Estimation of a parameter encoded in the modal structure of a light beam: a quantum theory
arXiv:2201.04050 · doi:10.1364/OPTICA.491368
Abstract
Quantum light is described not only by a quantum state but also by the shape of the electromagnetic modes on which the state is defined. Optical precision measurements often estimate a ``mode parameter'' that determines properties such as frequency, temporal shape and the spatial distribution of the light field. By deriving quantum precision limits, we establish the fundamental bounds for mode parameter estimation. Our results reveal explicit mode-design recipes that enable the estimation of any mode parameter with quantum enhanced precision. Our approach provides practical methods for optimizing mode parameter estimation with relevant applications, including spatial and temporal positioning, spectroscopy, phase estimation, and superresolution imaging.
arXiv comment5 + 11 pages
References in corpus (21)
- Advances in Quantum Metrology
- Quantum metrology with nonclassical states of atomic ensembles
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum limits in optical interferometry
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- Photonic polarization gears for ultra-sensitive angular measurements
- Modes and states in Quantum Optics
- Quantum parameter estimation using general single-mode Gaussian states
- Quantum parameter estimation using general single-mode Gaussian states
- Far-field Superresolution of Thermal Electromagnetic Sources at the Quantum Limit
- Ultimate precision bound of quantum and sub-wavelength imaging
- Quantum Fisher information for states in exponential form
- Ultimate sensitivity of precision measurements with Gaussian quantum light : a multi-modal approach
- Quantum limits in the measurement of very small displacements in optical images
- Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes
- Resolving starlight: a quantum perspective
- Simple expression for the quantum Fisher information matrix
- Quantum-limited time-frequency estimation through mode-selective photon measurement
- Quantum improvement of time transfer between remote clocks
- Phase space formalism for quantum estimation of Gaussian states
- Quantum Noise in Multipixel Image Processing
Cited by in corpus (6)
- Advances in quantum imaging
- Heisenberg-Limited Quantum Lidar for Joint Range and Velocity Estimation
- Approaching maximal precision of Hong-Ou-Mandel interferometry with non-perfect visibility
- Optimum classical beam position sensing
- Interferometric binary phase estimations
- Towards Quantum Limited Spatial Resolution of NV-Diamond Magnetometry