Hybrid quantum-classical control problems

Boghiu, Emanuel-Cristian ; Clemente-Gallardo, Jesús (Universidad de Zaragoza) ; Jover-Galtier, Jorge A. (Universidad de Zaragoza) ; Martínez-Crespo, David (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.3934/cam.2024034

Año: 2024

Publicado en: Communications in analysis and mechanics 16, 4 (2024), 786-812
ISSN:

Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00
Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00
Financiación: info:eu-repo/grantAgreement/ES/DGA-CUS/581-2020
Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-23R
Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-23R

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)