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Answer by Norbert Schuch for Does proximity of two bipartite states in a norm...
No.Here is an example without small Schmidt coefficients.To this end, consider$$\lvert\phi\rangle = a\lvert0\rangle\lvert0\rangle + b \lvert1\rangle\lvert1\rangle\ ,$$and$$ \lvert\psi\rangle =...
View ArticleAnswer by Adam Zalcman for Does proximity of two bipartite states in a norm...
TL;DR: No such relation exists, because the upper bound on the norm fails to impose any constraints whatsoever on the basis elements corresponding to very small Schmidt coefficients $\sqrt{p_i}$ and...
View ArticleDoes proximity of two bipartite states in a norm force high overlap between...
I want to know that there is a relation between the distance of two vectors and the corresponding elements of the Schmidt bases.We assume that two bipartite vectors $|\phi\rangle^{AB}$ and...
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