Controllability properties for finite dimensional quantum Markovian master equations

By Claudio Altafini. 2002

141 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/e71e3d1d73d44f0476401fe331ff149d2b16c412

Citations in the corpus

• Quantum control theory and applications: A survey (2009, unknown): “This subsection will introduce four types of models used in quantum control: bilinear models (BLM), Markovian master equations (MME), stochastic master equation models (SME) and linear quantum stochastic differential equations (LQSDE).”