Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case

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Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case

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[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph][PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph][ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph][ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph][PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph][MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]

description

International audience; The objective of this article is to complete preliminary results from [5], [17] concerning the time-minimal control of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. The extremal system is described by a 3-D-Hamiltonian depending upon three parameters. We combine geometric techniques with numerical simulations to deduce the optimal solutions.

year	journal	country	edition	language
2009-01-01

https://hal.archives-ouvertes.fr/hal-00508378

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