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math.CA2026
Preservation of Positive-Definiteness by Bernstein Operators on the Circle
Matthew Otten, Nam Nguyen, Thomas Watts
We prove that, for every , the degree- Bernstein operator on preserves positive-definiteness on the circle . Equivalently, if a continuous function on $[0,π]…
quant-ph2026
Dissipative continuation for ground-state preparation at chemical transition states
Thomas W. Watts, Soumya Sarkar, Daniel Collins +4
Simulating chemical reactions exhibits a pronounced unevenness in computational difficulty: while equilibrium reactant and product geometries are often tractable, transition-state…