quantum Processor

Quantum and Quantum-inspired optimization represent rapidly growing fields that combine classical optimization techniques with either quantum-inspired ideas or quantum hardware to address complex optimization problems. This thesis provides an overview of quantum-inspired optimization as well as quan...

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Main Author: Banner, William P.
Other Authors: Oliver, William D.
Format: Thesis
Published: Massachusetts Institute of Technology 2023
Online Access:https://hdl.handle.net/1721.1/151493
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author Banner, William P.
author2 Oliver, William D.
author_facet Oliver, William D.
Banner, William P.
author_sort Banner, William P.
collection MIT
description Quantum and Quantum-inspired optimization represent rapidly growing fields that combine classical optimization techniques with either quantum-inspired ideas or quantum hardware to address complex optimization problems. This thesis provides an overview of quantum-inspired optimization as well as quantum optimization, including the theoretical underpinnings of both processes on hardware and in software. In particular, this thesis considers a specific, practically relevant problem, a BMW production planning problem, and evaluates the performance of quantum-inspired optimizers. This evaluation is implemented by comparing the performance of a family of quantum-inspired optimizers with that of several common black-box combinatorial methods. We find that the use of important operations research techniques including the incorporation of domain-specific information as well as state-space pruning improves the performance of all solvers. In addition, we find that in a majority of tested cases, quantum-inspired methods tie or improve upon the results of their conventional counterparts, albeit by small margins, particularly in regimes of moderate state-space size. This thesis demonstrates that quantum-inspired optimization can outperform many conventional optimization methods in some cases, motivating future use and study of quantum-inspired protocals as well as implementation of fully-quantum optimization techniques.
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spelling mit-1721.1/1514932023-08-01T04:17:13Z Quantum-inspired and Quantum Optimization on a Superconducting Quantum Processor Banner, William P. Oliver, William D. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Quantum and Quantum-inspired optimization represent rapidly growing fields that combine classical optimization techniques with either quantum-inspired ideas or quantum hardware to address complex optimization problems. This thesis provides an overview of quantum-inspired optimization as well as quantum optimization, including the theoretical underpinnings of both processes on hardware and in software. In particular, this thesis considers a specific, practically relevant problem, a BMW production planning problem, and evaluates the performance of quantum-inspired optimizers. This evaluation is implemented by comparing the performance of a family of quantum-inspired optimizers with that of several common black-box combinatorial methods. We find that the use of important operations research techniques including the incorporation of domain-specific information as well as state-space pruning improves the performance of all solvers. In addition, we find that in a majority of tested cases, quantum-inspired methods tie or improve upon the results of their conventional counterparts, albeit by small margins, particularly in regimes of moderate state-space size. This thesis demonstrates that quantum-inspired optimization can outperform many conventional optimization methods in some cases, motivating future use and study of quantum-inspired protocals as well as implementation of fully-quantum optimization techniques. S.M. 2023-07-31T19:44:08Z 2023-07-31T19:44:08Z 2023-06 2023-07-13T14:16:00.923Z Thesis https://hdl.handle.net/1721.1/151493 In Copyright - Educational Use Permitted Copyright retained by author(s) https://rightsstatements.org/page/InC-EDU/1.0/ application/pdf Massachusetts Institute of Technology
spellingShingle Banner, William P.
Quantum-inspired and Quantum Optimization on a Superconducting Quantum Processor
title Quantum-inspired and Quantum Optimization on a Superconducting Quantum Processor
title_full Quantum-inspired and Quantum Optimization on a Superconducting Quantum Processor
title_fullStr Quantum-inspired and Quantum Optimization on a Superconducting Quantum Processor
title_full_unstemmed Quantum-inspired and Quantum Optimization on a Superconducting Quantum Processor
title_short Quantum-inspired and Quantum Optimization on a Superconducting Quantum Processor
title_sort quantum inspired and quantum optimization on a superconducting quantum processor
url https://hdl.handle.net/1721.1/151493
work_keys_str_mv AT bannerwilliamp quantuminspiredandquantumoptimizationonasuperconductingquantumprocessor