Symmetry defects and their application to topological quantum computing

DOI10.1090/conm/747/15042zbMath1442.18037arXiv1811.02143OpenAlexW3013155696MaRDI QIDQ3296039

Zhenghan Wang, Colleen Delaney

Publication date: 3 July 2020

Published in: Topological Phases of Matter and Quantum Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02143

Mathematics Subject Classification ID

Quantum computation (81P68) Topological quantum field theories (aspects of differential topology) (57R56) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (2)

Beyond anyons ⋮ Mathematics of topological quantum computing

Cites Work

• Unnamed Item
• Unnamed Item
• A finiteness property for braided fusion categories
• Universal quantum computation with weakly integral anyons
• Fusion categories and homotopy theory
• On gauging symmetry of modular categories
• Anyons in an exactly solved model and beyond
• Tensor categories with fusion rules of self-duality for finite abelian groups
• Reflection and time reversal symmetry enriched topological phases of matter: path integrals, non-orientable manifolds, and anomalies
• Local unitary representations of the braid group and their applications to quantum computing
• Measurement-Only Topological Quantum Computation
• Dimension as a quantum statistic and the classification of metaplectic categories
• The rank of 𝐺-crossed braided extensions of modular tensor categories
• Topological qubit design and leakage
• Tensor Categories

This page was built for publication: Symmetry defects and their application to topological quantum computing