Observable bound for Gaussian illumination
arXiv:2106.12109 · doi:10.1103/PhysRevA.105.042412
Abstract
We propose observable bounds for Gaussian illumination to maximize the signal-to-noise ratio, which minimizes the discrimination error between the presence and absence of a low-reflectivity target using Gaussian states. The observable bounds are achieved with mode-by-mode measurements. In the quantum regime using a two-mode squeezed vacuum state, our observable receiver outperforms the other feasible receivers whereas it cannot approach the quantum Chernoff bound. The corresponding observable cannot be implemented with heterodyne detections due to the additional vacuum noise. In the classical regime using a thermal state, a receiver implemented with a photon number difference measurement approaches its bound regardless of the signal mean photon number, while it asymptotically approaches the classical bound in the limit of a huge idler mean photon number.
8 pages, 8 figures, close to the published version
References in corpus (15)
- Quantum Illumination with Gaussian States
- The Quantum Chernoff Bound
- Microwave Quantum Illumination
- Quantum Illumination at the Microwave Wavelengths
- Experimental realisation of quantum illumination
- Entanglement-Enhanced Sensing in a Lossy and Noisy Environment
- Gaussian-state quantum-illumination receivers for target detection
- Optimum mixed-state discrimination for noisy entanglement-enhanced sensing
- Computable bounds for the discrimination of Gaussian states
- The quantum Chernoff bound as a measure of distinguishability between density matrices: application to qubit and Gaussian states
- Local discrimination of mixed states
- Quantum Illumination with a generic Gaussian source
- Experimental investigation of linear-optics-based quantum target detection
- Gaussian State-Based Quantum Illumination with Simple Photodetection
- Surviving Entanglement in Optic-Microwave Conversion by Electro-Optomechanical System