Hardy's paradox and violation of a state-independent Bell inequality in time

Abstract

Tests such as Bell's inequality and Hardy's paradox show that joint probabilities and correlations between distant particles in quantum mechanics are inconsistent with local realistic theories. Here we experimentally demonstrate these concepts in the time domain, using a photonic entangling gate to perform nondestructive measurements on a single photon at different times. We show that Hardy's paradox is much stronger in time and demonstrate the violation of a temporal Bell inequality independent of the quantum state, including for fully mixed states.

Published Version, 4 pages, 3 figures. New, more boring title

References in corpus (6)

• State-independent experimental test of quantum contextuality
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• Probing quantumness with joint continuous measurements of non-commuting qubit observables
• A unified view on Hardy's paradox and the CHSH inequality
• The Hardy's nonlocality argument
• Hardy's Paradox and Measurement-disturbance Relations
• Translating Bell Non-Locality to Prepare-and-Measure Scenarios under Dimensional Constraints
• Quantum Entanglement in Time
• Many-Worlds Interpretation of Quantum Mechanics: A Paradoxical Picture