Advantages of multistage quantum walks over QAOA

التفاصيل البيبلوغرافية
العنوان: Advantages of multistage quantum walks over QAOA
المؤلفون: Gerblich, Lasse, Dasanjh, Tamanna, Wong, Horatio Q. X., Ross, David, Novo, Leonardo, Chancellor, Nicholas, Kendon, Viv
سنة النشر: 2024
المجموعة: Computer Science
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Computer Science - Emerging Technologies
الوصف: Methods to find the solution state for optimization problems encoded into Ising Hamiltonians are a very active area of current research. In this work we compare the quantum approximate optimization algorithm (QAOA) with multi-stage quantum walks (MSQW). Both can be used as variational quantum algorithms, where the control parameters are optimized classically. A fair comparison requires both quantum and classical resources to be assessed. Alternatively, parameters can be chosen heuristically, as we do in this work, providing a simpler setting for comparisons. Using both numerical and analytical methods, we obtain evidence that MSQW outperforms QAOA, using equivalent resources. We also show numerically for random spin glass ground state problems that MSQW performs well even for few stages and heuristic parameters, with no classical optimization.
Comment: 19 pages, 6 figures, minor update in v2 to correct author name
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.06663
رقم الأكسشن: edsarx.2407.06663
قاعدة البيانات: arXiv