TIME-MINIMAL CONTROL OF DISSIPATIVE TWO-LEVEL QUANTUM SYSTEMS: THE INTEGRABLE CASE

6533b7d7fe1ef96bd1267c0e

RESEARCH PRODUCT

TIME-MINIMAL CONTROL OF DISSIPATIVE TWO-LEVEL QUANTUM SYSTEMS: THE INTEGRABLE CASE

Dominique Sugny Bernard Bonnard

subject

0209 industrial biotechnology Control and Optimization Integrable system Quantum dynamics [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]FOS: Physical sciences 02 engineering and technology 01 natural sciences 020901 industrial engineering & automation [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]0103 physical sciences Quantum operation [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]010306 general physics Mathematical Physics Mathematics Mathematical physics Lindblad equation Applied Mathematics Mathematical analysis [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Mathematical Physics (math-ph)[PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph]16. Peace & justice 49K15 70Q05 Quantum process Dissipative system Quantum algorithm [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]Hamiltonian (control theory)

description

The objective of this article is to apply recent developments in geometric optimal control to analyze the time minimum control problem of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. We focus our analysis on the case where the extremal Hamiltonian is integrable.

year	journal	country	edition	language
2009-01-01

https://hal.archives-ouvertes.fr/hal-00508380

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