SAMOP 2023 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 46: Quantum Control (joint session QI/Q)
Q 46.5: Talk
Thursday, March 9, 2023, 12:15–12:30, B305
Taking Markovian Quantum Dynamics to Thermal Limits: Principles, Practice, and Perspectives — •Thomas Schulte-Herbrüggen1,2, Frederik vom Ende1,2, Emanuel Malvetti1,2, and Gunther Dirr3 — 1Technical University of Munich (TUM) — 2Munich Centre for Quantum Science and Technology (MCQST) and Munich Quantum Valley (MQV) — 3Institute of Mathematics, Universität Würzburg
To begin with, consider the following engineering problem: Which quantum states can be reached by coherently controlling n-level quantum systems coupled to a thermal bath in a switchable Markovian way? We address this question by giving (inclusions for) reachable sets of coherently controllable open quantum systems with switchable coupling to a thermal bath of temperature T as an additional resource.
A 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<∞ by using recent methods of extreme points of the d-majorisation polytope.
We give illustrating examples, experimental applications, and perspectives at the intersection of control theory with resource theory.
Refs.: Proc. MTNS (2022), 1069 and 1073