Duality relation and joint measurement in a Mach-Zehnder Interferometer
Quantum Physics
2009-05-12 v3
Abstract
The Mach-Zehnder interferometric setup quantitatively characterizing the wave-particle duality implements in fact a joint measurement of two unsharp observables. We present a necessary and sufficient condition for such a pair of unsharp observables to be jointly measurable. The condition is shown to be equivalent to a duality inequality, which for the optimal strategy of extracting the which-path information is more stringent than the Jaeger-Shimony-Vaidman-Englert inequality.
Cite
@article{arxiv.0712.3653,
title = {Duality relation and joint measurement in a Mach-Zehnder Interferometer},
author = {Nai-Le Liu and Li Li and Sixia Yu and Zeng-Bing Chen},
journal= {arXiv preprint arXiv:0712.3653},
year = {2009}
}
Comments
6 pages, 2 figures, title changed, presentation improved, appendix added, references updated, final version as published in PRA