AMO PHYSICS SEMINAR
"Symmetric minimal quantum tomography by successive measurements"
Centre for Quantum Technologies
National University of Singapore
We shall consider the implementation of a symmetric informationally complete probability-operator measurements (SIC POM) in the Hilbert space of a d-level system by a two-step measurement process: a diagonal-operator measurement with high-rank outcomes, followed by a rank-1 measurement in a basis chosen in accordance with the result of the first measurement. We find that any Heisenberg-Weyl group-covariant SIC POM can be realized by such a sequence where the second measurement is simply a measurement in the Fourier basis,
independent of the result of the first measurement. Furthermore, at
least for the particular cases studied, of dimension 2, 3, 4, and 8,
this scheme reveals an unexpected operational relation between
mutually unbiased bases and SIC POMs; the former are used to construct
the latter. As a laboratory application of the two-step measurement
process, we propose feasible optical experiments that would realize
SIC POMs in various dimensions.
Friday, October 19, 2012
IQSE 578, 2:00 p.m.
Mitchell Physics Building
Department of Physics and Astronomy
Texas A&M University
(Coffee and Cookies to be served at 1:45 p.m.)
Host: M. Suhail Zubairy
THE INSTITUTE FOR QUANTUM
SCIENCE AND ENGINEERING