Solving Maximum-Cut problem using Neutral atom quantum computer
Chen Junxi
This work investigates approaches for solving the Maximum-Cut (Max-cut) problem, a nondeterministic polynomial-hard (NP-hard) combinatorial optimization problem, on a neutral-atom quantum computing platform. The Max-cut problem can be mapped to an Ising model, making it a representative candidate for demonstrating quantum computational advantage. We explore two algorithmic pathways: first, a quantum algorithm based on quantum phase estimation and a modified Grover's search for solution space exploration, which was numerically simulated using the Qiskit library. Second, the Quantum Approximate Optimization Algorithm (QAOA) is employed. We simulate QAOA for a four-atom model under conditions relevant to neutral-atom platforms, evaluating the solution quality via the approximation ratio Ra=1/S_max ∑_i▒〖p_i S_i 〗 (p_i is the probability of a particular bit-string, S_i is the number of edge cuts for the bit string, and S_max is the maximum cut number.) for circuit depths p = 1, 2, 3. Furthermore, numerical simulations of the neutral-atom platform model are conducted using the Pulser library. The results provide algorithmic foundations and numerical validation for demonstrating quantum utility in physical systems like neutral atoms and for tackling practical problems such as routing.
LaserPhys Youth School-Conference•Jan 1, 2025•0 citations