3 problems

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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
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LOCC monotonicity conjecture for maximal extendibility numbers
LOCC monotonicity conjecture. LOCC transformations cannot decrease the maximal extendibility numbers of a state.
Conjectureopenentanglement quantum-information quantum-operationsarXiv posted 2 days ago
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Equivariant quantum Kirwan--Steenrod compatibility conjecture
Let $p$ be a prime, let $\Lambda_{\mathbb F_p}$ be the coefficient ring used in the paper, and let $V /\hspace{-0.1cm}/ K$ be the symplectic quotient. Let $Q\Sigma_b^K$ denote the…
Conjectureopenquantum-cohomology quantum-operations symplectic-geometryarXiv posted 2 days ago

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