Non-Abelian braiding of graph vertices in a superconducting processor.

ABSTRACT: Indistinguishability of particles is a fundamental principle of quantum mechanics¹. For all elementary and quasiparticles observed to date-including fermions, bosons and Abelian anyons-this principle guarantees that the braiding of identical particles leaves the system unchanged^2,3. However, in two spatial dimensions, an intriguing possibility exists: braiding of non-Abelian anyons causes rotations in a space of topologically degenerate wavefunctions^4-8. Hence, it can change the observables of the system without violating the principle of indistinguishability. Despite the well-developed mathematical description of non-Abelian anyons and numerous theoretical proposals^9-22, the experimental observation of their exchange statistics has remained elus

SUBMITTER: Google Quantum AI and Collaborators 

PROVIDER: S-EPMC10247379 | biostudies-literature | 2023 Jun

REPOSITORIES: biostudies-literature