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Proceedings Paper

Riemann curvature in quantum computational geometry
Author(s): Howard E. Brandt
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Paper Abstract

In the Riemannian geometry of quantum computation, the quantum evolution is described in terms of the special unitary group SU(2n) of n-qubit unitary operators with unit determinant. To elaborate on one aspect of the methodology, the Riemann curvature and sectional curvature are explicitly derived using the Lie algebra su(2n). This is important for investigations of the global characteristics of geodesic paths in the group manifold.

Paper Details

Date Published: 27 April 2009
PDF: 11 pages
Proc. SPIE 7342, Quantum Information and Computation VII, 734208 (27 April 2009); doi: 10.1117/12.820876
Show Author Affiliations
Howard E. Brandt, U.S. Army Research Lab. (United States)

Published in SPIE Proceedings Vol. 7342:
Quantum Information and Computation VII
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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