Hierarchy of inequalities for quantitative duality
Quantum Physics
2007-06-28 v1
Abstract
We derive different relations quantifying duality in a generic two-way interferometer. These relations set different upper bounds to the visibility V of the fringes measured at the output port of the interferometer. A hierarchy of inequalities is presented which exhibits the influence of the availability to the experimenter of different sources of which-way information contributing to the total distinguishability D of the ways. For mixed states and unbalanced interferometers an inequality is derived, V^2+ Xi^2 \leq 1, which can be more stringent than the one associated with the distinguishability (V^2+ D^2 \leq 1).
Cite
@article{arxiv.0706.3902,
title = {Hierarchy of inequalities for quantitative duality},
author = {Jesus Martinez-Linares},
journal= {arXiv preprint arXiv:0706.3902},
year = {2007}
}