  Quasiprobabilistic cutting techniques allow us to partition large quantum
circuits into smaller subcircuits by replacing non-local gates with
probabilistic mixtures of local gates. The cost of this method is a sampling
overhead that scales exponentially in the number of cuts. It is crucial to
determine the minimal cost for gate cutting and to understand whether allowing
for classical communication between subcircuits can improve the sampling
overhead. In this work, we derive a closed formula for the optimal sampling
overhead for cutting an arbitrary number of two-qubit unitaries and provide the
corresponding decomposition. Interestingly, cutting several arbitrary two-qubit
unitaries together is cheaper than cutting them individually and classical
communication does not give any advantage. This is even the case when one cuts
multiple non-local gates that are placed far apart in the circuit.
