Ordering states with Tsallis relative $$alpha $$-entropies of coherence

In this paper, we study the ordering states with Tsallis relative (alpha )-entropies of coherence and (l_{1}) norm of coherence for single-qubit states. Firstly, we show that any Tsallis relative (alpha )-entropies of coherence and (l_{1}) norm of coherence give the same ordering for single-qubit pure states. However, they do not generate the same ordering for some high-dimensional states, even though these states are pure. Secondly, we also consider three special Tsallis relative (alpha )-entropies of coherence for (alpha =2, 1, frac{1}{2}) and show these three measures and (l_{1}) norm of coherence will not generate the same ordering for some single-qubit mixed states. Nevertheless, they may generate the same ordering if we only consider a special subset of single-qubit mixed states. Furthermore, we find that any two of these three special measures generate different ordering for single-qubit mixed states. Finally, we discuss the degree of violation of between (l_{1}) norm of coherence and Tsallis relative (alpha )-entropies of coherence. In a sense, this degree can measure the difference between these two coherence measures in ordering states.