München 2019 – wissenschaftliches Programm
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 8: Quanteninformation und Kontrolle
MP 8.3: Vortrag
Mittwoch, 20. März 2019, 15:10–15:30, HS 23
Exploring the Limits of Quantum Dynamics - II: Markovian Reachability — •Frederik vom Ende1, Gunther Dirr2, and Thomas Schulte-Herbrüggen1 — 1TU Munich, 85748 Garching, Germany — 2University of Würzburg, 97074 Würzburg, Germany
Which quantum states can be reached by coherently controlling n-level quantum systems coupled to a thermal bath in a switchable Markovian way?
Questions of this kind form a challenging problem class. For solving them, we combine recent extensions of majorization techniques and Lie-geometrical control theory. We give inclusion relations deduced from dissipative actions on diagonal forms of quantum states and their unitary orbits. The inclusions hold for temperatures 0<T≤∞, while exact bounds exist for T=0 (amplitude damping) and unital noise (bit flip), the latter being a standard example of a “normal” channel. Moreover, one can structure the whole class of normal Lindblad generators in terms of reachability given full unitary control.
These techniques may also be useful in view of related thermalization problems.