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quant-ph2026
PureSuperQMA(exp) = BellPureSymQMA(poly) = QMA via Dimension-Free Bosonic Argmax
William Gay, Fernando Granha Jeronimo, Lenny Liu +3
Pure-state consistency problems naturally lead to quantum proof systems in which a single pure witness must satisfy many acceptance constraints. The corresponding class $\mathsf{Pu…
cs.CC2026
An Argmax Principle for Sum-of-Squares Relaxations on the Sphere
Fernando Jeronimo Granha, Pei Wu, Haochen Xu
We develop an argmax principle for analyzing sum-of-squares relaxations of optimization problems over the unit sphere. Given a feasible pseudo-expectation, we form a polynomial of…
quant-ph2026
Optimal Quantum de Finetti Theorems via Argmax Rounding
Fernando Granha Jeronimo, Pei Wu, Haochen Xu
We prove optimal finite quantum de Finetti upper bounds. Given a bosonic state , there is a probability measure on the unit sphere such t…