Several Remarks on the Representation of the Infinite-Dimensional Symplectic Group and on the Construction of the Metaplectic Group

Infinite mode quantum Gaussian states

“…An elementary and self-contained presentation can be found in Chapter 4 of [Fol89], Theorem 4.37 there is of particular interest in this regard. In the infinite dimensional case, [MS04] and [Tve04] are of interest.…”