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A Representation of Quantum Operations on Two Q-bits in the Geometric Algebra of a Six-Dimensional Euclidean Vector Space

Research Group: 
Mathematical Analysis, Modelling, and Applications
Speaker: 
T. F. Havel
Institution: 
MIT
Schedule: 
Wednesday, November 10, 2004 - 06:30 to 07:30
Location: 
room B
Abstract: 

We extend recent work by Khaneja, Whaley and others on the Lie algebra of the unitary group for two Q-bits to more general quantum operations, using a well-known Lie algebra isomorphism between su(4) and so(6) to construct a purely Euclidean model that is amenable to analysis by geometric algebra methods.

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