Advancing Full-Stack Acceleration for SchröDinger-Style Quantum Simulation

Recent developments in quantum hardware, including the scaling of physical qubits and advanced quantum error correction techniques, have increased the number of reliable logical qubits. However, this progress has introduced new challenges for quantum algorithm developers. Limited access to physical quantum machines and the insufficient performance of classical quantum simulators for near-term scales ($\sim 30$logical qubits) hinder the simulation and validation of quantum algorithms. To address this urgent need for improving simulation performance, we propose a novel end-to-end full-stack solution for Schrödingerstyle simulation that jointly explores algorithm, software, and hardware optimizations. At the algorithmic level, by identifying the inefficiency in executing complex signed permutations and complex unitary permutation gates, we introduce index redirection and pre-compute merging that significantly reduce data movement and computational complexity. At the hardware level, we propose a reconfigurable dataflow architecture with adaptive memory scheduling and swapping optimizations. At the software level, an end-to-end toolchain is introduced to jointly explore both algorithmic and hardware optimizations. A comprehensive evaluation across a large suite of quantum circuits demonstrates that our work achieves a maximum speedup exceeding$50 \times$over the GPU-based Qiskit baseline.