Survival probability maps for any nontrivial pair of unitaries cannot achieve point-wise complementary correlation over the full projective state space, imposing a unitary-geometric limit on anti-contrast.
Uhlmann, The Transition Probability in the State Space of a* Algebra, Annalen Phys.42, 524 (1985)
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Fundamental limits to contrast reversal of survival probability correlations
Survival probability maps for any nontrivial pair of unitaries cannot achieve point-wise complementary correlation over the full projective state space, imposing a unitary-geometric limit on anti-contrast.