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Entanglement and Extreme Spin Squeezing

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arxiv quant-ph/0011035 v2 pith:S4YNU67O submitted 2000-11-09 quant-ph

Entanglement and Extreme Spin Squeezing

classification quant-ph
keywords entanglementspinidentifyparticlesusedatomiccartesianclocks
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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For any mean value of a cartesian component of a spin vector we identify the smallest possible uncertainty in any of the orthogonal components. The corresponding states are optimal for spectroscopy and atomic clocks. We show that the results for different spin J can be used to identify entanglement and to quantity the depth of entanglement in systems with many particles. With the procedure developed in this letter, collective spin measurements on an ensemble of particles can be used as an experimental proof of multi-particle entanglement

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Cited by 2 Pith papers

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  1. The uncertainty geometry of finite-dimensional position and momentum

    quant-ph 2026-05 unverdicted novelty 7.0

    Covariance matrices for finite-dimensional DFT-related position-momentum pairs are fully characterized via unitary invariants, convex geometry, and SDP, yielding extremal states and application bounds.

  2. Entanglement Certification $-$ From Theory to Experiment

    quant-ph 2019-06 unverdicted

    Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.