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RandomWickCircuitSimulate, RandomCliffordCircuitSimualte, and RandomQuantumCircuitSimulate return only data but not the randomly generated circuits; they are used only internally.
RandomWickCircuitSimulate[in, spec, {depth, ds}] collects one state at every ds layers for each run of Wick circuits.
RandomCliffordCircuitSimulate[in, {n, depth, ds}, spec] collects one state at every ds layers for each run of Clifford circuits.