TY - JOUR
T1 - Controllability properties for finite dimensional quantum Markovian master equations
JF - J. Math. Phys. 44 (2003) 2357-2372
Y1 - 2003
A1 - Claudio Altafini
AB - Various notions from geometric control theory are used to characterize the behavior of the Markovian master equation for N-level quantum mechanical systems driven by unitary control and to describe the structure of the sets of reachable states. It is shown that the system can be accessible but neither small-time controllable nor controllable in finite time. In particular, if the generators of quantum dynamical semigroups are unital, then the reachable sets admit easy characterizations as they monotonically grow in time. The two level case is treated in detail.
PB - American Institute of Physics
UR - http://hdl.handle.net/1963/2909
U1 - 1791
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -