Experimental quantum-enhanced response function estimation
arXiv:2007.15564 · doi:10.1103/PhysRevA.103.042602
Abstract
Characterizing a system often demands learning its response function to an applied field. Such knowledge is rooted on the experimental evaluation of punctual fiducial response and interpolation to access prediction at arbitrary values. Quantum metrological resources are known to provide enhancement in assessing these fiducial points, but the implications for improved function estimation have only recently been explored, and have not been yet demonstrated. Here we show an experimental realization of function estimation based on a photonic achitecture. The phase response of a liquid-crystal to a voltage has been reconstructed by means of quantum and classical phase estimation, providing evidence of the superiority of the former and highlighting the interplay between punctual statistical error and interpolation error. Our results show how quantum resources should successfully be employed to access the rich information contained in continuous signals.
References in corpus (33)
- Quantum sensing
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Quantum metrology with nonclassical states of atomic ensembles
- Advances in Photonic Quantum Sensing
- Quantum Fisher information matrix and multiparameter estimation
- Quantum limits in optical interferometry
- A Quantum Rosetta Stone for Interferometry
- Quantum Enhanced Multiple Phase Estimation
- Multi-parameter Quantum Metrology
- Quantum enhanced estimation of a multi-dimensional field
- Unconditional violation of the shot noise limit in photonic quantum metrology
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Quantum-enhanced optical phase tracking
- Fundamental Quantum Limit to Waveform Estimation
- Optimal measurements for simultaneous quantum estimation of multiple phases
- Multi-parameter estimation beyond Quantum Fisher Information
- Adaptive Optical Phase Estimation Using Time-Symmetric Quantum Smoothing
- Experimental multiphase estimation on a chip
- Quantum Semiparametric Estimation
- The quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimation
- Multiparameter quantum estimation of noisy phase shifts
- Signal tracking beyond the time resolution of an atomic sensor by Kalman filtering
- Spectrum analysis with quantum dynamical systems
- Stochastic Heisenberg limit: Optimal estimation of a fluctuating phase
- Adaptive tracking of a time-varying field with a quantum sensor
- Standard Quantum Limit and Heisenberg Limit in Function Estimation
- Adaptive Tracking of Enzymatic Reactions with Quantum Light
- Entanglement-enhanced radio-frequency field detection and waveform sensing
- Semiparametric estimation for incoherent optical imaging
- Estimation of fluctuating magnetic fields by an atomic magnetometer
- Estimating a fluctuating magnetic field with a continuously monitored atomic ensemble
- Adaptive estimation of a time-varying phase with coherent states: smoothing can give an unbounded improvement over filtering