Let 146)= cos(0) sin(0), be a normalized state in C. Is p=) ( a density matrix? 8. (15 points) Find the trace distance DT (PL. P2) = ((P1 - P2)(P1 - P2)1) (20) (21) between the two density matrices 1/2 0 0 1/2 (1/2 0 0 0 P = 0 0 0 0 0000 P2= 0000 0000 (22) 000 1/2/ 1/2 0 0 1/2 9. (20 points) Consider the following matrix representation of N qubits in terms of tensor products of Pauli matrices 3 3 3 2-x-100 Jo-0j1-0 where do 12. Calculate JN-10 tr(pokokOKN-1). JN-1 (23) (24)