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Author Archives: T.F. Havel

1 Jan 2004

A Bloch-Sphere-Type Model for Two Qubits in the Geometric Algebra of a 6-D Euclidean Vector Space

by T.F. Havel | posted in: Conference Proceedings | 0

Geometric algebra is a mathematical structure that is inherent in any metric vector space, and defined by the requirement that the metric tensor is given by the scalar part of the product of vectors. It provides a natural framework in … Continued

1 Jan 2002

Interaction and Entanglement in the Multiparticle Spacetime Algebra

by T.F. Havel | posted in: Conference Proceedings | 0

The multiparticle spacetime algebra (MSTA) is an extension of Dirac theory to a multiparticle setting, which was first studied by Doran, Gull and Lasenby. The geometric interpretation of this algebra, which it inherits from its one-particle factors, possesses a number … Continued

1 Jan 2000

Geometric algebra in quantum information processing

by T.F. Havel | posted in: Conference Proceedings | 0

This paper presents an intuitive geometric model for multiqubit quantum systems, which is formulated using geometric (aka Clifford) algebras. First, it is shown how Euclidean spinors may be interpreted as entities in the geometric algebra of a Euclidean vector space. … Continued

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