Mathematics > Optimization and Control
[Submitted on 14 Dec 2018 (v1), last revised 18 Jun 2020 (this version, v3)]
Title:A universal gap for non-spin quantum control systems
View PDFAbstract: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.
Submission history
From: Francesco Rossi [view email][v1] Fri, 14 Dec 2018 07:49:36 UTC (9 KB)
[v2] Sun, 29 Mar 2020 09:42:57 UTC (31 KB)
[v3] Thu, 18 Jun 2020 05:49:43 UTC (15 KB)
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