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arxiv: 1111.6032 · v1 · pith:6I6DI76Ynew · submitted 2011-11-25 · ❄️ cond-mat.str-el

Spin texture readout of a Moore-Read topological quantum register

classification ❄️ cond-mat.str-el
keywords moore-readquantumnon-abelianregisterspinstatetexturealgebraic
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We study the composite Charged Spin Texture (CST) over the Moore-Read quantum Hall state that arises when a collection of elementary CSTs are moved to the same location. Following an algebraic approach based on the characteristic pair correlations of the Moore-Read state, we find that the resulting CST is set by the fusion sector of the underlying non-Abelian quasiparticles. This phenomenon provides a novel way to read out the quantum register of a non-Abelian topologically ordered phase.

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