Topological phases of matter and quantum computation : AMS Special Session on Topological Phases of Matter and Quantum Computation, September 24-25, 2016, Brunswick, Maine / Paul Bruillard, Carlos Ortiz Marrero, Julia Plavnik, editors. - 1 online resource (242 pages). - Contemporary mathematics ; volume 747 . - Contemporary mathematics ; volume 747. .

Includes bibliographical references.

Lie theory for fusion categories : a research primer / Andrew Schopieray -- Entanglement and the Temperley-Lieb category / Michael Brannan and Benoit Collins -- Lifting shadings on symmetrically self-dual subfactor planar algebras / Zhengwei Liu, Scott Morrison, and David Penneys -- Q-systems and compact W*-algebra objects / Corey Jones and David Penneys -- Dimension as a quantum statistic and the classification of metaplectic categories / Paul Bruillard, Paul Gustafson, Julia Plavnik, and Eric Rowell -- The rank of G-crossed braided extensions of modular tensor categories / Marcel Bischoff -- Symmetry defects and their application to topological quantum computing / Colleen Delaney and Zhenghan Wang -- Topological quantum computation with gapped boundaries and boundary defects / Iris Cong and Zhenghan Wang -- Classification of gapped quantum liquid phases of matter / Xiao-Gang Wen -- Schur-type invariants of branched G-covers of surfaces / Eric Samperton -- Quantum error-correcting codes over finite Frobenius rings / Andreas Klappenecker, Sangjun Lee, and Andrew Nemec -- A short history of frames and quantum designs / Bernhard Bodmann and John Haas.

9781470454579 (e-book)


Quantum theory -- Quantum field theory; related classical field theories -- Axiomatic quantum field theory; operator algebras.
Quantum theory -- Groups and algebras in quantum theory -- Quantum groups and related algebraic methods.
Group theory and generalizations -- Linear algebraic groups and related topics.
Category theory; homological algebra.
Associative rings and algebras -- Modules, bimodules and ideals -- Module categories; module theory in a category-theoretic context; Morit.
$K$-theory -- Higher algebraic $K$-theory -- Symmetric monoidal categories.
Topological groups--Congresses.
Quantum groups--Congresses.
Quantum computing--Congresses.
Categories (Mathematics)--Congresses.


Electronic books.

QA76.889 / .A467 2020

006.3/843