In quantum computing the dominant algebraic operations are matrix and matrix-vector multiplications. The execution time grow exponentially with the simulated qubit number causing an exponential slowdown in quantum algorithm simulation using classical computers. In this work we show that the inherent characteristics of memristor crossbars can be used to overcome this problem and that memristor crossbars cannot only be used as independent quantum simulators but also as a part of a quantum computing stack in which classical computers are connected to quantum computing platforms, which act as accelerators. Our crossbar circuits are re-configurable and can be programmed to simulate any quantum algorithm.