A universal gap for non-spin quantum control systems
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- by Jean-Paul Gauthier and Francesco Rossi PDF
- Proc. Amer. Math. Soc. 149 (2021), 1203-1214 Request permission
Abstract:
We prove the existence of a universal gap for minimum time controllability of finite dimensional quantum systems, except for some basic representations of spin groups.
This is equivalent to the existence of a gap in the diameter of orbit spaces of the corresponding compact connected Lie group unitary actions on the Hermitian spheres.
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Additional Information
- Jean-Paul Gauthier
- Affiliation: Université de Toulon, LIS, UMR CNRS 7020, Campus de La Garde, 83041 Toulon CEDEX 9, France
- MR Author ID: 71950
- Email: gauthier@univ-tln.fr
- Francesco Rossi
- Affiliation: Dipartimento di Matematica “Tullio Levi-Civita”, Università di Padova, Italy
- MR Author ID: 845078
- ORCID: 0000-0002-5851-0412
- Email: francesco.rossi@math.unipd.it
- Received by editor(s): May 16, 2020
- Received by editor(s) in revised form: June 17, 2020, August 2, 2020, and August 3, 2020
- Published electronically: January 21, 2021
- Additional Notes: This research was partially supported by the Fondazione Cariparo “Visiting Scientist” Program 2018, the Padua University grant SID 2018 “Controllability, stabilizability and infimum gaps for control systems”, prot. BIRD 187147 and by the Grant ANR-15-CE40-0018 of the ANR
- Communicated by: Katrin Gelfert
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 1203-1214
- MSC (2020): Primary 81R99, 22D10, 15B99
- DOI: https://doi.org/10.1090/proc/15301
- MathSciNet review: 4211874