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arxiv: 0712.3653 · v3 · submitted 2007-12-21 · 🪐 quant-ph

Duality relation and joint measurement in a Mach-Zehnder Interferometer

classification 🪐 quant-ph
keywords dualityconditioninequalityjointmach-zehndermeasurementobservablesunsharp
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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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