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Negative Quasiprobabilities Enhance Phase Estimation in Quantum-Optics Experiment

Negative Quasiprobabilities Enhance Phase Estimation in Quantum-Optics Experiment

Operator noncommutation, a hallmark of quantum theory, limits measurement precision, according to uncertainty principles. Wielded correctly, though, noncommutation can boost precision. A recent foundational result relates a metrological advantage with negative quasiprobabilities-quantum extensions of probabilities-engendered by noncommuting operators. We crystallize the relationship in an equation that we prove theoretically and …