Hybrid quantum-classical control problems
The notion of hybrid quantum-classical control system was introduced as a control dynamical system which combined classical and quantum degrees of freedom. Classical and quantum objects were combined within a geometrical description of both types of systems. We also considered the notion of hybrid q...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-10-01
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| Series: | Communications in Analysis and Mechanics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/cam.2024034 |
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| author | Emanuel-Cristian Boghiu Jesús Clemente-Gallardo Jorge A. Jover-Galtier David Martínez-Crespo |
| author_facet | Emanuel-Cristian Boghiu Jesús Clemente-Gallardo Jorge A. Jover-Galtier David Martínez-Crespo |
| author_sort | Emanuel-Cristian Boghiu |
| collection | DOAJ |
| description | The notion of hybrid quantum-classical control system was introduced as a control dynamical system which combined classical and quantum degrees of freedom. Classical and quantum objects were combined within a geometrical description of both types of systems. We also considered the notion of hybrid quantum-classical controllability by means of the usual definitions of geometric control theory, and we discussed how the different concepts associated to quantum controllability are lost in the hybrid context because of the nonlinearity of the dynamics. We also considered several examples of physically relevant problems, such as the spin-boson model or the notion of hybrid spline. |
| format | Article |
| id | doaj-art-cd9a0266b3d84fb281565e77b2e0ae50 |
| institution | Kabale University |
| issn | 2836-3310 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Communications in Analysis and Mechanics |
| spelling | doaj-art-cd9a0266b3d84fb281565e77b2e0ae502025-01-23T07:55:55ZengAIMS PressCommunications in Analysis and Mechanics2836-33102024-10-0116478681210.3934/cam.2024034Hybrid quantum-classical control problemsEmanuel-Cristian Boghiu0Jesús Clemente-Gallardo1Jorge A. Jover-Galtier2David Martínez-Crespo3ICFO - Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels (Barcelona) 08860, SpainDepartment of Theoretical Physics, University of Zaragoza, c/Pedro Cerbuna 12, 50009 Zaragoza, SpainDepartment of Applied Mathematics & IUMA, University of Zaragoza, c/María de Luna 3, 50018 Zaragoza, SpainDepartment of Theoretical Physics, University of Zaragoza, c/Pedro Cerbuna 12, 50009 Zaragoza, SpainThe notion of hybrid quantum-classical control system was introduced as a control dynamical system which combined classical and quantum degrees of freedom. Classical and quantum objects were combined within a geometrical description of both types of systems. We also considered the notion of hybrid quantum-classical controllability by means of the usual definitions of geometric control theory, and we discussed how the different concepts associated to quantum controllability are lost in the hybrid context because of the nonlinearity of the dynamics. We also considered several examples of physically relevant problems, such as the spin-boson model or the notion of hybrid spline.https://www.aimspress.com/article/doi/10.3934/cam.2024034hybrid control systemclassical controllabilityquantum controllabilityhybrid controllabilitysplines |
| spellingShingle | Emanuel-Cristian Boghiu Jesús Clemente-Gallardo Jorge A. Jover-Galtier David Martínez-Crespo Hybrid quantum-classical control problems Communications in Analysis and Mechanics hybrid control system classical controllability quantum controllability hybrid controllability splines |
| title | Hybrid quantum-classical control problems |
| title_full | Hybrid quantum-classical control problems |
| title_fullStr | Hybrid quantum-classical control problems |
| title_full_unstemmed | Hybrid quantum-classical control problems |
| title_short | Hybrid quantum-classical control problems |
| title_sort | hybrid quantum classical control problems |
| topic | hybrid control system classical controllability quantum controllability hybrid controllability splines |
| url | https://www.aimspress.com/article/doi/10.3934/cam.2024034 |
| work_keys_str_mv | AT emanuelcristianboghiu hybridquantumclassicalcontrolproblems AT jesusclementegallardo hybridquantumclassicalcontrolproblems AT jorgeajovergaltier hybridquantumclassicalcontrolproblems AT davidmartinezcrespo hybridquantumclassicalcontrolproblems |