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We show an estimation scheme which reaches the Heisenberg-scaling sensitivity in the estimation of the average of the optical phases along the two arms of a Mach-Zehnder interferometer, by using a single squeezed vacuum state and homodyne detection at a single output port. We show that, in order to achieve this quantum advantage, it is required only a classical prior knowledge about the two phases, namely obtainable with a classical estimation strategy with shot-noise limited precision.
Danilo Triggiani andVincenzo Tamma
"Estimation of the average of arbitrary unknown phase delays with Heisenberg-scaling precision", Proc. SPIE 12016, Optical and Quantum Sensing and Precision Metrology II, 120160H (2 March 2022); https://doi.org/10.1117/12.2618306
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Danilo Triggiani, Vincenzo Tamma, "Estimation of the average of arbitrary unknown phase delays with Heisenberg-scaling precision," Proc. SPIE 12016, Optical and Quantum Sensing and Precision Metrology II, 120160H (2 March 2022); https://doi.org/10.1117/12.2618306