A theorem identifies ignorable terms in time-independent Hamiltonians for local phenomena in qubit systems and reveals emergent coupling from non-commutativity when the theorem's condition fails.
Without loss of generality, we assume the initial probability amplitudes to be unbiased, i.e., a(η) n = 1/ √ 2 for allnandη
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Coupling effect of nearest-neighbor interacting qubit chains to a single qubit system
A theorem identifies ignorable terms in time-independent Hamiltonians for local phenomena in qubit systems and reveals emergent coupling from non-commutativity when the theorem's condition fails.