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Suppose that two qubits are prepared in the entangled state | AB, | AB = 1 (|00AB |11AB). 2 Show that multiplying qubit A by

Suppose that two qubits are prepared in the entangled state | AB, | AB = 1 (|00AB |11AB). 2 Show that multiplying qubit A by an operator M is exactly the same as multiplying qubit B by the operator MT (where the MT is the transpose of the matrix M). That is, show that (MI)| AB =(IMT)| AB a b forany22operatorM= c d

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