Monday, April 16, 2012

1204.3044 (Fabio L. Pedrocchi et al.)

Non-abelian Majoranas and braiding in inhomogeneous spin ladders    [PDF]

Fabio L. Pedrocchi, Suhas Gangadharaiah, Stefano Chesi, Daniel Loss
We propose an inhomogeneous open spin ladder, related to the Kitaev honeycomb model, which can be tuned between topological and non-topological phases. In extension of Lieb's theorem, we show numerically that the ground state of the spin ladder is either vortex-free or vortex-full. At the phase-boundaries single Majorana states emerge which are proven to be robust against local perturbations and to obey non-abelian braiding statistics. We show that a network of such spin ladders provides a promising platform for topological quantum computing.
View original: http://arxiv.org/abs/1204.3044

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