Title :
Quantum Markovian master equation driven by coherent controls: a controllability analysis
Author :
Altafini, Claudio
Author_Institution :
Int. Sch. for Adv. Studies, SISSA, Trieste, Italy
Abstract :
The behavior of a coherently driven finite dimensional open quantum system (in the Markovian approximation) is studied from a control theoretical perspective. The irreversible character of such a system is formalized by showing that it can be accessible but neither small-time controllable nor controllable in finite time. When the generators of quantum dynamical semigroups are unital, then the reachable sets admit easy characterizations as they monotonically grow in time.
Keywords :
Markov processes; controllability; master equation; multidimensional systems; Markovian approximation; coherent controls; finite dimensional open quantum system; quantum Markovian master equation; quantum dynamical semigroups; small time controllability; Character generation; Control system analysis; Control systems; Control theory; Controllability; Equations; H infinity control; Purification; Quantum mechanics; Sufficient conditions;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272597
