Linear optics implementation of weak values in Hardy's paradox

Abstract

We propose an experimental setup for the implementation of weak measurements in the context of the gedankenexperiment known as Hardy's Paradox. As Aharonov et al. showed, these weak values form a language with which the paradox can be resolved. Our analysis shows that this language is indeed consistent and experimentally testable. It also reveals exactly how a combination of weak values can give rise to an apparently paradoxical result.

4 pages, accepted by PRA

References in corpus (4)

• Revisiting Hardy's Paradox: Counterfactual Statements, Real Measurements, Entanglement and Weak Values
• Measurements, errors, and negative kinetic energy
• Optical telecom networks as weak quantum measurements with post- selection
• Weak Measurement of the Arrival Times of Single Photons and Pairs of Entangled Photons

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• Robust Weak Measurements on Finite Samples
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• No contextual advantage in non-paradoxical scenarios of two state vector formalism
• Interplay between strong and weak measurement: Comparison of three experimental approaches to weak value estimation
• Is Hardy's paradox a paradox?