The Tsallis Relative 2-Entropy of Coherence for Qubit System

We show that Tsallis relative 2-entropy of coherence is equal to l 1 norm of coherence for all pure states and give the additivity property for the general quantum states. We also explore the relation among Tsallis relative 2-entropy, l 1 norm and relative entropy of coherence, and give some sharp inequalities connecting the three coherence measures. Further, we use the decay of coherence to study how does a quantum noise effect l 1 norm and Tsallis relative 2-entropy of coherence on pure qubit system.