04291nam 2200661 450 991048076690332120201009081603.01-4704-5457-2(CKB)4100000011040043(MiAaPQ)EBC6176734(EXLCZ)99410000001104004320200817d2020 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierTopological 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, editorsProvidence, Rhode Island :American Mathematical Society,[2020]©20201 online resource (242 pages)Contemporary mathematics ;volume 7471-4704-4074-1 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.Contemporary mathematics ;volume 747.Quantum theory -- Quantum field theory; related classical field theories -- Axiomatic quantum field theory; operator algebrasmscQuantum theory -- Groups and algebras in quantum theory -- Quantum groups and related algebraic methodsmscGroup theory and generalizations -- Linear algebraic groups and related topicsmscCategory theory; homological algebramscAssociative rings and algebras -- Modules, bimodules and ideals -- Module categories; module theory in a category-theoretic context; Moritmsc$K$-theory -- Higher algebraic $K$-theory -- Symmetric monoidal categoriesmscTopological groupsCongressesQuantum groupsCongressesQuantum computingCongressesCategories (Mathematics)CongressesElectronic books.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 groupsQuantum groupsQuantum computingCategories (Mathematics)006.3/843Plavnik Julia1985-Ortiz Marrero Carlos1989-Bruillard Paul1984-MiAaPQMiAaPQMiAaPQBOOK9910480766903321Topological phases of matter and quantum computation2182553UNINA