Spectrum analysis with quantum dynamical systems
arXiv:1603.02137 · doi:10.1103/PhysRevA.93.042121
Abstract
Measuring the power spectral density of a stochastic process, such as a stochastic force or magnetic field, is a fundamental task in many sensing applications. Quantum noise is becoming a major limiting factor to such a task in future technology, especially in optomechanics for temperature, stochastic gravitational wave, and decoherence measurements. Motivated by this concern, here we prove a measurement-independent quantum limit to the accuracy of estimating the spectrum parameters of a classical stochastic process coupled to a quantum dynamical system. We demonstrate our results by analyzing the data from a continuous optical phase estimation experiment and showing that the experimental performance with homodyne detection is close to the quantum limit. We further propose a spectral photon counting method that can attain quantum-optimal performance for weak modulation and a coherent-state input, with an error scaling superior to that of homodyne detection at low signal-to-noise ratios.
arXiv comment12 pages, 4 figures
References in corpus (37)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Cavity Optomechanics
- Universal Linear Optics
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- The elusive Heisenberg limit in quantum enhanced metrology
- GW150914: The Advanced LIGO Detectors in the Era of First Discoveries
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- Longer-Baseline Telescopes Using Quantum Repeaters
- GW150914: Implications for the stochastic gravitational wave background from binary black holes
- An Upper Limit on the Stochastic Gravitational-Wave Background of Cosmological Origin
- Individual quantum probes for optimal thermometry
- Quantum-enhanced optical phase tracking
- Fundamental Quantum Limit to Waveform Estimation
- Robust Online Hamiltonian Learning
- Fisher information in quantum statistics
- Sensing of Fluctuating Nanoscale Magnetic Fields Using NV Centres in Diamond
- The Fisher information and the quantum Cramer-Rao sensitivity limit of continuous measurements
- Ziv-Zakai Error Bounds for Quantum Parameter Estimation
- Optomechanical sensing of spontaneous wave-function collapse
- Quantum Limits of Thermometry
- Quantum metrology with open dynamical systems
- Qubit thermometry for micromechanical resonators
- Adaptive Optical Phase Estimation Using Time-Symmetric Quantum Smoothing
- Interferometric superlocalization of two incoherent optical point sources
- The quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimation
- Quantum probes for the spectral properties of a classical environment
- Testing spontaneous wave-function collapse models on classical mechanical oscillators
- Precision Measurements of Temperature and Chemical Potential of Quantum Gases
- Quantum-Limited Mirror-Motion Estimation
- Quantum Nonlocality in Weak-Thermal-Light Interferometry
- Quantum transition-edge detectors
- Quantum Metrology: Extended Convexity of Quantum Fisher Information
- Quantum parameter estimation affected by unitary disturbance
- Fundamental quantum limits to waveform detection
- On quantum interferometric measurements of temperature
- Optomechanical parameter estimation
- Quantum optimality of photon counting for temperature measurement of thermal astronomical sources
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- Quantum-enhanced dark matter detection with in-cavity control: mitigating the Rayleigh curse
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