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quant-ph2023
Sphere Valued Noise Stability and Quantum MAX-CUT Hardness
Steven Heilman
We prove a vector-valued inequality for the Gaussian noise stability (i.e. we prove a vector-valued Borell inequality) for Euclidean functions taking values in the two-dimensional…
math.PR2023
Three Candidate Plurality is Stablest for Correlations at most 1/10
Steven Heilman
We prove the three candidate Plurality is Stablest Conjecture of Khot-Kindler-Mossel-O'Donnell from 2005 for correlations satisfying : the Plurality function is t…