English

Geometry of pure states of N spin-J system

Quantum Physics 2010-06-14 v1 Mathematical Physics math.MP

Abstract

We present the geometry of pure states of an ensemble of N spin-J systems using a generalisation of the Majorana representation. The approach is based on Schur-Weyl duality that allows for simple interpretation of the state transformation under the action of general linear and permutation groups. We show an exemplary application in theory of decoherence free subspaces and noiseless subsystems.

Keywords

Cite

@article{arxiv.0910.3075,
  title  = {Geometry of pure states of N spin-J system},
  author = {Piotr Kolenderski},
  journal= {arXiv preprint arXiv:0910.3075},
  year   = {2010}
}