林海onrush (2025-01-31 23:53):
#paper, https://doi.org/10.48550/arXiv.2312.01156, Efficient Light Source Placement using Quantum Computing, 这是一个有趣的小问题, 如何利用量子计算解决《我的世界》游戏中的火把放置问题,将形式转化为二次无约束二进制优化(QUBO)问题,通过迭代学习拉格朗日乘子来处理约束条件。实验说明该方法能在合理迭代次数内找到有效的火把放置方案,虽然当前量子硬件存在局限性,经典方法在较大地图上表现更优一些。火把放置问题与集合覆盖问题相联系,展示量子计算在资源优化问题中的价值。
arXiv, 2023-12-02T15:28:59Z. DOI: 10.48550/arXiv.2312.01156
Efficient Light Source Placement using Quantum Computing
Sascha Mücke, Thore Gerlach
Abstract:
NP-hard problems regularly come up in video games, with interesting<br>connections to real-world problems. In the game Minecraft, players place<br>torches on the ground to light up dark areas. Placing them in a way that<br>minimizes the total number of torches to save resources is far from trivial. In<br>this paper, we use Quantum Computing to approach this problem. To this end, we<br>derive a QUBO formulation of the torch placement problem, which we uncover to<br>be very similar to another NP-hard problem. We employ a solution strategy that<br>involves learning Lagrangian weights in an iterative process, adding to the<br>ever growing toolbox of QUBO formulations. Finally, we perform experiments on<br>real quantum hardware using real game data to demonstrate that our approach<br>yields good torch placements.
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