A QUBO Formulation for the Generalized LinkedIn Queens and Takuzu/Tango Game
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866918474956144640 |
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| author | Ali, Alejandro Mata Mencia, Edgar |
| author_facet | Ali, Alejandro Mata Mencia, Edgar |
| contents | In this paper, we present a QUBO formulation designed to solve a series of generalisations of the LinkedIn queens game, a version of the N-queens problem, for the Takuzu game (or Binairo), for the most recent LinkedIn game, Tango, and for its generalizations. We adapt this formulation for several particular cases of the problem, as Tents \& Trees, by trying to optimise the number of variables and interactions, improving the possibility of applying it on quantum hardware by means of Quantum Annealing or the Quantum Approximated Optimization Algorithm (QAOA). We also present two new types of problems, the Coloured Chess Piece Problem and the Max Chess Pieces Problem, with their corresponding QUBO formulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06429 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A QUBO Formulation for the Generalized LinkedIn Queens and Takuzu/Tango Game Ali, Alejandro Mata Mencia, Edgar Quantum Physics Emerging Technologies Popular Physics 90C27, 90C20, 81Q99 G.1.6; G.2.1 In this paper, we present a QUBO formulation designed to solve a series of generalisations of the LinkedIn queens game, a version of the N-queens problem, for the Takuzu game (or Binairo), for the most recent LinkedIn game, Tango, and for its generalizations. We adapt this formulation for several particular cases of the problem, as Tents \& Trees, by trying to optimise the number of variables and interactions, improving the possibility of applying it on quantum hardware by means of Quantum Annealing or the Quantum Approximated Optimization Algorithm (QAOA). We also present two new types of problems, the Coloured Chess Piece Problem and the Max Chess Pieces Problem, with their corresponding QUBO formulations. |
| title | A QUBO Formulation for the Generalized LinkedIn Queens and Takuzu/Tango Game |
| topic | Quantum Physics Emerging Technologies Popular Physics 90C27, 90C20, 81Q99 G.1.6; G.2.1 |
| url | https://arxiv.org/abs/2410.06429 |