Projective measurements in quantum and classical optical systems
Abstract
Experimental setups for the optical implementation of projective measurements in the Laguerre-Gaussian basis are discussed. Special attention is given to the case where the measurements are made with the aid of single-mode fibers that are used to extract the Gaussian component from an optical distribution. Although this setup can, under some conditions, implement the inner product operation accurately, the overlap with the Gaussian mode in the single-mode fiber often produces cross-talk among Laguerre-Gaussian modes with different radial indices. The extent of the cross-talk is analyzed quantitatively.
- Publication:
-
Physical Review A
- Pub Date:
- September 2014
- DOI:
- 10.1103/PhysRevA.90.033835
- Bibcode:
- 2014PhRvA..90c3835R
- Keywords:
-
- 42.50.Dv;
- 03.65.Wj;
- 42.50.Tx;
- 42.50.Ex;
- Nonclassical states of the electromagnetic field including entangled photon states;
- quantum state engineering and measurements;
- State reconstruction quantum tomography;
- Optical angular momentum and its quantum aspects;
- Optical implementations of quantum information processing and transfer