2024-05-29 アルゴンヌ国立研究所(ANL)
＜関連情報＞
- https://www.anl.gov/article/jpmorgan-chase-argonne-and-quantinuum-show-theoretical-quantum-speedup-with-the-quantum-approximate
- https://www.science.org/doi/10.1126/sciadv.adm6761
量子近似最適化アルゴリズムが古典的難問に対してスケーリング優位性を証明 Evidence of scaling advantage for the quantum approximate optimization algorithm on a classically intractable problem
RUSLAN SHAYDULIN, CHANGHAO LI, SHOUVANIK CHAKRABARTI, MATTHEW DECROSS, […], AND MARCO PISTOIA
Science Advances Published:29 May 2024
DOI:https://doi.org/10.1126/sciadv.adm6761
Abstract
The quantum approximate optimization algorithm (QAOA) is a leading candidate algorithm for solving optimization problems on quantum computers. However, the potential of QAOA to tackle classically intractable problems remains unclear. Here, we perform an extensive numerical investigation of QAOA on the low autocorrelation binary sequences (LABS) problem, which is classically intractable even for moderately sized instances. We perform noiseless simulations with up to 40 qubits and observe that the runtime of QAOA with fixed parameters scales better than branch-and-bound solvers, which are the state-of-the-art exact solvers for LABS. The combination of QAOA with quantum minimum finding gives the best empirical scaling of any algorithm for the LABS problem. We demonstrate experimental progress in executing QAOA for the LABS problem using an algorithm-specific error detection scheme on Quantinuum trapped-ion processors. Our results provide evidence for the utility of QAOA as an algorithmic component that enables quantum speedups.
