Hi!
I have these two 4x4 matrix
Subscript[S, 1] = KroneckerProduct[PauliMatrix[1], IdentityMatrix[2]]
Subscript[S, 2] = KroneckerProduct[IdentityMatrix[2], PauliMatrix[2]]
Which are written in the Canonical basis ({{1}, {0}, {0}, {0}}; {{0}, {1}, {0}, {0}}; {{0}, {0}, {1}, {0}}; {{0}, {0}, {0}, {1}})
I would like to write down these two matrices in the following basis:
G := {{0}, {0}, {0}, {1}}
S := (1/Sqrt[2]) {{0}, {1}, {1}, {0}}
A := (1/Sqrt[2]) {{0}, {1}, {-1}, {0}}
E := {{1}, {0}, {0}, {0}}
Is there any way to do it in Mathematica?
Thanks in advance