Frankfurt 2006 – wissenschaftliches Programm
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MO: Molekülphysik
MO 53: Molecular Quantum Computing
MO 53.1: Fachvortrag
Donnerstag, 16. März 2006, 14:00–14:30, H12
Efficient implementation of three-qubit quantum gates and experimental demonstration by NMR — •Björn Heitmann1, Navin Khaneja2, Haidong Yuan2, Andreas Spörl1, Thomas Schulte-Herbrüggen1, and Steffen J. Glaser1 — 1Department Chemie, TU München, Lichtenbergstrasse 4, 85747 Garching, Germany — 2Division of Applied Sciences, Harvard University, Cambridge, MA 02138, USA
High resolution nuclear magnetic resonance (NMR) currently provides one of the most advanced approaches for the experimental realization of quantum computing concepts. In this talk efficient ways to synthesize quantum gates in three-qubit systems by creating effective interactions between indirectly coupled spins. More specifically, we provide an efficient synthesis of a CNOT gate between two spins that are indirectly coupled via Ising-type couplings to a third spin. Our implementation of the CNOT gate is twice as fast as conventional approaches. This efficient realization of the quantum gate corresponds to computing sub-Riemannian geodesics (1,2) on the unitary group. We provide an experimental realization of the fast indirect CNOT gate on a linear three-spin chain with Ising couplings. The new methods have important applications in quantum information processing and coherent spectroscopy.
References: (1) N. Khaneja, R. W. Brockett, S. J. Glaser, Time Optimal Control in Spin Systems, Phys. Rev. A 63, 03208 2001.
(2) N. Khaneja, S. J. Glaser, R. W. Brockett, Sub-Riemannian Geometry and Time Optimal Control of Three Spin Systems: Quantum Gates and Coherence Transfer, Phys. Rev. A, 65, 032301 2002.