Dissipative "Groups" and the Bloch Ball

Details Dissipative "Groups" and the Bloch Ball Dissipative "Groups" and the Bloch Ball

2002-11-06

arxiv.org/abs/quant-ph/0211027v1

Group 24: Physical and Mathematical Aspects of Symmetry, Institute of Physics Conference Series 173, p. 485 (2003)

Physics

Quantum Physics

4 pages. Proceedings of Group 24, Paris, July, 2002

Scientific paper

We 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.

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