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Q: Fachverband Quantenoptik und Photonik
Q 4: Quantum Information (Concepts and Methods) I
Q 4.5: Talk
Monday, March 14, 2022, 15:00–15:15, Q-H12
Thermomajorization in Quantum Control — •Frederik vom Ende1,2, Gunther Dirr3, and Thomas Schulte-Herbrüggen1,2 — 1Department of Chemistry, Technische Universität München, Garching, 85737, Germany — 2Munich Centre for Quantum Science and Technology & Munich Quantum Valley, Schellingstr. 4, 80799 München, Germany — 3Department of Mathematics, University of Würzburg, Würzburg, 97074, Germany
Based on the recent description of thermomajorization -- known in the mathematics literature as d- or relative q-majorization -- as a convex polytope (arXiv:1911.01061) we visualize the constraints coming from thermomajorization for a qutrit as a parameter of the temperature. It is known that one of the extreme points of this polytope majorizes every element from the polytope clasically; this extreme point is of particular interest in quantum control systems where one of the controls is to couple the system to a bath of finite temperature (arXiv:2003.06018). Thus this graphical approach allows us to highlight some critical temperatures for when this maximal extreme point changes its behaviour. Finally, we point to a recently drawn connection to Markovian thermal operations (arXiv:2111.12130) and its possible implications for control systems of the above type.