If we have a joint distribution of two (complex) vectors $x,y\in \mathbb{C}^d$ of norm $1$ such that their inner product $\langle x|y\rangle$ is $1-\epsilon$, can we lower bound the mutual information between $x$ and $y$?
2026-02-23 14:49:17.1771858157
Mutual Information of Vectors with Large Inner Product
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