Local versus Global Strategies in Multi-parameter Estimation

Abstract

We consider the problem of estimating multiple phases using a multi-mode interferometer. In this setting we show that while global strategies with multi-mode entanglement can lead to high precision gains, the same precision enhancements can be obtained with mode-separable states and local measurements. The crucial resource for quantum enhancement is shown to be a large number variance in the probe state, which can be obtained without any entanglement between the modes. This has important practical implications because local strategies using separable states have many advantages over global schemes using multi-mode-entangled states. Such advantages include a robustness to local estimation failure, more flexibility in the distribution of resources, and comparatively easier state preparation. We obtain our results by analyzing two different schemes: the first uses a set of interferometers, which can be used as a model for a network of quantum sensors, and the second looks at measuring a number of phases relative to a reference, which is concerned primarily with quantum imaging.

6 pages

References in corpus (8)

• Optical synthesis of large-amplitude squeezed coherent-state superpositions with minimal resources
• Quantum Imaging beyond the Diffraction Limit by Optical Centroid Measurements
• All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry
• Gaussian systems for quantum enhanced multiple phase estimation
• Triple Michelson Interferometer for a Third-Generation Gravitational Wave Detector
• Quantum correlations in optical metrology: Heisenberg-limited phase estimation without mode entanglement
• A search algorithm for quantum state engineering and metrology
• Multi-mode Entanglement is Detrimental to Lossy Optical Quantum Metrology

Cited by in corpus (59)

• Quantum Fisher information matrix and multiparameter estimation
• Quantum enhanced measurements without entanglement
• Distributed quantum sensing in a continuous variable entangled network
• Multi-parameter estimation in networked quantum sensors
• A Geometric Perspective on Quantum Parameter Estimation
• A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
• Distributed Quantum Metrology and the Entangling Power of Linear Networks
• Optimal measurements for simultaneous quantum estimation of multiple phases
• Quantum Plasmonic Sensors
• Attaining the ultimate precision limit in quantum state estimation
• Control-enhanced multiparameter quantum estimation
• Experimental multiphase estimation on a chip
• Tight bounds on the simultaneous estimation of incompatible parameters
• Bayesian multi-parameter quantum metrology with limited data
• Quantum metrology in the presence of limited data
• Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states
• Optimal Distributed quantum sensing using Gaussian states
• Quantum sensing networks for the estimation of linear functions
• Incompatibility in Quantum Parameter Estimation
• Distributed Quantum Metrology with a Single Squeezed-Vacuum Source
• Precision bounds for gradient magnetometry with atomic ensembles
• Designing quantum experiments with a genetic algorithm
• Basis-independent quantum coherence and its distribution
• On the quantumness of multiparameter estimation problems for qubit systems
• Multiphase estimation without a reference mode
• On the properties of the asymptotic incompatibility measure in multiparameter quantum estimation
• Digital Discovery of 100 diverse Quantum Experiments with PyTheus
• Protocols for estimating multiple functions with quantum sensor networks: geometry and performance
• Noise-robust quantum sensing via optimal multi-probe spectroscopy
• Estimating phase with a random generator: Strategies and resources in multiparameter quantum metrology
• Optimal mode configuration for multiple phase-matched four-wave mixing processes
• Quantum scale estimation
• Approximate decoherence free subspaces for distributed sensing
• Heisenberg-limited estimation robust to detector inefficiency in a multi-parameter Mach-Zehnder network with squeezed light
• Large baseline optical imaging assisted by single photons and linear quantum optics
• Distributed quantum phase sensing for arbitrary positive and negative weights
• Multiparameter estimation, lower bound on quantum Fisher information and non-Markovianity witnesses of noisy two-qubit systems
• Multiparameter estimation via an ensemble of spinor atoms
• Entanglement Enhanced Estimation of a Parameter Embedded in Multiple Phases
• Private and Robust States for Distributed Quantum Sensing
• Privacy in networks of quantum sensors
• High-dimensional cryptographic quantum parameter estimation
• Multi-parameter estimation with multi-mode Ramsey interferometry
• Overcoming Quantum Metrology Singularity through Sequential Measurements
• Multi-parameter quantum estimation of single- and two-mode pure Gaussian states
• Super-Resolution Imaging with Multiparameter Quantum Metrology in Passive Remote Sensing
• Metrological advantage at finite temperature for Gaussian phase estimation
• Optimal distributed multiparameter estimation in noisy environments
• Quantum-enhanced atomic gyroscope with tunable precision
• Fisher information susceptibility for multiparameter quantum estimation
• From Rényi Entropy Power to Information Scan of Quantum States
• Simultaneous estimation of multiple phases in generalised Mach-Zehnder interferometer
• Heisenberg-scaling sensitivity in the estimation of two parameters in a Mach-Zehnder interferometer
• Anonymous and private parameter estimation in networks of quantum sensors
• Optimal circular dichroism sensing with quantum light: Multi-parameter estimation approach
• Quantum-private distributed sensing
• Non-asymptotic quantum metrology
• Optimality of Gaussian receivers for practical Gaussian distributed sensing
• Distributed Quantum Sensing with Squeezed-Vacuum Light in a Configurable Network of Mach-Zehnder Interferometers