Quantum topology

Quantum mechanics
\Delta x\, \Delta p \ge \frac{\hbar}{2}
Introduction
Glossary · History
Background
Bra-ket notation · Classical mechanics
Hamiltonian · Interference
Old quantum theory

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.[2]

See also

References

  1. ^ Quantum Topology and Quantum Computing by Louis H. Kauffman
  2. ^ Quantum Topology and Quantum Computing by Louis H. Kauffman

External links