Duality relation and joint measurement in a Mach-Zehnder interferometer

Date: 2009-05-11
Authors N. -L. Liu, L. Li, S. Yu, and Z. -B. Chen
Journal No. Phys. Rev. A 79, 052108 (2009)
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.