Strictly incoherent operations for one-qubit systems

Strictly incoherent operations (SIO) proposed in [Phys. Rev. Lett. 116, 120404 (2016)] are promising to be a good candidate of free the resource theory quantum coherence, setting against central role local and classical communication entanglement. An important open problem is an efficient description for strictly physical region. Such plays key axiomatic study coherence. We aimed give structural characterization bistochastic SIOs terms Pauli operators Phase operator one-qubit systems. Some applications our results also sketched reconstructing thermal averages via computer coherence manipulation.