Hannover 2010 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 21: Poster I
Q 21.41: Poster
Dienstag, 9. März 2010, 16:00–19:00, Lichthof
Quantum Gate Operations on Logical Qubits in a Decoherence-Free Subspace using Geometric Optimal Control Theory — •Anton Haase1, Lorenza Viola2, and Christiane P. Koch1 — 1Institut für Theoretische Physik, Freie Universität Berlin, Germany — 2Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire, USA
We study single qubit operations on logical qubits in a decoherence-free subspace of an open quantum system. The decoherence dynamics are described in the framework of the Lindblad master equation. Our model system allows for the encoding of one logical qubit in two physical qubits, where environment induced dephasing takes place.
The main difficulty is that effecting operations on the logical qubit introduces couplings with decohering states through the action of the available control fields on the physical qubits. We address this problem with optimal control theory based on Pontryagin’s maximum principle to find the global optimum for carrying out logical single qubit operations.