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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 3: Quantum Mechanics

MP 3.2: Vortrag

Montag, 30. März 2020, 17:35–17:55, H-HS VII

Gibbs-Preserving Maps from the Perspective of Majorization — •Frederik vom Ende — TU Munich, 85748 Garching, Germany

Quantum channels which preserve some Gibbs-state play an important role in the resource theory of quantum thermodynamics and, more precisely, in connection with Thermo-Majorization.

Motivated by questions regarding reachability in coherently controllable open quantum systems with switchable coupling to a thermal bath, as well as recent developments of thermo-/d-majorization in the vector case (cf. arXiv:1911.01061 ), we generalize classical majorization from unital channels to channels with an arbitrary fixed point D of full rank.

Based on this we investigate generalized D-majorization in terms of order properties, unique maximal & minimal elements, topological aspects, etc. Moreover we will give characterizations of D-majorization in the qubit case and elaborate on why this is a challenging task when going beyond two dimensions.