Parameter estimation in the presence of the most general Gaussian dissipative reservoir
arXiv:1609.03178 · doi:10.1103/PhysRevA.95.012109
Abstract
We analyze the performance of quantum parameter estimation in the presence of the most general Gaussian dissipative reservoir. We derive lower bounds on the precision of phase estimation and a closely related problem of frequency estimation. For both problems we show that it is impossible to achieve the Heisenberg limit asymptotically in the presence of such a reservoir. However, we also find that for any fixed number of probes used in the setup there exists a Gaussian dissipative reservoir, which, in principle, allows for the Heisenberg-limited performance for that number of probes. We discuss a realistic implementation of a frequency estimation scheme in the presence of a Gaussian dissipative reservoir in a cavity system.
arXiv comment11 pages, 4 figures, final version
References in corpus (42)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Cavity Optomechanics
- Advances in Quantum Metrology
- Quantum information with continuous variables
- Gaussian Quantum Information
- GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- On the Improvement of Frequency Stardards with Quantum Entanglement
- A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- The elusive Heisenberg limit in quantum enhanced metrology
- Quantum Metrology in Non-Markovian Environments
- Biological measurement beyond the quantum limit
- Quantum limits in optical interferometry
- A Quantum Rosetta Stone for Interferometry
- Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
- Using entanglement against noise in quantum metrology
- Improved quantum metrology using quantum error-correction
- Optimal states and almost optimal adaptive measurements for quantum interferometry
- Quantum Error Correction for Metrology
- Quantum parameter estimation using general single-mode Gaussian states
- Quantum parameter estimation using general single-mode Gaussian states
- Quantum-enhanced optical phase tracking
- Cavity-assisted squeezing of a mechanical oscillator
- Magnet field sensing beyond the standard quantum limit under the effect of decoherence
- Noisy metrology beyond the standard quantum limit
- Increasing sensing resolution with error correction
- Quantum interferometry with and without an external phase reference
- The ultimate precision limits for noisy frequency estimation
- Entanglement-enhanced probing of a delicate material system
- True precision limits in quantum metrology
- Coherent and Squeezed Vacuum Light Interferometry: Parity detection hits the Heisenberg limit
- Dynamical decoupling leads to improved scaling in noisy quantum metrology
- Squeezing of a movable mirror via the dissipative optomechanical coupling
- Exact closed master equation for Gaussian non-Markovian dynamics
- Universality of the Heisenberg limit for estimates of random phase shifts
- Heisenberg scaling in Gaussian quantum metrology
- Matrix product states for quantum metrology
- Coherent measurements in quantum metrology
- Effects of the reservoir squeezing on the precision of parameter estimation
Cited by in corpus (12)
- Adaptive quantum metrology under general Markovian noise
- Optimal Gaussian measurements for phase estimation in single-mode Gaussian metrology
- Fundamental limits to frequency estimation: A comprehensive microscopic perspective
- Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit
- Bounding the quantum limits of precision for phase estimation with loss and thermal noise
- Improving the precision of frequency estimation via long-time coherences
- Thermodynamic work cost of quantum estimation protocols
- Continuous-variable quantum sensing of a dissipative reservoir
- Noncommutative phase-space effects in thermal diffusion of Gaussian states
- Ancilla-assisted schemes are beneficial for Gaussian state phase estimation
- Gaussian phase sensitivity of boson-sampling-inspired strategies
- Quantum metrology with a non-linear kicked Mach-Zehnder interferometer