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Quantum metrology with nonclassical states of atomic ensembles

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abstract

Quantum technologies exploit entanglement to revolutionize computing, measurements, and communications. This has stimulated the research in different areas of physics to engineer and manipulate fragile many-particle entangled states. Progress has been particularly rapid for atoms. Thanks to the large and tunable nonlinearities and the well developed techniques for trapping, controlling and counting, many groundbreaking experiments have demonstrated the generation of entangled states of trapped ions, cold and ultracold gases of neutral atoms. Moreover, atoms can couple strongly to external forces and light fields, which makes them ideal for ultra-precise sensing and time keeping. All these factors call for generating non-classical atomic states designed for phase estimation in atomic clocks and atom interferometers, exploiting many-body entanglement to increase the sensitivity of precision measurements. The goal of this article is to review and illustrate the theory and the experiments with atomic ensembles that have demonstrated many-particle entanglement and quantum-enhanced metrology.

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Optimal Probe State for Phase Estimation Under Covariant Measurement

quant-ph · 2026-06-16 · unverdicted · novelty 7.0

Optimal probe states for phase estimation under covariant measurements are given by the principal eigenvector of a Toeplitz matrix constructed from the cost function, achieving Heisenberg scaling for a specific cost.

Estimating the best separable approximation of non-pure spin-squeezed states

quant-ph · 2025-04-10 · unverdicted · novelty 6.0

Lower bounds on the best separable approximation distance for non-pure spin-squeezed states are obtained from the complete set of spin-squeezing inequalities, with symmetry-exploiting optimization for upper bounds, revealing finite-temperature entanglement in ordered phases of the XXZ model.

Entanglement Requirements for Coherent Enhancement in Detectors

hep-ph · 2026-05-08 · unverdicted · novelty 6.0

Coherent enhancement in detectors is quantitatively constrained by single-mode entanglement entropy, with general bounds on scaling with system size that interpolate between incoherent and fully coherent regimes.

From spin squeezing to fast state discrimination

quant-ph · 2024-10-29 · unverdicted · novelty 5.0

In the large-N limit, spin squeezing torsion yields a nonlinear qubit governed by the two-state Gross-Pitaevskii equation that solves single-input state discrimination on the Bloch sphere.

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  • From spin squeezing to fast state discrimination quant-ph · 2024-10-29 · unverdicted · none · ref 13 · internal anchor

    In the large-N limit, spin squeezing torsion yields a nonlinear qubit governed by the two-state Gross-Pitaevskii equation that solves single-input state discrimination on the Bloch sphere.