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Extra HW 1. Prove the following properties of the density matrix. (a) ? is a Hermitian operator, i.e. ?-? (b) (A)) is invariant under unitary transformation. (c) Quantum Liouvilles equation ih Ot (d) For pure states ?-? and for mixed states ?2 < p.
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-. Sinca densit matix Hemitian Prepentieseq Henamitian covj-gate,fer Pure stete mixed slete Pwre Puore

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