Spin texture readout of a Moore-Read topological quantum register

Abstract

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.

4 pages, 6 figures

References in corpus (7)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Mapping the braiding properties of the Moore-Read state
• Skyrmions in the Moore-Read state at nu=5/2
• Charged spin textures over the Moore-Read quantum Hall state