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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
Skip to main content Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, ...
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I hope everyone is doing well. Let $K \subset \mathbb{R}^n$ be a centrally symmetric convex body $(K = -K)$. Denote by $K \mid H$ the orthogonal projection of $K$ onto $H$, where $H$ is an $n - 1$
Mathoverflow.net news digest
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Does Deligne's structure theorem for Picard groupoids require Mac Lane coherence...
In Lemme 1.4.3 of La formule de dualité globale (Exposé XVIII of SGA 4 tome 3), Deligne makes the following assertion regarding strictly commutative Picard groupoids $\mathcal P$. Given a family of objects $(X_i)_{i\in I}$ of objects of $\mathcal P$...
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Is the square of the Horodecki private-bit (pbit) channel known to be entangleme...
Let $\rho_{ABA'B'}$ be the $4\otimes4$ private, bound-entangled "pbit" state of Horodecki–Pankowski–Horodecki–Horodecki (quant-ph/0506203), and let $\Psi$ be the PPT channel obtained by local-filtering $\rho$ to a uniform input marginal, so $C(\Psi)...
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Explicit constructions of intersection cohomology classes
Do there exist explicit constructions of intersection cohomology classes of projective varieties?
Such constructions could be either very general or more concrete. To clarify what I have in mind, let me compare this with the case of smooth varieties, where cohomology classes arise, for example, as follows:... -
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Is the realignment (CCNR) norm of the Choi state of a composition of two PPT cha...
The PPT-squared conjecture (Christandl 2012) states that the composition $\Phi\circ\Psi$ of two PPT channels on $M_n$ is entanglement-breaking; it is open for $n\ge4$. Recall $\Phi$ is PPT if its Choi matrix $C(\Phi)=\sum_{ij}|i\rangle\langle j|\otimes...
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