Generalized measurements by linear elements
Quantum Physics
2009-11-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0108108,
title = {Generalized measurements by linear elements},
author = {John Calsamiglia},
journal= {arXiv preprint arXiv:quant-ph/0108108},
year = {2009}
}
Comments
4 pages. Submitted to Phys. Rev. A