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Equality of relative-entropy, Riemannian and geodesic contraction coefficients
About 28 years old
Equality conjecture. For each fixed $g\in{\cal G}$ ,
opencontraction-coefficients noncommutative-probability quantum-information
011
Optimality conjecture for contraction coefficients of non-unital CQ channels
About 11 years old
Optimality conjecture. Equality holds in the three displayed bounds above.
opencontraction-coefficients quantum-channels quantum-information
011