Dynamical vector fields on the manifold of quantum states Articles uri icon

publication date

  • September 2017


  • 3 (1740003)


  • 24

International Standard Serial Number (ISSN)

  • 1230-1612

Electronic International Standard Serial Number (EISSN)

  • 1573-1324


  • In this paper we shall consider the stratified manifold of quantum states and the vector fields which act on it. In particular, we show that the infinitesimal generator of the GKLS evolution is composed of a generator of unitary transformations plus a gradient vector field along with a Kraus vector field transversal to the strata defined by the involutive distribution generated by the former ones.


  • quantum dynamical semigroups; dynamical systems