  In order to evaluate, validate, and refine the design of new quantum
algorithms or quantum computers, researchers and developers need methods to
assess their correctness and fidelity. This requires the capabilities of
quantum circuit simulations. However, the number of quantum state amplitudes
increases exponentially with the number of qubits, leading to the exponential
growth of the memory requirement for the simulations. In this work, we present
our memory-efficient quantum circuit simulation by using lossy data
compression. Our empirical data shows that we reduce the memory requirement to
16.5% and 2.24E-06 of the original requirement for QFT and Grover's search,
respectively. This finding further suggests that we can simulate deep quantum
circuits up to 63 qubits with 0.8 petabytes memory.
