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Proceedings Paper

Differential geometry of quantum computing
Author(s): Howard E. Brandt
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Paper Abstract

An expository review is given of recent developments in the differential geometry of quantum computation. Descriptions are given of the appropriate Riemannian geometry of the special unitary unimodular group in 2n- dimensions, including the choice of metric, connection, curvature tensor, and optimal geodesics for achieving minimal complexity quantum computations.

Paper Details

Date Published: 23 April 2008
PDF: 10 pages
Proc. SPIE 6976, Quantum Information and Computation VI, 69760X (23 April 2008); doi: 10.1117/12.785542
Show Author Affiliations
Howard E. Brandt, Army Research Lab. (United States)

Published in SPIE Proceedings Vol. 6976:
Quantum Information and Computation VI
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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