I know the pauli matrices in terms of the z-basis, but can't find them in terms of the other bases. I would like to know what they are.
The book says they are cyclic, via the relations XY=iZ, but this doesn't seem to apply when I use this to find the basis states.
The Attempt at a Solution
I understand the idea of changing basis, I just need to see what the pauli matrices are in the Y basis so I can finally confirm it. I have looked through books, and webpages, and they only give them in the standard basis for Z.
I have been looking at this forever... if in the X basis the Z matrix is just the same as the X matrix in the Z basis, doesn't that just leave the Y matrix in the X basis the same as in the Z basis?
And if that's true, where does that leave the X matrix and Z matrix in the Y basis?