Dgate matrix Representation

I am using sf.ops.Dgate and I was wondering what its matrix representation is. The formula for the D gate is
image

I know that alpha is a vector, but I am confused of what a is supposed to be / how to derive it.

Hi @sar49 ,

a and a^\dagger are the annihilation and creation operators.

You can learn about them and their relation to the quadrature operators here.

I hope this helps you. Let me know if you have any further questions.