2001/08/23 by John Calsamiglia
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.65.030301
published as Phys. Rev. A 65, 030301(R) (2002) · 4 pages. Submitted to Phys. Rev. A
arxiv created 2001/08/23 · arxiv updated 2009/12/01
I give a first characterization of the class of generalized measurements that can be exactly realized on a pair of qudits encoded in indistinguishable particles, by using only linear elements and particle detectors. Two immediate results follow from this characterization. (i) The Schmidt number of each POVM element cannot exceed the number of initial particles. This rules out any possibility of performing perfect Bell-measurements for qudits. (ii) The maximum probability of performing a generalized incomplete Bell-measurement is 1/2.