Title :
Characterization of Majorization Monotone Quantum Dynamics
Author_Institution :
Dept. of Mech. Eng., Massachusetts Inst. of Technol., Cambridge, MA, USA
fDate :
4/1/2010 12:00:00 AM
Abstract :
In this technical note, the author studies the dynamics of open quantum system in Markovian environment. The author gives necessary and sufficient conditions for such dynamics to be majorization monotone, which are those dynamics always mixing the states.
Keywords :
Markov processes; discrete time systems; vectors; Markovian environment; majorization monotone quantum dynamics; open quantum system; Anisotropic magnetoresistance; Automatic control; Chemistry; Control systems; Control theory; Differential equations; Eigenvalues and eigenfunctions; Equations; Laplace equations; Linear matrix inequalities; Multiagent systems; Network topology; Physics; Quantum computing; Sections; Shape control; Stability; Stochastic processes; Sufficient conditions; Majorization; open quantum dynamics;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2041619