nLab quantum topology

Contents

Context

Quantum systems

quantum logic


quantum physics


quantum probability theoryobservables and states


quantum information


quantum computation

qbit

quantum algorithms:


quantum sensing


quantum communication

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

Knot theory

Contents

Idea

In mathematics, the term quantum topology is used for the low-dimensional topology (such as knot theory) and related algebra (such as quantum groups) which is informed by Chern-Simons topological quantum field theory, and its various facets and generalizations.

In practice, the subject overlaps with the subject of quantum algebra (including in classifications at arXiv).

References

See also:

Last revised on June 29, 2024 at 06:23:49. See the history of this page for a list of all contributions to it.