Topological quantum computation within the anyonic system the Kauffman-Jones version of SU(2) Chern-Simons theory at level 4

2015/01/12 by Claire Levaillant, Claire I. Levaillant, Levaillant, Claire I.
Computer Science · Mathematics · Physics and Astronomy · #20F36 #81P15 #81P40 #81P68 #81R10 #81R50 #FOS: Mathematics #FOS: Physical sciences #Quantum Algebra (math.QA) #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum many-body systems #math.QA #msc:20F36 #msc:81P15 #msc:81P40 #msc:81P68 #msc:81R10 #msc:81R50 #quant-ph

paper · pdf · doi:10.48550/arxiv.1501.02841

63 pages, 57 figures

openalex publication_date 2015/01/12 · arxiv created 2015/04/07 · arxiv updated 2015/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide ways to turn ancillas into phase gates (chapter 1), leading to irrational phase gates (chapter 2). We realize all the 2-qubit permutation gates (chapter 3).

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• Topological Quantum Computation
• Quantum Field Theories, Topological Materials, and Topological Quantum Computing
• Topological quantum computation assisted by phase transitions
• Topological Quantum Computing
• Making a circulant 2-qubit entangling gate