Braid group

The n-th braid group consist of all different ways n strings can be braided. The generators are all the over-crossings and under-crossings of neighbouring strings. They can be also imagined as world lines of n particles in 2 dimensions which changes its order.

Examples

The generators σi + 1 and σi − 1: braid.jpgAnd the transformation like:knot.jpgis not a braid.

Applications

The braid group plays key-role in the topological computing.

Category:Mathematical Structure Category:Models of Quantum Computation

Last modified: 
Monday, October 26, 2015 - 17:37