1306.6450 (H. C. Peñate-Rodríguez et al.)

On non-dissipative and dissipative qubit manifolds    [PDF]

H. C. Peñate-Rodríguez, P. Bargueño, G. Rojas-Lorenzo, S. Miret-Artés

The trajectories of a qubit dynamics over the two-sphere are shown to be geodesics of certain Riemannian or physically-sound Lorentzian manifolds, both in the non-dissipative and dissipative formalisms, when using action-angle variables. Several aspects of the geometry and topology of these manifolds (qubit manifolds) have been studied for some special physical cases.

View original: http://arxiv.org/abs/1306.6450