Quantum topology

Short description: Study of quantum mechanics through low-dimensional topology

Quantum topology is a branch of mathematics that connects quantum mechanics with low-dimensional topology.

Dirac notation provides a viewpoint of quantum mechanics which becomes amplified into a framework that can embrace the amplitudes associated with topological spaces and the related embedding of one space within another such as knots and links in three-dimensional space. This bra–ket notation of kets and bras can be generalised, becoming maps of vector spaces associated with topological spaces that allow tensor products.[1]

Topological entanglement involving linking and braiding can be intuitively related to quantum entanglement.[1]

## See also

* Topological quantum field theory
* Reshetikhin–Turaev invariant

## References

1. ↑ 1.0 1.1 Kauffman, Louis H.; Baadhio, Randy A. (1993). Quantum Topology. River Edge, NJ: World Scientific. ISBN 981-02-1544-4.

## External links

* Quantum Topology, a journal published by EMS Publishing House

0.00

(0 votes)

Original source: https://en.wikipedia.org/wiki/Quantum topology. Read more

|

Retrieved from "https://handwiki.org/wiki/index.php?title=Physics:Quantum_topology&oldid=2182228"