Efficient Light Source Placement using Quantum Computing

NP-hard problems regularly come up in video games, with interesting connections to real-world problems. In the game Minecraft, players place torches on the ground to light up dark areas. Placing them in a way that minimizes the total number of torches to save resources is far from trivial. In this paper, we use Quantum Computing to approach this problem. To this end, we derive a QUBO formulation of the torch placement problem, which we uncover to be very similar to another NP-hard problem. We employ a solution strategy that involves learning Lagrangian weights in an iterative process, adding to the ever growing toolbox of QUBO formulations. Finally, we perform experiments on real quantum hardware using real game data to demonstrate that our approach yields good torch placements.

  • Published in:
    Lernen. Wissen. Daten. Analysen.
  • Type:
    Inproceedings
  • Authors:
    Mücke, Sascha; Gerlach, Thore
  • Year:
    2023

Citation information

Mücke, Sascha; Gerlach, Thore: Efficient Light Source Placement using Quantum Computing, Lernen. Wissen. Daten. Analysen., 2023, https://arxiv.org/abs/2312.01156, Muecke.Gerlach.2023a,

Associated Lamarr Researchers

lamarr institute person Mucke Sascha - Lamarr Institute for Machine Learning (ML) and Artificial Intelligence (AI)

Sascha Mücke

Author to the profile
Thore Gerlach - Lamarr Institute for Machine Learning (ML) and Artificial Intelligence (AI)

Thore Gerlach

Scientist to the profile