Quantum Cramer-Rao Precision Limit of Noisy Continuous Sensing
arXiv:2504.12400 · doi:10.1103/ltfw-4fwn
Abstract
Quantum sensors hold considerable promise for precision measurement, yet their capabilities are inherently constrained by environmental noise. A fundamental task in quantum sensing is determining the precision limit of noisy sensor devices. For continuously monitored quantum sensors, characterizing the optimal precision in the presence of environments other than the measurement channel is an outstanding open theoretical challenge, due to the infinite-dimensional nature of the sensor output field and the complex temporal correlation of the photons therein. Here, we establish a numerically efficient method to determine the quantum Cramer-Rao bound for continuously monitored quantum sensors subject to general environmental noise -- Markovian or non-Markovian, and showcase its application with paradigmatic models of continuously monitored quantum sensors. Applicable to both constant-parameter and waveform estimation, our method provides a rigorous and practical framework for assessing and enhancing the sensor performance in realistic settings, with broad applications across experimental quantum physics.
published version
References in corpus (44)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Open Quantum Systems. An Introduction
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- The elusive Heisenberg limit in quantum enhanced metrology
- Matrix product states represent ground states faithfully
- Quantum Fisher information matrix and multiparameter estimation
- Time-evolution methods for matrix-product states
- Quantum Metrology in Non-Markovian Environments
- Continuous Matrix Product States for Quantum Fields
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Quantum back action evading measurement of motion in a negative mass reference frame
- Fundamental Quantum Limit to Waveform Estimation
- Magnet field sensing beyond the standard quantum limit under the effect of decoherence
- Quantum Measurement Theory in Gravitational-Wave Detectors
- Enhanced metrology at the critical point of a many-body Rydberg atomic system
- The ultimate precision limits for noisy frequency estimation
- Criticality-Enhanced Quantum Sensing via Continuous Measurement
- The Fisher information and the quantum Cramer-Rao sensitivity limit of continuous measurements
- Adaptive quantum metrology under general Markovian noise
- Efficient Generation of Generic Entanglement
- Quantum metrology with open dynamical systems
- Simultaneous tracking of spin angle and amplitude beyond classical limits
- Holographic quantum states
- Emergence of typical entanglement in two-party random processes
- Quantum metrology for non-Markovian processes
- Continuous sensing and parameter estimation with the boundary time-crystal
- Open systems with error bounds: spin boson model with spectral density variations
- Multigrid Algorithms for Tensor Network States
- Efficient Information Retrieval for Sensing via Continuous Measurement
- Tensor-Network Approach for Quantum Metrology in Many-Body Quantum Systems
- Stochastic Heisenberg limit: Optimal estimation of a fluctuating phase
- Fisher informations and local asymptotic normality for continuous-time quantum Markov processes
- Criticality-enhanced Electric Field Gradient Sensor with Single Trapped Ions
- Systematic coarse-graining of environments for the non-perturbative simulation of open quantum systems
- Nonlinearity-Enhanced Continuous Microwave Detection Based on Stochastic Resonance
- Fundamental limits of pulsed quantum light spectroscopy: Dipole moment estimation
- Adaptive measurement filter: efficient strategy for optimal estimation of quantum Markov chains
- Adaptive estimation of a time-varying phase with coherent states: smoothing can give an unbounded improvement over filtering
- Non-perturbative treatment of open-system multi-time expectation values in Gaussian bosonic environments
- A tensor network approach to sensing quantum light-matter interactions
- Qubit readout and quantum sensing with pulses of quantum radiation
- Quantum reversal: a general theory of coherent quantum absorbers