Abstract
We prove that there exists an absolute constant α<1 such that for every finite dimension d and every quantum channel T on L(C^d), |Θ∘(id-T)| ≤ α|Θ||id-T|, where Θ is the transposition map. In fact we show the explicit choice α=1/√2 works.
A dimension-independent strict submultiplicativity for the transposition map in diamond norm
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