The σ_1={{0,1},{1,0}} and σ_2={{0,-i},{i,0}} are the Pauli matrices
I have to find diagonal to σ_1 in the (1/√2, +/- 1/√2) linear polarization basis and diagonal to σ_2 in the circular polarization basis (1/√2, +/- i/√2).
I found that diagonal to σ_1 is {{1,0},{0,-1}} (where 1 and -1 are...