Explicit optimal quantum values for CHSH, Magic Square and 2-out-of-n games as functions of noise rate, plus noise-robust rigidity theorems certifying one, two or n pairs of anticommuting Pauli observables.
Proposed experiment to test local hidden-variable theories
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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Any sequential cognitive decision data admits a classical instrument model, but joint decisions violating Bell inequalities are required to strictly rule out classical models in favor of quantum-like ones.
The CHSH rigidity theorem is machine-checked in Lean 4, confirming near-optimal strategies are locally isometric to the qubit strategy while exposing a gap in prior reasoning.
Authors give probability estimates for existence of joint distributions in random graph-encoded classical marginal problems and compute volume ratios of local to non-signaling polytopes for CHSH and Bell-Wigner graphs.
citing papers explorer
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Nonlocal Games in the High-Noise Regime: Optimal Quantum Values and Rigidity
Explicit optimal quantum values for CHSH, Magic Square and 2-out-of-n games as functions of noise rate, plus noise-robust rigidity theorems certifying one, two or n pairs of anticommuting Pauli observables.
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Quantum-like Cognition in Process Theories: An Analysis
Any sequential cognitive decision data admits a classical instrument model, but joint decisions violating Bell inequalities are required to strictly rule out classical models in favor of quantum-like ones.
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Formalizing CHSH Rigidity in Lean 4
The CHSH rigidity theorem is machine-checked in Lean 4, confirming near-optimal strategies are locally isometric to the qubit strategy while exposing a gap in prior reasoning.
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On random classical marginal problems with applications to quantum information theory
Authors give probability estimates for existence of joint distributions in random graph-encoded classical marginal problems and compute volume ratios of local to non-signaling polytopes for CHSH and Bell-Wigner graphs.