Title :
Reachable set for open single spin system
Author_Institution :
Dept. of Appl. Math., Hong Kong Polytech. Univ., Hong Kong, China
Abstract :
In this article we study the reachable set of open single spin systems in Markovian environment by using coherent control. Given the initial state, we compute all the possible states to which the spin can be driven to at a given time. Such characterization of reachable set gives the physical limits of controlled evolution of quantum systems and provide optimal control strategies achieving these limits.
Keywords :
Markov processes; discrete systems; optimal control; reachability analysis; spin systems; Markovian environment; coherent control; controlled quantum system evolution; open single spin system; optimal control strategies; physical limits; reachable set characterization; Damping; Equations; Mathematical model; Nuclear magnetic resonance; Optimal control; Quantum computing; Vectors;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760162
