Even for the easy and apparently well known quantum “coherent control” problem, the standard analysis methods of system theory can give some deeper insight and natural formalization of two fundamental properties: stability and robustness. A weak Input to State Stability is demonstrated for unitary evolution. The Robustness idea is quantitatively formulated in a classical control theory framework and verified by comparing the analysis results with the evaluations found in literature.
Stability and robustness in coherent quantum control
TICOZZI, FRANCESCO;FERRANTE, AUGUSTO;PAVON, MICHELE
2004
Abstract
Even for the easy and apparently well known quantum “coherent control” problem, the standard analysis methods of system theory can give some deeper insight and natural formalization of two fundamental properties: stability and robustness. A weak Input to State Stability is demonstrated for unitary evolution. The Robustness idea is quantitatively formulated in a classical control theory framework and verified by comparing the analysis results with the evaluations found in literature.
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