TOPOLOGICAL PHASES OF MATTER AND QUANTUM COMPUTATION

TOPOLOGICAL PHASES OF MATTER AND QUANTUM COMPUTATION

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 betwee...

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Bibliographic Details
Format: eBook
Language:English
Published: [S.l.] : AMER MATHEMATICAL SOC, 2020.
Series:Contemporary Mathematics Ser.
Subjects:
Topological groups > Congresses.
Quantum groups > Congresses.
Quantum computing > Congresses.
Categories (Mathematics) > Congresses.
Categories (Mathematics)
Quantum computing
Quantum groups
Topological groups
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.
Conference papers and proceedings
Online Access:Click for online access
Description
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 topi.
Physical Description:1 online resource
Bibliography:References -- Quantum error-correcting codes over finite Frobenius rings -- 1. Introduction -- 2. Discretization and Nice Rings -- 3. Quantum Error-Correcting Codes -- 4. Quadratic Residue Codes -- 5. Conclusions -- References -- A short history of frames and quantum designs -- 1. Introduction -- 2. From quantum state tomography to quantum designs -- 3. Known quantum 2-designs -- References -- Back Cover
ISBN:9781470454579
1470454572

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