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Topological Phases of Matter and Quantum Computation
About this Title
Paul Bruillard, Pacific Northwest National Laboratory, Richland, WA, Carlos Ortiz Marrero, Pacific Northwest National Laboratory, Richland, WA and Julia Plavnik, Indiana University, Bloomington, IN, Editors
Publication: Contemporary Mathematics
Publication Year:
2020; Volume 747
ISBNs: 978-1-4704-4074-9 (print); 978-1-4704-5457-9 (online)
DOI: https://doi.org/10.1090/conm/747
Table of Contents
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Front/Back Matter
Articles
- Andrew Schopieray – Lie theory for fusion categories: A research primer
- Michael Brannan and Benoît Collins – Entanglement and the Temperley-Lieb category
- Zhengwei Liu, Scott Morrison and David Penneys – Lifting shadings on symmetrically self-dual subfactor planar algebras
- Corey Jones and David Penneys – Q-systems and compact W*-algebra objects
- Paul Bruillard, Paul Gustafson, Julia Yael Plavnik and Eric C. Rowell – Dimension as a quantum statistic and the classification of metaplectic categories
- Marcel Bischoff – The rank of $G$-crossed braided extensions of modular tensor categories
- Colleen Delaney and Zhenghan Wang – Symmetry defects and their application to topological quantum computing
- Iris Cong and Zhenghan Wang – Topological quantum computation with gapped boundaries and boundary defects
- Xiao-Gang Wen – Classification of gapped quantum liquid phases of matter
- Eric Samperton – Schur-type invariants of branched $G$-covers of surfaces
- Andreas Klappenecker, Sangjun Lee and Andrew Nemec – Quantum error-correcting codes over finite Frobenius rings
- Bernhard G. Bodmann and John I. Haas – A short history of frames and quantum designs