Implementation of quantum operations on single-photon qudits
Bing He, János A. Bergou, Zhiyong Wang · Physical Review A · 2007
We show that a general linear transformation from one single photon qudit to another, the dimension of which can be either equal or unequal to that of the first one, can be implemented by linear optics. As an application of the scheme we elaborate a method to deterministically realize any finite-element positive operator-valued measure on single photon signals, which is also generalizable to any quantum system in principle.