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Dissipative "Groups" and the Bloch Ball

Solomon, Allan I. and Schirmer, Sonia G. (2002). Dissipative "Groups" and the Bloch Ball. In: Proceedings of Group 24, Physical and Mathematical Aspects of Symmetry, Institute of Physics Conference Series, Jul 2002, Paris, France.

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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.

Item Type: Conference or Workshop Item
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 4892
Depositing User: Users 6041 not found.
Date Deposited: 14 Jul 2006
Last Modified: 04 Oct 2016 09:53
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