Non-adaptive Heisenberg-limited metrology with multi-channel homodyne measurements
arXiv:2110.03582 · doi:10.1140/epjp/s13360-021-02337-4
Abstract
We show a protocol achieving the ultimate Heisenberg-scaling sensitivity in the estimation of a parameter encoded in a generic linear network, without employing any auxiliary networks, and without the need of any prior information on the parameter nor on the network structure. As a result, this protocol does not require a prior coarse estimation of the parameter, nor an adaptation of the network. The scheme we analyse consists of a single-mode squeezed state and homodyne detectors in each of the output channels of the network encoding the parameter, making it feasible for experimental applications.
arXiv comment11 pages, 1 figure
References in corpus (31)
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Quantum optics in the phase space - A tutorial on Gaussian states
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- Distributed quantum sensing in a continuous variable entangled network
- Multi-parameter estimation in networked quantum sensors
- The creation of large photon-number path entanglement conditioned on photodetection
- Distributed Quantum Sensing Using Continuous-Variable Multipartite Entanglement
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Quantum optical technologies for metrology, sensing and imaging
- Optimal quantum-enhanced interferometry using a laser power source
- Demonstration of a Reconfigurable Entangled Radiofrequency-Photonic Sensor Network
- Optimal phase measurements with pure Gaussian states
- Phase estimation for thermal Gaussian states
- Optimal Gaussian measurements for phase estimation in single-mode Gaussian metrology
- Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
- Heisenberg-Scaling Measurement Protocol for Analytic Functions with Quantum Sensor Networks
- Distributed Quantum Metrology with a Single Squeezed-Vacuum Source
- Experimental demonstration of secure quantum remote sensing
- Cryptographic quantum metrology
- Cryptographic approach to Quantum Metrology
- Squeezing metrology: a unified framework
- Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit
- Heisenberg scaling precision in the estimation of functions of parameters
- Two-Mode Bosonic Quantum Metrology with Number Fluctuations
- Entanglement Enhanced Estimation of a Parameter Embedded in Multiple Phases
- Typicality of Heisenberg scaling precision in multi-mode quantum metrology
- Heisenberg scaling precision in multi-mode distributed quantum metrology