Bonn 2020 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 16: Quantum Information
MP 16.1: Talk
Thursday, April 2, 2020, 14:40–15:00, H-HS VII
Quantum Simulation and Reachability: from Lie-Theory to Illustrative Examples — •Thomas Schulte-Herbrüggen1, Frederik vom Ende1, Karl Briegel1, Gunther Dirr2, and Robert Zeier1,3 — 1Dept. Chem., Technische Universität München (TUM) — 2Mathematisches Institut, Universität Würzburg — 3Forschungszentrum Jülich GmbH, Peter Grünberg Institute, Quantum Control (PGI-8)
Characterising closed and open (Markovian) quantum dynamics within a Lie-based systems theory provides a unified mathematically rigorous frame for answering quantum engineering problems. — Here we focus on two recent and illustrative examples:
First, for curiosity we show how algebraic grounds pave the way to simulate (classical) rotations in d≥ 3 dimensions efficiently via coherently controlled spin-1/2 chains.
Second, combining coherent control with tunable coupling to reservoirs of a given temperature T, our previous exact reachability results (for T=0 amplitude damping as well as for bitflip noise) extend from n qubits to qudits. We illustrate how reachable sets of states relate to the more general concept of d-majorisation when moving to arbitrary T>0.