Quantum measurements are unitary evolutions followed by partial traces. Based
on that, we address the problem of the emergence of physical reality from the
quantum world by introducing a model that interpolates between weak and strong
non-selective measurements for qudits. Our model, which is based on generalized
observables and Heisenberg-Weyl operators, suggests that for high-dimensional
qudits, full information about the system can only be obtained by making the
system interact with not just one but several environmental qudits, following a
Quantum Darwinism framework.Comment: 12 pages, 2 figure