A Table Look-Up Based Quantum Simulation Accelerator on an FPGA

In quantum computing simulation, efficient data representation is essential since a naive data representation can strain memory bandwidth and limit parallelism. This paper presents a new data representation, base- $\frac{1}{\sqrt{2}}$ numeral system, to implement fast quantum computing simulation on FPGAs. The results show that our accelerator is the fastest simulator among CPU, GPU, and FPGA-based ones, providing a valuable tool for researchers developing and testing quantum algorithms.