1.

Record Nr.

UNINA9910813171203321

Autore

Bruillard Paul <1984->

Titolo

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

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2020]

©2020

ISBN

1-4704-5457-2

Descrizione fisica

1 online resource (242 pages)

Collana

Contemporary mathematics, ; 747 , 0271-4132

Classificazione

81R5016D9081T0520G4218D1019D23

Disciplina

006.3/843

Soggetti

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

Quantum groups

Quantum computing

Categories (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.