Spin texture readout of a moore-read topological quantum register

Area of Science:

• Condensed Matter Physics
• Quantum Information Science

Background:

• The Moore-Read quantum Hall state hosts exotic quasiparticles.
• Composite Charged Spin Textures (CSTs) emerge from coalescing elementary CSTs.

Purpose of the Study:

• To investigate the nature of composite CSTs in the Moore-Read state.
• To establish a connection between CSTs and non-Abelian quasiparticle properties.

Main Methods:

• Utilizing an algebraic approach.
• Analyzing characteristic pair correlations of the Moore-Read state.

Main Results:

• The spin texture of a composite CST is dictated by the fusion sector of its constituent non-Abelian quasiparticles.
• This reveals a direct link between topological order and emergent spin textures.

Conclusions:

• Composite CSTs provide a novel readout mechanism for quantum information stored in non-Abelian topological phases.
• This work bridges the understanding of spin textures and non-Abelian statistics.