Düsseldorf 2007 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 7: Quanteninformation (Ionen)
Q 7.2: Talk
Monday, March 19, 2007, 15:15–15:30, 5L
Error-resistant Single Qubit Gates with Trapped Ions — •Nuala Timoney1, Vladamir Elman1, Cornelius Weiss1, Michael Johanning1, Werner Neuhauser2, and Christoph Wunderlich1 — 1Fachbereich Physik, Universität Siegen, 57068 Siegen — 2Institut für Laser-Physik, Universität Hamburg
Coherent operations constitutive for the implementation of single and multi-qubit quantum gates with trapped ions are demonstrated that are robust against variations in experimental parameters and intrinsically indeterministic system parameters. In particular, single qubit gates developed using optimal control theory [1] are demonstrated for the first time with trapped ions. Their performance as a function of error parameters is systematically investigated and compared to composite pulses [2].
The two level quantum mechanical system is realized on the S1/2(F=0) ↔ S1/2(F=1, mF=0) transition in 171Yb+ confined in a Paul trap, driven by microwave radiation close to 12.6 GHz. Shaped pulses and composite pulses have been realized that are specifically designed to tackle off-resonance errors, timing errors, or power variations of the driving field.
Good agreement is seen between simulated results and the measured ones. Higher experimental fidelities are obtained with the aforementioned shaped and composite pulses over an extended parameter regime than with a simple pulse. [1] T.E. Skinner, T.O. Reiss, B. Luy, N. Khaneja and S. Glaser, J. Mag. Res. 163, 8 (2003). [2] H. Cummins, G. Llewellyn, and J. Jones, Phys. Rev. A 67, 042308 (2003)