Beyond the Magic Square Game: Widening the Gap for Two Bell States
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908905209069568 |
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| author | Lau, Tony |
| author_facet | Lau, Tony |
| contents | We demonstrate that the largest gap between the entangled value and the classical value for a one-round two-player nonlocal game with a perfect entangled strategy using two Bell states of entanglement is at least $\frac{4}{35}$, improving on the gap of $\frac{1}{9}$ achieved by the Mermin-Peres magic square game. We do so by explicitly constructing a nonlocal game with classical value $\frac{31}{35}$ using the full symmetry of the 2-qubit Pauli group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20748 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Beyond the Magic Square Game: Widening the Gap for Two Bell States Lau, Tony Quantum Physics We demonstrate that the largest gap between the entangled value and the classical value for a one-round two-player nonlocal game with a perfect entangled strategy using two Bell states of entanglement is at least $\frac{4}{35}$, improving on the gap of $\frac{1}{9}$ achieved by the Mermin-Peres magic square game. We do so by explicitly constructing a nonlocal game with classical value $\frac{31}{35}$ using the full symmetry of the 2-qubit Pauli group. |
| title | Beyond the Magic Square Game: Widening the Gap for Two Bell States |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.20748 |