We put forward a reconstruction scheme prompted by the relation between a von Neumann measurement and the corresponding informationally complete measurement induced in a relevant reconstruction subspace. This method is specially suited for the full tomography of complex quantum systems, where the intricacies of the detection part of the experiment can be greatly reduced provided some prior information is available. In broader terms this shows the importance of \sugg{this often-disregarded} prior information in quantum theory. The proposed technique is illustrated with an experimental tomography of photonic vortices of moderate dimension.
@article{arxiv.0912.1234,
title = {Full tomography from compatible measurements},
author = {J. Rehacek and Z. Hradil and Z. Bouchal and R. Celechovsky and I. Rigas and L. L. Sanchez-Soto},
journal= {arXiv preprint arXiv:0912.1234},
year = {2010}
}
Comments
4 pages, 5 eps-color figures. To be published in Physical Review Letters