by
Dardo Goyeneche(Jagiellonian University, Krakow, Poland)
→
Europe/Stockholm
A4:1069
A4:1069
Description
We study the problem of introducing free parameters in quantum
measurements having a prescribed symmetry. We show that the resolution of
a linear system of equations provides the full answer to the entire
problem in some relevant cases. As consequence, we show that known maximal
sets of mutually unbiased bases and symmetric informationally complete
POVM are isolated in dimensions four to sixteen. Our results are robust
under the consideration of finite precision in vectors defining quantum
measurements.