The Hunt for Non-Abelian Statistics
from [Audio] Purdue University Physics Seminars Hosted by Yuli Lyanda-Geller
Search for non-Abelian statistics is driven both by the quest for a deeper understanding of nature and by prospects to eliminate the sensitivity of conventional quantum bits to the environment, opening a path for fault-tolerant quantum computing. The transformation of non-Abelions upon permutation depends only on the topology of the path of permutation and is not sensitive to its stretching, bending or twisting by local interactions, making non-Abelion-based qubits robust to environmental noise. Non-Abelian statistics requires degeneracies in many-body spectrum, and our work is aimed at search of degeneracies leading to non-Abelions in various systems.
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