Quantum-Enhanced Transmittance Sensing
arXiv:2208.06447 · doi:10.1109/JSTSP.2022.3222680
Abstract
We consider the problem of estimating unknown transmittance of a target bathed in thermal background light. As quantum estimation theory yields the fundamental limits, we employ the lossy thermal-noise bosonic channel model, which describes sensor-target interaction quantum mechanically in many practical active-illumination systems (e.g., using emissions at optical, microwave, or radio frequencies). We prove that quantum illumination using two-mode squeezed vacuum (TMSV) states asymptotically achieves minimal quantum Cramér-Rao bound (CRB) over all quantum states (not necessarily Gaussian) in the limit of low transmitted power. We characterize the optimal receiver structure for TMSV input, and show its advantage over other receivers using both analysis and Monte Carlo simulation.
Minor revision, 17 pages, 11 figures. in IEEE J. Sel. Top. Signal Process
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- Majorization theoretical approach to entanglement enhancement via local filtration
- Two-stage Quantum Estimation and the Asymptotics of Quantum-enhanced Transmittance Sensing