6533b872fe1ef96bd12d3716

RESEARCH PRODUCT

Knot Theory, Jones Polynomial and Quantum Computing

Rusins Freivalds

subject

Classical mathematicsPure mathematicsComputer scienceComputationCalculusJones polynomialQuantum field theoryMathematics::Geometric TopologyTime complexityPhysics::History of PhysicsTopology (chemistry)Quantum computerKnot theory

description

Knot theory emerged in the nineteenth century for needs of physics and chemistry as these needs were understood those days. After that the interest of physicists and chemists was lost for about a century. Nowadays knot theory has made a comeback. Knot theory and other areas of topology are no more considered as abstract areas of classical mathematics remote from anything of practical interest. They have made deep impact on quantum field theory, quantum computation and complexity of computation.

https://doi.org/10.1007/11549345_2