Dissipative "Groups" and the Bloch Ball

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dc.creatorSolomon, Allan I.
dc.creatorSchirmer, Sonia G.
dc.date2002-11-06
dc.date.accessioned2026-07-07T06:05:24Z
dc.date.available2026-07-07T06:05:24Z
dc.descriptionWe show that a quantum control procedure on a two-level system including dissipation gives rise to a semi-group corresponding to the Lie algebra semi-direct sum gl(3,R)+R^3. The physical evolution may be modelled by the action of this semi-group on a 3-vector as it moves inside the Bloch sphere, in the Bloch ball.
dc.description4 pages. Proceedings of Group 24, Paris, July, 2002
dc.identifierhttps://arxiv.org/abs/quant-ph/0211027
dc.identifierhttp://arxiv.org/abs/quant-ph/0211027
dc.identifierGroup 24: Physical and Mathematical Aspects of Symmetry, Institute of Physics Conference Series 173, p. 485 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90624
dc.subjectQuantum Physics
dc.titleDissipative "Groups" and the Bloch Ball
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