Coherence and contextuality in a Mach-Zehnder interferometer

Abstract

We analyse nonclassical resources in interference phenomena using generalized noncontextuality inequalities and basis-independent coherence witnesses. We use recently proposed inequalities that witness both resources within the same framework. We also propose, in view of previous contextual advantage results, a systematic way of applying these tools to characterize advantage provided by coherence and contextuality in quantum information protocols. We instantiate this methodology for the task of quantum interrogation, famously introduced by the paradigmatic bomb-testing interferometric experiment, showing contextual quantum advantage for such a task.

v1: 15+3 pages, 8+1 figures. v2: Accepted in Quantum. 28 pages

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• Semi-device independent characterization of multiphoton indistinguishability
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• Shadows and subsystems of generalized probabilistic theories: when tomographic incompleteness is not a loophole for contextuality proofs
• Certifying nonstabilizerness in quantum processors
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