Practice Problem 38.) Let p= Ex Pk|eb«Xubx| be a density operator; so each |e) is a unit vector and each pk 20 with EA Pk = 1. Prove the following conditions are satisfied: (a) Tr(p) = 1. (b) p is a positive operator; that is, for any state |v), the inner product (v|plv) is a non-negative real number, (v\p|v) > 0.
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please answer b)
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