Useful Multiparticle Entanglement and Sub-Shot-Noise Sensitivity in Experimental Phase Estimation

Abstract

We experimentally demonstrate a general criterion to identify entangled states useful for the estimation of an unknown phase shift with a sensitivity higher than the shot-noise limit. We show how to exploit this entanglement on the examples of a maximum likelihood as well as of a Bayesian phase estimation protocol. Using an entangled four-photon state we achieve a phase sensitivity clearly beyond the shot-noise limit. Our detailed comparison of methods and quantum states for entanglement enhanced metrology reveals the connection between multiparticle entanglement and sub-shot-noise uncertainty, both in a frequentist and in a Bayesian phase estimation setting.

4 pages, 4 figures

References in corpus (6)

• Nonlinear atom interferometer surpasses classical precision limit
• Beating the Standard Quantum Limit with Four Entangled Photons
• Experimental entanglement of a six-photon symmetric Dicke state
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Entanglement-enhanced measurement of a completely unknown phase
• Phase detection at the quantum limit with multi-photon Mach-Zehnder interferometry

Cited by in corpus (79)

• Quantum metrology with nonclassical states of atomic ensembles
• Quantum metrology from a quantum information science perspective
• Quantum limits in optical interferometry
• Fisher Information and entanglement of non-Gaussian spin states
• Photonic polarization gears for ultra-sensitive angular measurements
• Detecting multiparticle entanglement of Dicke states
• Sensitivity Bounds for Multiparameter Quantum Metrology
• Multipartite Entanglement Witnesses
• Extremal properties of the variance and the quantum Fisher information
• Quantum Advantage in Postselected Metrology
• Quantum interferometry with three-dimensional geometry
• Quantum metrology for non-linear phase shifts with entangled coherent states
• Parity Measurement is Sufficient for Phase Estimation at the Quantum Cramer-Rao Bound for Path-Symmetric States
• Testing the Structure of Multipartite Entanglement with Bell Inequalities
• Spin-mixing Interferometry with Bose-Einstein Condensates
• Self-testing multipartite entangled states through projections onto two systems
• Experimental Phase Estimation Enhanced By Machine Learning
• Random bosonic states for robust quantum metrology
• Spin squeezing and entanglement for arbitrary spin
• Quantum states with a positive partial transpose are useful for metrology
• Phase sensitivity bounds for two-mode interferometers
• Frequentist and Bayesian Quantum Phase Estimation
• Scalable multiphoton quantum metrology with neither pre- nor post-selected measurements
• Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states
• Metrological characterisation of non-Gaussian entangled states of superconducting qubits
• Properties and Applications of the Kirkwood-Dirac Distribution
• Coherence in Cooperative Photon Emission from Indistinguishable Quantum Emitters
• Asymptotic role of entanglement in quantum metrology
• Detecting metrologically useful entanglement in the vicinity of Dicke states
• Optimal witnessing of the quantum Fisher information with few measurements
• Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
• Activating hidden metrological usefulness
• Steady state properties of a driven atomic ensemble with non-local dissipation
• Uncertainty relations with the variance and the quantum Fisher information based on convex decompositions of density matrices
• Genuine Multipartite Entanglement without Multipartite Correlations
• Entanglement-Enhanced Optical Atomic Clocks
• Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit
• Robust estimation of the Quantum Fisher Information on a quantum processor
• Experimental Schmidt Decomposition and Entanglement Detection
• Quantum Fisher Information of an Open and Noisy System in the Steady State
• On-chip generation and collectively coherent control of the superposition of the whole family of Dicke states
• Many-particle entanglement criterion for superradiant-like states
• Practical Limits of Error Correction for Quantum Metrology
• Optimal Conventional Measurements for Quantum-Enhanced Interferometry
• Activation of metrologically useful genuine multipartite entanglement
• Extreme spin squeezing in the steady state of a generalized Dicke model
• Frequentist Parameter Estimation with Supervised Learning
• Density Matrix Recursion Method: Genuine Multisite Entanglement Distinguishes Odd from Even Quantum Heisenberg Ladders
• Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles
• Double-port measurements for robust quantum optical metrology
• Optimized parameter estimation in the presence of collective phase noise
• Entanglement detection from channel parameter estimation problem
• Double-Fock Superposition Interferometry for Differential Diagnosis of Decoherence
• Quantum Metrology with Delegated Tasks
• Continuous variable multipartite vibrational entanglement
• Efficient preparation of Dicke states
• Optimized state independent entanglement detection based on geometrical threshold criterion
• Verifying the security of a continuous variable quantum communication protocol via quantum metrology
• Heralded W state preparation using laser-designed super-atoms
• Alternatives of entanglement depth and metrological entanglement criteria
• Efficient two-mode interferometers with spinor Bose-Einstein condensates
• Quantum noise generated by local random Hamiltonians
• Magnetic-field gradiometer based on ultracold collisions
• Entanglement Dynamics between Ising Spins and a Central Ancilla
• Effects of the reservoir squeezing on the precision of parameter estimation
• Quantum metrology enhanced by the $XY$ spin interaction in a generalized Tavis-Cummings model
• Even- and odd-orthogonality properties of the Wigner D-matrix and their metrological applications
• Iterative optimization in quantum metrology and entanglement theory using semidefinite programming
• Quantum enhanced estimation of optical detector efficiencies
• Quantum-enhanced multiparameter estimation in multiarm interferometers
• Experimental demonstration of the Bell-type inequalities for four qubit Dicke state using IBM Quantum Processing Units
• $su(d)$-squeezing and many-body entanglement geometry in finite-dimensional systems
• Globally optimal interferometry with lossy twin Fock probes
• Dicke subsystems are entangled
• Unraveling quantum phase estimation: exploring the impact of multi-photon interference on the quantum Fisher information
• Entanglement in the Dicke subspace
• Fractional shot noise of an SU(N) Kondo system
• On Negativity and Quantum Fisher Information of an Open and Noisy System in the Steady State
• No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing