Algorithmic Design and Optimization for Quantum Computation with a Qubit-Oscillator System
Quantum computation has long been dominated by a digital approach using the qubit, which exists in a two-dimensional vector space, as its basic unit. More recently, there has been increasing interest in an analog approach, which uses as its basic unit a qudit in an infinite-dimensional vector space...
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| Format: | Thesis |
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Massachusetts Institute of Technology
2024
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| Online Access: | https://hdl.handle.net/1721.1/156839 https://orcid.org/0000-0002-5985-9958 |
| _version_ | 1826209797356126208 |
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| author | Mintzer, Gabriel L. |
| author2 | Chuang, Isaac L. |
| author_facet | Chuang, Isaac L. Mintzer, Gabriel L. |
| author_sort | Mintzer, Gabriel L. |
| collection | MIT |
| description | Quantum computation has long been dominated by a digital approach using the qubit, which exists in a two-dimensional vector space, as its basic unit. More recently, there has been increasing interest in an analog approach, which uses as its basic unit a qudit in an infinite-dimensional vector space. Alongside these two approaches is a third less-studied approach, that of combining digital and analog quantum computation. This approach is perhaps best exemplified by, and most researched via, the system of a qubit coupled to a quantum harmonic oscillator, which has been realized with many of the leading platforms for quantum computation. In this thesis, we ask how machine learning and other high-level computational techniques can be employed in the design of applications of a qubit-oscillator system to implementing fundamental components of quantum technology. In order to begin to answer this question and lay the groundwork for future investigation, both with this system and with others, we demonstrate the application of such high-level computational techniques toward addressing the problems of quantum compilation, quantum sensing, and quantum error-correction with the qubit-oscillator system. |
| first_indexed | 2024-09-23T14:30:41Z |
| format | Thesis |
| id | mit-1721.1/156839 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:30:41Z |
| publishDate | 2024 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1568392024-09-17T03:19:12Z Algorithmic Design and Optimization for Quantum Computation with a Qubit-Oscillator System Mintzer, Gabriel L. Chuang, Isaac L. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Quantum computation has long been dominated by a digital approach using the qubit, which exists in a two-dimensional vector space, as its basic unit. More recently, there has been increasing interest in an analog approach, which uses as its basic unit a qudit in an infinite-dimensional vector space. Alongside these two approaches is a third less-studied approach, that of combining digital and analog quantum computation. This approach is perhaps best exemplified by, and most researched via, the system of a qubit coupled to a quantum harmonic oscillator, which has been realized with many of the leading platforms for quantum computation. In this thesis, we ask how machine learning and other high-level computational techniques can be employed in the design of applications of a qubit-oscillator system to implementing fundamental components of quantum technology. In order to begin to answer this question and lay the groundwork for future investigation, both with this system and with others, we demonstrate the application of such high-level computational techniques toward addressing the problems of quantum compilation, quantum sensing, and quantum error-correction with the qubit-oscillator system. M.Eng. 2024-09-16T13:52:16Z 2024-09-16T13:52:16Z 2024-05 2024-07-11T14:37:14.102Z Thesis https://hdl.handle.net/1721.1/156839 https://orcid.org/0000-0002-5985-9958 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 | Mintzer, Gabriel L. Algorithmic Design and Optimization for Quantum Computation with a Qubit-Oscillator System |
| title | Algorithmic Design and Optimization for Quantum Computation with a Qubit-Oscillator System |
| title_full | Algorithmic Design and Optimization for Quantum Computation with a Qubit-Oscillator System |
| title_fullStr | Algorithmic Design and Optimization for Quantum Computation with a Qubit-Oscillator System |
| title_full_unstemmed | Algorithmic Design and Optimization for Quantum Computation with a Qubit-Oscillator System |
| title_short | Algorithmic Design and Optimization for Quantum Computation with a Qubit-Oscillator System |
| title_sort | algorithmic design and optimization for quantum computation with a qubit oscillator system |
| url | https://hdl.handle.net/1721.1/156839 https://orcid.org/0000-0002-5985-9958 |
| work_keys_str_mv | AT mintzergabriell algorithmicdesignandoptimizationforquantumcomputationwithaqubitoscillatorsystem |