Problem 6. Schmidt decompositions and reduced states (a) Consider the two qubit pure state 7 10 ( 10, 0) + (1, 1) ) + 7 (10, 1) - 1, 0)) , Calculate the Schmidt decomposition of [ I). (b) Compute the reduced states of the two individual qubits. Also compute the eigenvalues of the reduced state - what is the relationship between these eigenvalues and the Schmidt coefficients obtained in part (a)