Signal detection without finite-energy limits to quantum resolution
arXiv:1203.4325 · doi:10.1016/j.aop.2012.12.004
Abstract
We show that there are extremely simple signal detection schemes where the finiteness of energy resources places no limit to the resolution. On the contrary, larger resolution can be obtained with lower energy. To this end the generator of the signal-dependent transformation encoding the signal information on the probe state must be different from the energy. We show that the larger the deviation of the probe state from being minimum-uncertainty state, the better the resolution.
5 pages, 3 figures
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- Adaptive estimation of a time-varying phase with a power-law spectrum via continuous squeezed states
- Adaptive estimation of a time-varying phase with coherent states: smoothing can give an unbounded improvement over filtering