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• Perform singular decomposition on Ci and obtain a series of singular values σ1 ≥ σ2 ≥

Estimating the (local) intrinsic dimension We recall the last part of Step 2 in the previous appendix B, which accounts for the (local) intrinsic dimension estimation: • Define the

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Quantum Algorithm for Estimating Intrinsic Geometry

quant-ph · 2025-08-08 · reject · novelty 5.0

A quantum algorithm for local dimension and curvature estimation is proposed, but the claimed exponential speedup rests on unproven spectral-gap assumptions and an incorrect least-squares derivation.

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  • Quantum Algorithm for Estimating Intrinsic Geometry quant-ph · 2025-08-08 · reject · none · ref 3

    A quantum algorithm for local dimension and curvature estimation is proposed, but the claimed exponential speedup rests on unproven spectral-gap assumptions and an incorrect least-squares derivation.