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To obtain knowledge about the pattern of errors occur in quantum circuits, random Clifford circuits are a good paradigm to use in that these kind of circuits can be efficiently simulated by a classical computer. In this case, we can get both ideal and noisy data (measured form a real quantum device) at the same time. Then, we can take the two set of data for further use, like what have been done by Patrick Coles etc. In qiskit, random Clifford circuits are generated by the random_clifford method. One drawback of the method is that the circuit depth cannot be specified, which limit the usage of the method if one just want like a shallow-depth circuit, like in the case of measurement error mitigation proposed the IBM team, where they used depth-4 random Clifford circuits. In a nutshell, how can one generate certain depth random Clifford circuits using qiskit?

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