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On non-dissipative and dissipative qubit manifolds

Mathematical Physics 2013-06-28 v1 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1306.6450,
  title  = {On non-dissipative and dissipative qubit manifolds},
  author = {H. C. Peñate-Rodríguez and P. Bargueño and G. Rojas-Lorenzo and S. Miret-Artés},
  journal= {arXiv preprint arXiv:1306.6450},
  year   = {2013}
}

Comments

2 figures

R2 v1 2026-06-22T00:41:16.030Z