Experimental investigation of Bayesian bounds in multiparameter estimation
arXiv:2304.06405 · doi:10.1088/2058-9565/ac5124
Abstract
Quantum parameter estimation offers solid conceptual grounds for the design of sensors enjoying quantum advantage. This is realised not only by means of hardware supporting and exploiting quantum properties, but data analysis has its impact and relevance, too. In this respect, Bayesian methods have emerged as an effective and elegant solution, with the perk of incorporating naturally the availability of a priori information. In this article we present an evaluation of Bayesian methods for multiple phase estimation, assessed based on bounds that work beyond the usual limit of large samples assumed in parameter estimation. Importantly, such methods are applied to experimental data generated from the output statistics of a three-arm interferometer seeded by single photons. Our studies provide a blueprint for a more comprehensive data analysis in quantum metrology.
arXiv comment8 pages, 6 figures
References in corpus (46)
- Advances in Quantum Metrology
- Quantum metrology
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Quantum metrology from a quantum information science perspective
- Advances in Photonic Quantum Sensing
- Quantum Fisher information matrix and multiparameter estimation
- Entanglement-free Heisenberg-limited phase estimation
- Quantum enhanced measurements without entanglement
- Quantum Enhanced Multiple Phase Estimation
- Distributed quantum sensing in a continuous variable entangled network
- Adaptive homodyne measurement of optical phase
- A Geometric Perspective on Quantum Parameter Estimation
- Robust Online Hamiltonian Learning
- Efficient Bayesian Phase Estimation
- Machine Learning for Precise Quantum Measurement
- Multi-parameter estimation beyond Quantum Fisher Information
- Experimental Bayesian Quantum Phase Estimation on a Silicon Photonic Chip
- Thermally-Reconfigurable Quantum Photonic Circuits at Telecom Wavelength by Femtosecond Laser Micromachining
- Ab-initio Quantum Enhanced Optical Phase Estimation Using Real-time Feedback Control
- An Efficient Algorithm for Optimizing Adaptive Quantum Metrology Processes
- Gaussian systems for quantum enhanced multiple phase estimation
- Adaptive Optical Phase Estimation Using Time-Symmetric Quantum Smoothing
- Experimental multiphase estimation on a chip
- Experimental Phase Estimation Enhanced By Machine Learning
- The quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimation
- Multiparameter squeezing for optimal quantum enhancements in sensor networks
- -Corrected Heisenberg Limit
- Experimental optical phase measurement approaching the exact Heisenberg limit
- Bayesian multi-parameter quantum metrology with limited data
- Quantum metrology in the presence of limited data
- Differential Evolution for Many-Particle Adaptive Quantum Metrology
- Multiparameter quantum estimation of noisy phase shifts
- Frequentist and Bayesian Quantum Phase Estimation
- Quantum Metrological Bounds for Vector Parameter
- Interfacing scalable photonic platforms: solid-state based multi-photon interference in a reconfigurable glass chip
- Optimal estimation of multiple phases
- Bayesian estimation for quantum sensing in the absence of single-shot detection
- Neural-Network Heuristics for Adaptive Bayesian Quantum Estimation
- Robust calibration of multiparameter sensors via machine learning at the single-photon level
- Non-asymptotic analysis of quantum metrology protocols beyond the Cramér-Rao bound
- Bayesian Quantum Multiphase Estimation Algorithm
- Quantum sensors for dynamical tracking of chemical processes
- Multiphase estimation without a reference mode
- Quantum Weiss-Weinstein bounds for quantum metrology
- Assessing data postprocessing for quantum estimation
- Resource-efficient adaptive Bayesian tracking of magnetic fields with a quantum sensor