Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session W52: Photonic and Solid State Quantum Sensors
3:00 PM–6:00 PM,
Thursday, March 7, 2024
Room: 201AB
Sponsoring
Unit:
DQI
Chair: Anthony Brady, University of Arizona
Abstract: W52.00012 : Single parameter phase estimation for a sequence of measurements
5:12 PM–5:24 PM
Presenter:
Shreyas Sadugol
(Tulane University)
Author:
Shreyas Sadugol
(Tulane University)
To achieve this objective, we explore the suitability of “N00N” and “Gaussian” states as optimal input states within specific operational regimes. For single measurements, both N00N and Gaussian states offer excellent performance. Moving beyond single measurements, we extend our investigation to sequences of repeated measurements, encompassing both non-adaptive and fully adaptive measurement scenarios. Remarkably, N00N and Gaussian input states retain their proximity to optimality across these scenarios, enabling us to derive analytical formulae for optimal performance.
Building upon these analytical formulae, we formulate a comprehensive scaling formula that predicts the average number of measurements required to reduce phase uncertainty to a pre-defined target level. This scaling formula provides a valuable insight into the relationship between measurement repetition and uncertainty reduction.
To validate our theoretical findings, we employ Monte Carlo simulations along with frequentist inference. We conclude that the local non-adaptive approach emerges as the superior strategy for reducing phase uncertainty. Our study thus offers a comprehensive framework for phase uncertainty estimation in noiseless Mach–Zehnder interferometers, exploiting multi-photon entangled states, Bayesian inference, and optimal input state selection for both single and multiple measurements.
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