Duality relation and joint measurement in a Mach-Zehnder Interferometer

Details Duality relation and joint measurement in a Mach-Zehnder Interferometer Duality relation and joint measurement in a Mach-Zehnder Interferometer

2007-12-21

arxiv.org/abs/0712.3653v3

Phys. Rev. A 79, 052108 (2009)

Physics

Quantum Physics

6 pages, 2 figures, title changed, presentation improved, appendix added, references updated, final version as published in PR

Scientific paper

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.

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