Title :
Time optimal control of spin systems with unequal coupling
Author :
Yuan, Haidong ; Khaneja, Navin
Author_Institution :
Div. of Eng. & Appl. Sci., Harvard Univ., Cambridge, MA
Abstract :
In this article, we study the problem of time optimal manipulation of dynamics of coupled spins in NMR (nuclear magnetic resonance) spectroscopy and quantum information processing. In particular, we analyze the system of three linearly coupled spins with unequal couplings. We give time optimal control laws for steering the state of the spins between points that are of significance in coherent spectroscopy
Keywords :
NMR spectroscopy; quantum theory; time optimal control; nuclear magnetic resonance spectroscopy; quantum information processing; spin systems; time optimal control; unequal coupling; Algebra; Control systems; Couplings; Hilbert space; Information processing; Magnetic fields; Nuclear magnetic resonance; Optimal control; Radio frequency; Spectroscopy;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377381