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Gross's sharp logarithmic Sobolev conjecture for the maximally symmetric Fermionic Mehler semigroup
Gross's conjecture. The sharp version of this inequality should have the same constants as those found by Gross in the classical case.
Conjecturesolvedfermionic-analysis logarithmic-sobolev-inequalities quantum-operationsarXiv posted 2 days ago

Gross's sharp logarithmic Sobolev conjecture for the maximally symmetric Fermionic Mehler semigroup