Topological phases of matter and quantum computation : AMS special session, Topological Phases of Matter and Quantum Computation, September 24-25, 2016, Bowdoin College, Brunswick, Maine
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書誌事項
Topological phases of matter and quantum computation : AMS special session, Topological Phases of Matter and Quantum Computation, September 24-25, 2016, Bowdoin College, Brunswick, Maine
（Contemporary mathematics, 747）
American Mathematical Society, c2020
- : pbk
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Topological phases of matter and qc
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the AMS Special Session on Topological Phases of Matter and Quantum Computation, held from September 24-25, 2016, at Bowdoin College, Brunswick, Maine.
Topological quantum computing has exploded in popularity in recent years. Sitting at the triple point between mathematics, physics, and computer science, it has the potential to revolutionize sub-disciplines in these fields. The academic importance of this field has been recognized in physics through the 2016 Nobel Prize. In mathematics, some of the 1990 Fields Medals were awarded for developments in topics that nowadays are fundamental tools for the study of topological quantum computation. Moreover, the practical importance of this discipline has been underscored by recent industry investments.
The relative youth of this field combined with a high degree of interest in it makes now an excellent time to get involved. Furthermore, the cross-disciplinary nature of topological quantum computing provides an unprecedented number of opportunities for cross-pollination of mathematics, physics, and computer science. This can be seen in the variety of works contained in this volume. With articles coming from mathematics, physics, and computer science, this volume aims to provide a taste of different sub-disciplines for novices and a wealth of new perspectives for veteran researchers. Regardless of your point of entry into topological quantum computing or your experience level, this volume has something for you.
目次
A. Schopieray, Lie theory for fusion categories: A research primer
M. Brannan and B. Collins, Entanglement and the Temperley-Lieb category
Z. Liu, S. Morrison, and D. Penneys, Lifting shadings on symmetrically self-dual subfactor planar algebras
C. Jones and D. Penneys, Q-systems and compact W*-algebra objects
P. Bruillard, P. Gustafson, J. Y. Plavnik, and E. C. Rowell, Dimension as a quantum statistic and the classification of metaplectic categories
M. Bischoff, The rank of $G$-crossed braided extensions of modular tensor categories
C. Delaney and Z. Wang, Symmetry defects and their application to topological quantum computing
I. Cong and Z. Wang, Topological quantum computation with gapped boundaries and boundary defects
X.-G. Wen, Classification of gapped quantum liquid phases of matter
E. Samperton, Schur-type invariants of branched $G$-covers of surfaces
A. Klappenecker, S. Lee, and A. Nemec, Quantum error-correcting codes over finite Frobenius rings
B. G. Bodmann and J. I. Haas, A short history of frames and quantum designs.
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