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Fu-Min Wang

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Preprint Sep 2026

The cost of direction in quantum Bell certification

Certifying a quantum bound can require more information than realizing the correlations that attain it. We show that this distinction becomes unbounded when a proof must condition on one party's measurement question. A fixed Bell scenario attained by one entangled qubit pair has a standard degree-two sum-of-squares cer...

Fu-Min Wang · 0 citations
Preprint Sep 2026

Unbounded degree overhead for Alice-conditioned quantum Bell certificates

Requiring each sum-of-squares term to involve only one of Alice's measurement questions can impose an unbounded certification cost. In the simplest Bell scenario, we prove that no finite level of the Alice-conditioned NPA hierarchy contains all standard level-two Bell certificates. An explicit family of truncated posit...

Fu-Min Wang · 0 citations

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