6533b85efe1ef96bd12c06be

RESEARCH PRODUCT

Robust optimal control of two-level quantum systems

Steffen J. GlaserDominique SugnyDominique SugnyQ. AnselQ. AnselL. Van Damme

subject

Physics0209 industrial biotechnologyQuantum PhysicsOffset (computer science)Field (physics)Order (ring theory)FOS: Physical sciences02 engineering and technologyOptimal control01 natural sciences020901 industrial engineering & automationDimension (vector space)Robustness (computer science)0103 physical sciencesApplied mathematicsRobust control010306 general physicsQuantum Physics (quant-ph)Quantum

description

We investigate the time and the energy minimum optimal solutions for the robust control of two-level quantum systems against offset or control field uncertainties. Using the Pontryagin Maximum Principle, we derive the global optimal pulses for the first robustness orders. We show that the dimension of the control landscape is lower or equal to 2N for a field robust to the N th order, which leads to an estimate of its complexity.

yearjournalcountryeditionlanguage
2017-06-02
https://dx.doi.org/10.48550/arxiv.1704.07653