Exact modular \(S\) matrix for \(\mathbb{Z}_k\) parafermion quantum Hall Islands and measurement of non-abelian anyons

DOI10.7546/JGSP-62-2021-1-28OpenAlexW4205889728MaRDI QIDQ2110912

Lachezar S. Georgiev

Publication date: 23 December 2022

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03482

zbMATH Keywords

Hall statesnon-abelian anyonsnon-abelian interferenceparafermion quantum

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

• Unnamed Item
• Conformal field theory
• A universal conformal field theory approach to the chiral persistent currents in the mesoscopic fractional quantum Hall states
• Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
• Unitary representations of the Virasoro and super-Virasoro algebras
• A classification of quantum Hall fluids
• Affine orbifolds and rational conformal field theory extensions of \(W_{1+\infty}\)
• A modular functor which is universal for quantum computation
• Fault-tolerant quantum computation by anyons
• The resolution of field identification fixed points in diagonal coset theories
• From Dynkin diagram symmetries to fixed point structures
• Non-Abelian anyons and topological quantum computation
• SIMPLE CURRENTS, MODULAR INVARIANTS AND FIXED POINTS
• Parafermion Hall states from coset projections of abelian conformal theories
• Thermopower and thermoelectric power factor of \(\mathbb{Z}_k\) parafermion quantum dots

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