Quantum metrology with precision reaching beyond-$1/N$ scaling through $N$-probe entanglement generating interactions

Abstract

Nonlinear interactions are recognized as potential resources for quantum metrology, facilitating parameter estimation precisions that scale as the exponential Heisenberg limit of $2^{-N}$. We explore such nonlinearity and propose an associated quantum measurement scenario based on the nonlinear interaction of $N$-probe entanglement generating form. This scenario provides an enhanced precision scaling of $D^{-N}/(N-1)!$ with $D>2$ a tunable parameter. In addition, it can be readily implemented in a variety of experimental platforms and applied to measurements of a wide range of quantities, including local gravitational acceleration $g$, magnetic field, and its higher-order gradients.

References in corpus (40)

• Quantum sensing
• Advances in Quantum Metrology
• Quantum-enhanced measurements: beating the standard quantum limit
• Quantum metrology
• NMR Techniques for Quantum Control and Computation
• Atomic quantum gases in periodically driven optical lattices
• On the Improvement of Frequency Stardards with Quantum Entanglement
• Quantum metrology from a quantum information science perspective
• Super-resolving phase measurements with a multi-photon entangled state
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Quantum Fisher information matrix and multiparameter estimation
• Direct Observation of Second Order Atom Tunnelling
• Quantum enhanced positioning and clock synchronization
• Quantum enhanced measurements without entanglement
• Generalized Limits for Single-Parameter Quantum Estimation
• Multi-parameter Quantum Metrology
• Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
• Deterministic entanglement generation from driving through quantum phase transitions
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Exponentially Enhanced Quantum Metrology
• Controlling Correlated Tunneling and Superexchange Interactions with AC-Driven Optical Lattices
• Measurements with prediction and retrodiction on the collective spin of 10^{11} atoms beat the standard quantum limit
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Beating the classical precision limit with spin-1 Dicke state of more than 10000 atoms
• Ab-initio Quantum Enhanced Optical Phase Estimation Using Real-time Feedback Control
• Cooling and entangling ultracold atoms in optical lattices
• Observation of Four-body Ring-exchange Interactions and Anyonic Fractional Statistics
• At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
• Experimental realization of plaquette resonating valence bond states with ultracold atoms in optical superlattices
• A nonlinear Ramsey interferometer operating beyond the Heisenberg limit
• Sub-Heisenberg estimation strategies are ineffective
• Does nonlinear metrology offer improved resolution? Answers from quantum information theory
• Generation and Detection of Atomic Spin Entanglement in Optical Lattices
• Minimum instances of topological matter in an optical plaquette
• 2D Superexchange mediated magnetization dynamics in an optical lattice
• Macroscopic spin tunneling and quantum critical behavior of a condensate in double-well potential
• Entanglement generation and multiparticle interferometry with neutral atoms
• Collective excitations of dipolar gases based on local tunneling in superlattices
• Synthesizing NMR analogues of Einstein-Podolsky-Rosen states using generalized Grover's algorithm
• The impact of spatial correlation on the tunneling dynamics of few-boson mixtures in a combined triple well and harmonic trap

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