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.

Format:

Book

Conference/Event

Author/Creator:

Bruillard, Paul, 1984- editor.

Contributor:

Plavnik, Julia, 1985- editor.

Ortiz Marrero, Carlos, 1989- editor.

Conference Name:

AMS Special Session on Topological Phases of Matter and Quantum Computation (2016 : Brunswick, Me.), author.

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 747

Contemporary mathematics, 747 0271-4132

Language:

English

Subjects (All):

Topological groups--Congresses.

Topological groups.

Quantum groups--Congresses.

Quantum groups.

Quantum computing--Congresses.

Quantum computing.

Categories (Mathematics)--Congresses.

Categories (Mathematics).

Physical Description:

1 online resource (242 pages).

Edition:

1st ed.

Place of Publication:

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

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Description based on print version record.

Includes bibliographical references.

ISBN:

9781470454579

1470454572