Coherence measures based on sandwiched Renyi relative entropy

Coherence is a fundamental ingredient for quantum physics and a key resource for quantum information theory. Baumgratz, Cramer and Plenio established a rigorous framework (BCP framework) for quantifying coherence [Baumgratz T, Cramer M and Plenio M B Phys. Rev. Lett. 113 140401 (2014)]. In the present paper, under the BCP framework we provide two classes of coherence measures based on the sandwiched Renyi relative entropy. We also prove that we cannot get a new coherence measure f(C(center dot)) by a function f acting on a given coherence measure C.