04399nam 2200661 450 991079406540332120220825042455.01-4704-5457-2(CKB)4100000011040043(MiAaPQ)EBC6176734(RPAM)21408617(EXLCZ)99410000001104004320220822h2020 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,7470271-4132Includes 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 (American Mathematical Society).7470271-4132Quantum 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)CongressesQuantum 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)006.3/84381R5016D9081T0520G4218D1019D23mscBruillard Paul1984-1473720Plavnik Julia1985-Ortiz Marrero Carlos1989-MiAaPQMiAaPQMiAaPQBOOK9910794065403321Topological phases of matter and quantum computation3687024UNINA