Macroscopic approach to N-qudit systems

Abstract

We develop a general scheme for an analysis of macroscopic N-qudit systems which includes: (a) a scheme to organize the information obtained from collective measurements in the form of distribution functions in a discrete low-dimensional space; (b) a set of collective operators appropriate for the characterization of N-qudit states; (c) two collective tomographic protocols both for general and fully symmetric N-qudit states. The example of N-qutrits is analyzed in detail and compared to the N-qubit case.