1. The problem statement, all variables and given/known data Determine the column vectors representing |+x> and |-x> using the states |+y> and |-y> as a basis. 2. Relevant equations N/A 3. The attempt at a solution I know that if |+y> and |-y> are used as a basis, then they are the column vectors (1,0) and (0,1) respectively. I also know that |+x> as a column vector in the Sz basis is 1/√2 (1,0) and |+y> in the Sz basis is a column vector 1/√2 (1,i). However, these were predetermined values that represented states in a Stern Gerlach experiment. I'm not sure how to approach making the |+x> and |-x> in a different basis, namely the Sy basis.