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# Semidefinite Programming

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  1. arXiv

    Two-qutrit steering detection turns to correlation-enhanced quantum reservoirs: unseen Werner-state accuracy reaches 96%, and new steerable partially entangled states are flagged

    Deciding whether a mixed two-qutrit state is steerable has relied on semidefinite programming over a finite measurement set, and that does not necessarily carry over to a different state family. Correlation-enhanced quantum reservoir processing (CEQRP) adds two-body spin-correlation readouts from a spin-1 reservoir to the feature vector, letting logistic regression reach high accuracy on unseen Werner and isotropic states. With training augmented by samples certified by two steering criteria, classifiers flagged partially entangled states whose steerability semidefinite programming then independently confirmed using seven projective measurement settings.

  2. arXiv

    Laughlin gap lower bound raised about fivefold: the certificate is now searched, not hand-picked

    The same Fock-space inequality argument, with its auxiliary operators chosen by a semidefinite-program search, raises the certified lower bound on the gap above the Laughlin state to roughly five times the previous constant, with the new certificate checked in exact rational arithmetic.

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