We learned that in the 5-Qibit error correcting code, the logical zero state $ | \bar{0} \rangle $ is encoded in the form of $ \frac{1}{4} (\mathbb{1}+M_0)(\mathbb{1}+M_1)(\mathbb{1}+M_2)(\mathbb{1}+M_3) | 00000 \rangle $ where $M_0 = Z_1X_2X_3Z_4, \,\, $ $M_1 = Z_2X_3X_4Z_0, \,\,$ $M_2 = Z_3X_4X_0Z_1, \,\,$ $M_3 = Z_4 X_0 X_1 Z_2.$
I am trying to represent the codeword operator shown above in Qiskit in the form of a quantum circuit but having a hard time getting started.
What is the best way to represent an operator which is a sum of the identity operator + some composition (tensor product of quantum operators)
p.s. (I guess an intermediate step is to figure out how to construct an operator like $(\mathbb{1}+M_0)$ and apply it to quantum circuit in "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister" )
p.s. (this was suggested to me as a potential source of information that answers my question. Although it was helpful to improve my knowledge, given that the post was mainly about the Steane code (7 qubit error correcting code), I wasn't able to figure out the answer to my question.)