10. (20 points) Let 01, 02, 03 be the Pauli spin matrices. Is the 4 x...

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10. (20 points) Let 01, 02, 03 be the Pauli spin matrices. Is the 4 x 4 matrix a density matrix? (14 0101 102020303) (25) 11. (20 points) Consider the GHZ entangled state in the Hilbert space CC C C, 12) = = ((6) + (9)(A)) (26) 5 with the density matrix being p =) (1. Calculate the partial trace PB trA(P) with respect to the basis = 12 ()(9) (27) Let H be the number of hack attempts received by a computer system on a given day. The probability that the computer system receives x hack attempts or more on a day is modeled by: p(H x) = .001 e-.001t 1t dt for x 0 ' Compute the probability that the system receives 1000 hack attempts or more on a given day. Show work. 10. (20 points) Let 01, 02, 03 be the Pauli spin matrices. Is the 4 x 4 matrix a density matrix? (14 0101 102020303) (25) 11. (20 points) Consider the GHZ entangled state in the Hilbert space CC C C, 12) = = ((6) + (9)(A)) (26) 5 with the density matrix being p =) (1. Calculate the partial trace PB trA(P) with respect to the basis = 12 ()(9) (27) Let H be the number of hack attempts received by a computer system on a given day. The probability that the computer system receives x hack attempts or more on a day is modeled by: p(H x) = .001 e-.001t 1t dt for x 0 ' Compute the probability that the system receives 1000 hack attempts or more on a given day. Show work.