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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Quantum Foundations
Beyond the Magic Square Game: Widening the Gap for Two Bell States
arXiv
Authors: Tony Lau
Year
2026
Paper ID
35913
Status
Preprint
Abstract Read
~2 min
Abstract Words
70
Citations
N/A
Abstract
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.
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- 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...
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