Dresden 2011 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 12: Quantum Information: Concepts and Methods 2

Q 12.6: Vortrag

Montag, 14. März 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.