SMuK 2021 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 11: Quantum Information
MP 11.1: Talk
Wednesday, September 1, 2021, 16:30–16:55, H7
Exploring the Limits of Open Quantum Dynamics I:
Motivation, Results from Toy Models to Applications — •Thomas Schulte-Herbrüggen1,2, Frederik vom Ende1,2, Emanuel Malvetti1,2, and Gunther Dirr3 — 1Dept. Chem., TU-München (TUM) — 2Munich Centre for Quantum Science and Technology (MCQST) — 3Institute of Mathematics, Universität Würzburg
Which quantum states can be reached by coherently controlling n-level quantum systems coupled to a thermal bath in a switchable Markovian way? To put this question of quantum engineering on a mathematical footing, we address reachable sets of coherently controllable open quantum systems with switchable coupling to a thermal bath of temperature T.
The core problem reduces to the dynamics of the eigenvalues of the density operator. It translates into a toy model of studying points in the standard simplex allowing for two types of controls: (i) permutations within the simplex, (ii) contractions by a dissipative semigroup. We show how toy-model solutions pertain to the reachable set of the original controlled Markovian quantum system. Beyond the case T = 0 (amplitude damping) we present results for 0 < T < ∞ using more recent methods like extreme points of the d-majorisation polytope.
We put the problem into context and give a number of illustrating examples.
Ref.: arXiv:2003.06018