I guess what you may need is the Pauli'sPauli operators https://qiskit.org/documentation/autodoc/qiskit.quantum_info.operators.pauli.html?highlight=pauli%20operator#module-qiskit.quantum_info.operators.pauli:
https://qiskit.org/documentation/_modules/qiskit/quantum_info/operators/pauli.html
https://www.sciencedirect.com/topics/engineering/pauli-operator
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