In this paper, we study the [Formula: see text]-boundedness and [Formula: see text]-compactness of a class of [Formula: see text]-Fourier integral operators ([Formula: see text]-FIOs) with operator symbol. Mainly, we prove that this class is [Formula: see text]-bounded (respectively, [Formula: see text]-compact) if the order function is bounded (respectively, tends to 0).
A probabilistic operator symbol framework for quantum information
