Quantum parameter estimation of the frequency and damping of a harmonic oscillator
| Autor: | Patrick Binder, Daniel Braun |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Quantum Physics Estimation theory Gaussian FOS: Physical sciences Order (ring theory) Electron 01 natural sciences 010305 fluids & plasmas symbols.namesake Quantum harmonic oscillator Quantum mechanics 0103 physical sciences symbols Sensitivity (control systems) Quantum Physics (quant-ph) 010306 general physics Quantum Harmonic oscillator |
| Zdroj: | Physical Review A. 102 |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.102.012223 |
| Popis: | We determine the quantum Cram\'er-Rao bound for the precision with which the oscillator frequency and damping constant of a damped quantum harmonic oscillator in an arbitrary Gaussian state can be estimated. This goes beyond standard quantum parameter estimation of a single-mode Gaussian state for which typically a mode of fixed frequency is assumed. We present a scheme through which the frequency estimation can nevertheless be based on the known results for single-mode quantum parameter estimation with Gaussian states. Based on these results, we investigate the optimal measurement time. For measuring the oscillator frequency, our results unify previously known partial results and constitute an explicit solution for a general single-mode Gaussian state. Furthermore, we show that with existing carbon nanotube resonators see J. Chaste et al. [Nat. Nanotechnol. 7, 301 (2012)] it should be possible to achieve a mass sensitivity of the order of an electron mass ${\mathrm{Hz}}^{\ensuremath{-}1/2}$. |
| Databáze: | OpenAIRE |
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