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3. The Hadamard transform illustrated with three qubits. (a) Show that HHH=H[32]H[31]H[30]. (b) Measure the three qubits in (HHH)000. What are the possible three-bit outcomes

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3. The Hadamard transform illustrated with three qubits. (a) Show that HHH=H[32]H[31]H[30]. (b) Measure the three qubits in (HHH)000. What are the possible three-bit outcomes and their probabilities? Hints: Recall the definitions from the lecture slides. Direct calculation suffices

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