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Q: Fachverband Quantenoptik und Photonik
Q 47: Quantum Information: Quantum Computer
Q 47.8: Talk
Thursday, March 17, 2011, 12:15–12:30, BAR Schön
Holonomic quantum computing using symmetry-protected topological order — •Joseph M. Renes1, Akimasa Miyake2, Gavin K. Brennen3, and Stephen D. Bartlett4 — 1TU Darmstadt, Darmstadt, Germany — 2Perimeter Institute, Waterloo, Canada — 3Macquarie University, Sydney, Australia — 4University of Sydney, Sydney, Australia
We propose an architecture for performing holonomic quantum computation via local adiabatic control of at most two-body nearest-neighbor interactions. Logical qubits are constructed from the degenerate gapped ground states of Haldane phase spin-1 chains, and logical gates are executed by manipulating the boundary spins. The computational scheme inherits significant robustness to disorder and noise from the symmetry-protected topological order of the Haldane phase. Similarity to the circuit model provides a means of ensuring fault-tolerance, and the architecture could feasibly be implemented with current state of the art technology. We illustrate this by describing an implementation based on ultracold polar molecules trapped in optical lattices.