Geometric optimal control and two-level dissipative quantum systems

6533b7d9fe1ef96bd126bef3

RESEARCH PRODUCT

Geometric optimal control and two-level dissipative quantum systems

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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 present techniques of geometric time-optimal control developed to analyze the control of two-level dissipative quantum systems. Combined with numerical simulations they allow to compute the time-minimal control using a shooting method. The robustness with respect to initial conditions and dissipative parameters is also analyzed using a continuation method.

year	journal	country	edition	language
2009-01-01

https://hal.archives-ouvertes.fr/hal-00508377

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