  The resource theory of quantum superposition is an extension of the quantum
coherent theory, in which linear independence relaxes the requirement of
orthogonality. It can be used to quantify the nonclassical in superposition of
finite number of optical coherent states. Based on convex roof extended, state
transformation and weight, we give three methods of constructing superposition
measures of quantum states, respectively. We also generalize the superposition
resource theory from two perspectives.
