Neural-IC separates embedding inequalities from capacity bounds in query-separated computations, with one-bit RAC benchmarks and CHSH-layer stability selecting the Tsirelson threshold for quantum enhancements.
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A standard quantum walk produces admissible post-quantum correlations exceeding Tsirelson's bound via complementarity-violating coin preparation, but these correlations are suppressed by coarse-grained position measurements.
Derives robust device-independent self-testing and two-bit certified randomness from the optimal quantum violation of the arbitrary-input chained Bell inequality via a dimension-independent sum-of-squares technique.
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Neural Information Causality
Neural-IC separates embedding inequalities from capacity bounds in query-separated computations, with one-bit RAC benchmarks and CHSH-layer stability selecting the Tsirelson threshold for quantum enhancements.
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Operationally Admissible Post-Quantum Correlations from a Standard Quantum Walk
A standard quantum walk produces admissible post-quantum correlations exceeding Tsirelson's bound via complementarity-violating coin preparation, but these correlations are suppressed by coarse-grained position measurements.
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Robust self-testing and certified randomness based on chained Bell inequality
Derives robust device-independent self-testing and two-bit certified randomness from the optimal quantum violation of the arbitrary-input chained Bell inequality via a dimension-independent sum-of-squares technique.