Run-time in seconds: 4 nodes, n qubits, cache size C=2**c MPICH 3.2.1: n c 21 25 31 7 2.67 37.95 2437.09 9 0.93 12.24 781.21 11 0.64 7.41 472.62 13 0.66 7.43 464.33 15 0.67 6.37 382.91 Intel MPI Library 2019 Update 3: n c 21 25 31 7 1.11 2.34 105.13 9 0.82 2.10 91.29 11 0.83 2.01 90.35 13 0.81 1.99 86.49 15 0.81 1.76 82.10 Comparison with Open MPI, n = 31: c MPICH Intel OpenMPI 7 2437.09 105.13 99.48 9 781.21 91.29 83.97 11 472.62 90.35 78.89 13 464.33 86.49 80.86 15 382.91 82.10 78.15