6533b822fe1ef96bd127ddea
RESEARCH PRODUCT
Optimal control of spin-systems: Applications to Nuclear Magnetic Resonance and Quantum Information
Léo Van Dammesubject
[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]free rotation of a rigid bodyrésonance magnétique nucléairenuclear magnetic resonanceoptimal controlinformation quantiquecontrôle optimal[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]quantum informationcontrôle robustetoupie d’Eulercontrôle quantiquequantum control[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]GRAPErobust controldescription
The goal of this thesis is to apply the optimal control theory to Nuclear Magnetic Resonance and Quantum Information. In a first step, we introduce the different topics and the dynamics of the analyzed systems. We give the necessary tools to use the Pontryagin Maximum Principle, and also an optimization algorithm, namely GRAPE. The first work is an application of the PMP to the control of a three-spin chain with unequal couplings. We continue with the study of a classical problem called "the tennis racket effect", which is a non-linear phenomenon occuring during the free rotation of a three-dimensional rigid body. We use the results in the following chapter to determine some control laws for a two-level quantum system. The last chapter presents a numerical method which aims at improving the robustness of a quantum NOT gate and at investigating the efficiency of different analytical approaches proposed in the literature.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-10-14 |