I don’t know anything about annihilation operators, but am more familiar with superconducting discrete systems. Therefore, would like to ask about the form of the unitary matrix for all the photon gates in the above link.

While the documentation for Strawberry fields does not contain the matrix form for these gates, the documentation for PennyLane does have the Heisenberg representation for most of them. Just go to the CV gates section here and click on the gate you would like to know about.

Thanks for your answer, but your answer doesn’t address the CV gates’ unitary matrix form, I don’t need the Heisenberg representation. I think I found a valuable source from Dr. Sophie’s dissertation: