Rényi divergence and generalized channel capacity relation

Let $Q$ be a non-uniform distribution and $U$ the uniform distribution on a support of cardinality $2^n$. Let $T$ be the matrix with two rows, $Q$ and $U$, and $2^n$ columns. The quantities $D_{1/2}(Q\|U)$ and $C_{1/2}(T)$ denote, respectively, Rényi's divergence of degree $1/2$ and the generalized channel capacity of degree $1/2$ (identified here with the standard Shannon channel capacity). The Rényi–capacity conjecture.

$$D_{1/2}(Q\|U)=2\cdot C_{1/2}(T).$$

This conjecture proposes an exact quantitative relation between Rényi divergence and channel capacity for the binary-input channel whose rows are $Q$ and $U$. The supplied text gives no evidence that the relation has been proved or disproved.