Riemann curvature in quantum computational geometry

Howard E. Brandt

doi:10.1117/12.820876

27 April 2009 Riemann curvature in quantum computational geometry

Howard E. Brandt

Proceedings Volume 7342, Quantum Information and Computation VII; 734208 (2009) https://doi.org/10.1117/12.820876
Event: SPIE Defense, Security, and Sensing, 2009, Orlando, Florida, United States

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.

Citation Download Citation

Howard E. Brandt "Riemann curvature in quantum computational geometry", Proc. SPIE 7342, Quantum Information and Computation VII, 734208 (27 April 2009); https://doi.org/10.1117/12.820876

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