Some properties of circle maps with zero topological entropy

For a circle map $f\colon\mathbb{S}\to\mathbb{S}$ with zero topological entropy, we show that non-diagonal pair $\langle x,y\rangle\in \mathbb{S}\times \mathbb{S}$ is non-separable if and only it an IN-pair IT-pair. We also null then the maximal pattern entropy of every open cover polynomial order.