Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 40: Poster - Quantum Systems/ Stat. Phys./ Diffusive Process

DY 40.9: Poster

Thursday, April 3, 2014, 17:00–19:00, P3

All-electric qubit control in heavy hole quantum dots via non-Abelian geometric phases — •Dietrich Rothe¹, Jan Budich³, Hartmut Buhmann², Ewelina Hankiewciz¹, and Björn Trauzettel¹ — ¹Instit. für theoret. Physik, Universität Würzburg — ²Physikal. Institut, Universität Würzburg — ³Department of Physics, Stockholm University, Sweden

We demonstrate how non-Abelian geometric phases can be used to universally process a spin qubit in heavy hole quantum dots in the absence of magnetic fields. A time dependent electric quadrupole field is used to perform any desired single qubit operation by virtue of non-Abelian holonomy. During the proposed operations, the degeneracy of the time dependent two level system representing the qubit is not split. Since time reversal symmetry is preserved and hyperfine coupling is known to be weak in spin qubits based on heavy holes, we expect very long coherence times in the proposed setup.

Published in Phys. Rev. B 85, 205425 (2012). We acknowledge support by the DFG within SPP1285 (HA5893/1-2 and BU1113/3-2).