1. There is no recent review on the fast developing field of quantum tomography. The latest mathematical advances astonishingly generalized and simplified the tomographic algorithms with respect to the original cumbersome formulas based on orthogonal polynomial identities. Some of the recent literature can be recovered from the references of this Letter. A simple very recent tutorial is given in Ref. [2], whereas a minimal self-contained sketch of the most recent methods based on spanning sets of operators is given in the present Letter along with the very recent Ref. [20]. Old reviews—mostly devoted to quantum homodyne tomography—that could be useful for an introductory reading are Refs. [3–5]
2. G.M. D'Ariano, in: Tomographic methods for universal estimation in quantum optics, Scuola “E. Fermi” on Experimental Quantum Computation and Information, Varenna, June 17–27, 2001, Editrice Compositori, Bologna, in press
3. Measuring the Quantum State of Light, Measuring the Quantum State of Light;Leonhardt,1997
4. Measuring Quantum States;D'Ariano,1997
5. II Homodyne Detection and Quantum-State Reconstruction