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Quantum computer simulators running on classical computers are essential fordeveloping real quantum computers and emerging quantum applications. Inparticular, state vector simulators, which store a full state vector in memoryand update it in every quantum operation, are available to simulate anarbitrary form of quantum circuits, debug quantum applications, and validatefuture quantum computers. However, the time and space complexity growsexponentially with the number of qubits and easily exceeds the capability of asingle machine.  Therefore, we develop a distributed state vector simulator, $mpiQulacs$, thatis optimized for large-scale simulation on A64FX-based cluster systems. A64FXis an ARM-based CPU that is also equipped in the world's top Fugakusupercomputer. We evaluate weak and strong scaling of mpiQulacs with up to 36qubits on a new 64-node A64FX-based cluster system named $Todoroki$. Bycomparing mpiQulacs with existing distributed state vector simulators, we showthat mpiQulacs achieves the highest performance for large-scale simulation ontens of nodes while sustaining a nearly ideal scalability. Besides, we define anew metric, $quantum B/F ratio$, and use it to demonstrate that mpiQulacsrunning on Todoroki fits the requirements of distributed state vectorsimulation rather than the existing simulators running on general purposeCPU-based or GPU-based cluster systems.

mpiQulacs: A Distributed Quantum Computer Simulator for A64FX-based Cluster Systems