Time-optimal control with finite bandwidth
Time-optimal control theory provides recipes to achieve quantum operations with high fidelity and speed, as required in quantum technologies such as quantum sensing and computation. While technical advances have achieved the ultrastrong driving regime in many physical systems, these capabilities hav...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Springer Science and Business Media LLC
2020
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| Online Access: | https://hdl.handle.net/1721.1/124225 |
| _version_ | 1826194067207225344 |
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| author | Hirose, Masashi Cappellaro, Paola |
| author2 | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Hirose, Masashi Cappellaro, Paola |
| author_sort | Hirose, Masashi |
| collection | MIT |
| description | Time-optimal control theory provides recipes to achieve quantum operations with high fidelity and speed, as required in quantum technologies such as quantum sensing and computation. While technical advances have achieved the ultrastrong driving regime in many physical systems, these capabilities have yet to be fully exploited for the precise control of quantum systems, as other limitations, such as the generation of higher harmonics or the finite response time of the control apparatus, prevent the implementation of theoretical time-optimal control. Here we present a method to achieve time-optimal control of qubit systems that can take advantage of fast driving beyond the rotating wave approximation. We exploit results from time-optimal control theory to design driving protocols that can be implemented with realistic, finite-bandwidth control fields, and we find a relationship between bandwidth limitations and achievable control fidelity. |
| first_indexed | 2024-09-23T09:49:59Z |
| format | Article |
| id | mit-1721.1/124225 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:49:59Z |
| publishDate | 2020 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1242252022-09-26T14:00:20Z Time-optimal control with finite bandwidth Hirose, Masashi Cappellaro, Paola Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Massachusetts Institute of Technology. Research Laboratory of Electronics Signal Processing Theoretical Computer Science Modelling and Simulation Electrical and Electronic Engineering Electronic, Optical and Magnetic Materials Statistical and Nonlinear Physics Time-optimal control theory provides recipes to achieve quantum operations with high fidelity and speed, as required in quantum technologies such as quantum sensing and computation. While technical advances have achieved the ultrastrong driving regime in many physical systems, these capabilities have yet to be fully exploited for the precise control of quantum systems, as other limitations, such as the generation of higher harmonics or the finite response time of the control apparatus, prevent the implementation of theoretical time-optimal control. Here we present a method to achieve time-optimal control of qubit systems that can take advantage of fast driving beyond the rotating wave approximation. We exploit results from time-optimal control theory to design driving protocols that can be implemented with realistic, finite-bandwidth control fields, and we find a relationship between bandwidth limitations and achievable control fidelity. 2020-03-24T14:27:18Z 2020-03-24T14:27:18Z 2018-02-28 2020-02-20T17:56:55Z Article http://purl.org/eprint/type/JournalArticle 1570-0755 1573-1332 https://hdl.handle.net/1721.1/124225 Hirose, M. and Paola Cappellaro. "Time-optimal control with finite bandwidth." Quantum information processing 17 (2018):88 en 10.1007/s11128-018-1845-6 Quantum information processing Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer Science and Business Media LLC arXiv |
| spellingShingle | Signal Processing Theoretical Computer Science Modelling and Simulation Electrical and Electronic Engineering Electronic, Optical and Magnetic Materials Statistical and Nonlinear Physics Hirose, Masashi Cappellaro, Paola Time-optimal control with finite bandwidth |
| title | Time-optimal control with finite bandwidth |
| title_full | Time-optimal control with finite bandwidth |
| title_fullStr | Time-optimal control with finite bandwidth |
| title_full_unstemmed | Time-optimal control with finite bandwidth |
| title_short | Time-optimal control with finite bandwidth |
| title_sort | time optimal control with finite bandwidth |
| topic | Signal Processing Theoretical Computer Science Modelling and Simulation Electrical and Electronic Engineering Electronic, Optical and Magnetic Materials Statistical and Nonlinear Physics |
| url | https://hdl.handle.net/1721.1/124225 |
| work_keys_str_mv | AT hirosemasashi timeoptimalcontrolwithfinitebandwidth AT cappellaropaola timeoptimalcontrolwithfinitebandwidth |