Bounds on POVM-based coherence of superposition
题目：Bounds on POVM-based coherence of superposition
简介：IQuantum coherence is a fundamental feature of quantum physics and plays a significant role in quantum information processing. By generalizing the resource theory of coherence from von Neumann measurements to positive operatorvalued measures (POVMs), POVM-based coherence measures have been proposed with respect to the relative entropy of coherence, the l1 norm of coherence, the robustness of coherence and the Tsallis relative entropy of coherence. We derive analytically the lower and upper bounds on these POVM-based coherence of an arbitrary given superposed pure state in terms of the POVM-based coherence of the states in superposition. Our results can be used to estimate range of quantum coherence of superposed states. Detailed examples are presented to verify our analytical bounds.