  Quantum simulation is one of the central discipline to demonstrate the power
of quantum computing. In recent years, the theoretical framework of quantum
superchannels has been developed and applied widely as the extension of quantum
channels. In this work, we study the quantum circuit simulation task of
superchannels. We develop a quantum superchannel simulation algorithm based on
the convex decomposition into sum of extreme superchannels, which can reduce
the circuit cost. We demonstrate the algorithm by numerical simulation of qubit
superchannels with high accuracy, making it applicable to current experimental
platforms.
