Differential geometry of quantum computing

Howard E. Brandt

doi:10.1117/12.785542

23 April 2008 Differential geometry of quantum computing

Howard E. Brandt

Proceedings Volume 6976, Quantum Information and Computation VI; 69760X (2008) https://doi.org/10.1117/12.785542
Event: SPIE Defense and Security Symposium, 2008, Orlando, Florida, United States

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.

Citation Download Citation

Howard E. Brandt "Differential geometry of quantum computing", Proc. SPIE 6976, Quantum Information and Computation VI, 69760X (23 April 2008); https://doi.org/10.1117/12.785542

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