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Estimating the Schmidt numbers of quantum states via symmetric measurements

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arxiv 2505.02297 v3 pith:G3E7ZMW4 submitted 2025-05-05 quant-ph

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keywords schmidtquantumnumbersstatesmeasurementsnumbersymmetricadvantage
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The Schmidt numbers quantify the entanglement degree of quantum states. Quantum states with high Schmidt numbers provide a larger advantage in various quantum information processing tasks compared to quantum states with low Schmidt numbers. We derive a Schmidt number criterion based on the trace norm of the correlation matrix obtained from symmetric measurements. We show that our result is more effective than and superior to existing Schmidt number criteria by detailed examples.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exploring entanglement, Wigner negativity and Bell nonlocality for anisotropic two-qutrit states

    quant-ph 2025-06 reject novelty 3.0 of 10

    A numerical survey of three quantum resources for noisy anisotropic two-qutrit states, with an inconsistent Wigner computation and a known Bell-optimality result presented as new.

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