Generalized measurements by linear elements

Details Generalized measurements by linear elements Generalized measurements by linear elements

2001-08-23

arxiv.org/abs/quant-ph/0108108v1

Phys. Rev. A 65, 030301(R) (2002)

Physics

Quantum Physics

4 pages. Submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.65.030301

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.

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