000145563 001__ 145563 000145563 005__ 20241108105822.0 000145563 0247_ $$2doi$$a10.3934/cam.2024034 000145563 0248_ $$2sideral$$a140434 000145563 037__ $$aART-2024-140434 000145563 041__ $$aeng 000145563 100__ $$aBoghiu, Emanuel-Cristian 000145563 245__ $$aHybrid quantum-classical control problems 000145563 260__ $$c2024 000145563 5060_ $$aAccess copy available to the general public$$fUnrestricted 000145563 5203_ $$aThe 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. 000145563 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00$$9info:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00$$9info:eu-repo/grantAgreement/ES/DGA-CUS/581-2020$$9info:eu-repo/grantAgreement/ES/DGA/E24-23R$$9info:eu-repo/grantAgreement/ES/DGA/E48-23R 000145563 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000145563 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000145563 700__ $$0(orcid)0000-0003-4721-7381$$aClemente-Gallardo, Jesús$$uUniversidad de Zaragoza 000145563 700__ $$0(orcid)0000-0001-9868-9368$$aJover-Galtier, Jorge A.$$uUniversidad de Zaragoza 000145563 700__ $$0(orcid)0000-0002-6044-0337$$aMartínez-Crespo, David$$uUniversidad de Zaragoza 000145563 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000145563 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000145563 773__ $$g16, 4 (2024), 786-812$$tCommunications in analysis and mechanics 000145563 8564_ $$s748101$$uhttps://zaguan.unizar.es/record/145563/files/texto_completo.pdf$$yVersión publicada 000145563 8564_ $$s1900307$$uhttps://zaguan.unizar.es/record/145563/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000145563 909CO $$ooai:zaguan.unizar.es:145563$$particulos$$pdriver 000145563 951__ $$a2024-11-08-10:38:04 000145563 980__ $$aARTICLE