Gaussian Distributions and Phase Space Weyl--Heisenberg Frames. (arXiv:1708.01551v1 [math-ph])

Gaussian states are at the heart of quantum mechanics and play an essential role in quantum information processing. In this paper we provide explicit formulas for the expansion of a general Gaussian symbol in terms of elementary Gaussian functions. For this purpose we introduce the notion of a "phase space frame" associated with a Weyl-Heisenberg frame. 查看全文>>