Given matrices $E$ and $A$, is there a good way to obtain the maximizing unitary $U$ for the objective function $\operatorname{Tr}(EUAU^*)$? (I know that the maximizer of $\operatorname{Tr}(EU)$ is given by the polar decomposition of $E$.)
2026-02-23 10:49:44.1771843784
What is the maximum of $\operatorname{Tr}(EUAU^\dagger)$ when $U$ is unitary?
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