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The assumption (Formula presented) is useful to implement single qubit interactions only. In NMR terminology, it corresponds to the transformation of magnetization from a given spin, irregardless of (Formula presented) couplings (or hyperfine couplings for the case of ESR). Implementing transforms that entangle separate qubits, however, can involve the use of selective pulses that manipulate the magnetization within the (Formula presented) coupling (or hyperfine couplings) manifold, as shown for the CNOT gate
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