Dresden 2011 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

Q: Fachverband Quantenoptik und Photonik

Q 12: Quantum Information: Concepts and Methods 2

Q 12.6: Talk

Monday, March 14, 2011, 15:45–16:00, SCH A118

Hahn-Banach Theorems for Quantum Operations — •David Reeb, Michael Marc Wolf, and Maria Anastasia Jivulescu — Niels Bohr Institute, 2100 Copenhagen, Denmark

Given a set of quantum states at an initial and at a final instance, we ask the question of whether there exists a quantum operation, i.e. a Markovian quantum-mechanical time evolution, that maps each of the initial states to the corresponding final state. We present criteria under which such a map can be found and in which instances this map may be chosen to be (completely) positive and/or trace-preserving. These criteria may help determine whether an experimentally measured quantum-mechanical time evolution arises from a Markovian process, i.e. whether or not the environment is memoryless.