Heidelberg 2015 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 10: Quantum Information: Concepts and Methods II
Q 10.4: Vortrag
Montag, 23. März 2015, 15:30–15:45, K/HS1
Symmetries completely determine the computational power of controlled quantum systems — Zoltán Zimborás1, •Robert Zeier2, Thomas Schulte-Herbrüggen2, and Daniel Burgarth3 — 1Department of Computer Science, University College London, Gower Street, London WC1E 6BT, UK — 2Department Chemie, Technische Universität München, Lichtenbergstrasse 4, 85747 Garching, Germany — 3Department of Mathematics and Physics, Aberystwyth University, Aberystwyth SY23 2BZ, UK
Given a quantum system, what can one do with it? We present a technique based on analyzing symmetries which decides if a controlled quantum system can simulate a given effective Hamiltonian. Moreover, our technique can compare the respective computational power of two controlled quantum systems. We emphasize that our approach improves on the conventional approach of computing Lie-closures of generators and harnesses the symmetries of the quantum system in order to reduce Lie-algebraic computations to effective linear-algebra ones.