Fundamental quantum limits to waveform detection
arXiv:1204.3697 · doi:10.1103/PhysRevA.86.042115
Abstract
Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of time-varying signals have been a subject of intense research and debate. Drawing insights from quantum information theory, quantum detection theory, and quantum measurement theory, here we prove lower error bounds for waveform detection via a quantum system, settling the long-standing problem. In the case of optomechanical force detection, we derive analytic expressions for the bounds in some cases of interest and discuss how the limits can be approached using quantum control techniques.
v1: first draft, 5 pages; v2: updated and extended, 5 pages + appendices, 2 figures; v3: 8 pages and 3 figures
References in corpus (7)
- Quantum Illumination with Gaussian States
- Quantum Optomechanics - throwing a glance
- Gaussian-state quantum-illumination receivers for target detection
- Establishing EPR-channels between Nanomechanics and Atomic Ensembles
- Evading quantum mechanics
- Demonstration of near-Optimal Discrimination of Optical Coherent States
- Observation of back-action cancellation in interferometric and weak force measurements