Mathematics

Research results from University of Queensland update knowledge of physics

  2008 NOV 24 - (VerticalNews.com) -- According to a study from Australia, "We explicitly compute the optimal cost for a class of example problems in geometric quantum control."

  "These problems are defined by a Cartan decomposition of su(2(n)) into orthogonal subspaces l and p such that [l, l] subset of p, [p, l] = p, [p, p] subset of l. Motion in the l direction is assumed to have negligible cost, where motion in the p direction does not," wrote M. Gu and colleagues, University of Queensland.

  The researchers concluded: "In the special case of two qubits, our results correspond to the minimal interaction cost of a given unitary."

  Gu and colleagues published the results of their research in Physical Review a (Quantum control via geometry: An explicit example. Physical Review a, 2008;78(3):2327).

  For additional information, contact M. Gu, University of Queensland, Dept. of Physics, St. Lucia, Qld 4072, Australia.

  The publisher of the journal Physical Review a can be contacted at: American Physical Society, One Physics Ellipse, College Pk, MD 20740-3844, USA.

  Keywords: Geometry, MathematicsPhysics, University of Queensland.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2008, VerticalNews Mathematics via VerticalNews.com.