Hi all, Tomorrow, Lucas Kocia, a postdoc in Peter Love's group, will talk at group meeting. We'll be in Mallinckrodt 217 (in the Department Center) instead of the Div Room this week, but still at 3:30. The title and abstract for Lucas' talk are below. See you there, and best Ian ----------------- Title: Phase Space Dynamics in Discrete Hilbert Spaces: Stabilizer States in Odd Dimensions Abstract: I will introduce a phase space picture of qudits of odd dimension based on a discrete Wigner-Weyl formalism. Within this framework, we will explore the discrete analogue of Gaussians---stabilizer states---and study their dynamics under unitary gates expanded in powers of Planck's constant. We will find that the action of the so-called Clifford operators, on stabilizer states, is “classical”, and have underlying harmonic Hamiltonians. Such operations have no dependence on phase or quantum interference just like in the continuous case harmonic evolution is completely classical. We will then find that this phase space approach turns out to be useful in defining the computational complexity of the T-gate, which is necessary to supplement the Clifford operators and attain quantum universality.