Le contenu de cette page n’est pas disponible en français. Veuillez nous en excuser.
 

Symmetric informationally complete measurements: Can we make big ones out of small ones?

Recording Details

Speaker(s): 
Scientific Areas: 
Collection/Series: 
PIRSA Number: 
09120023

Abstract

For a quantum system with a d-dimensional Hilbert space, a symmetric informationally complete measurement (SIC) can be thought of as a set of d^2 pure states all having the same overlap. Constructions of SICs for composite systems usually do not make use of the composite structure but treat the system as a whole. Indeed for some cases, one can prove that a SIC cannot have the symmetry that one naturally associates with the composite structure.
In this talk I give one example showing how a SIC for three qubits can be constructed from SICs for the individual qubits. I ask whether the strategy used in this example might apply to other composite cases.