Classical finite state generators can exceed the Tsirelson bound of 2√2 in temporal correlations, but quantum generators maintain stronger correlations longer under time delays and scrambling operations.
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Continuous-time quantum walks show quadratic short-time scaling in multi-time position measurement nonclassicality unlike the linear scaling of single-time quantum-classical distance, with strong topology dependence at long times that varies under position versus energy dephasing.
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Comparing quantum and classical finite state generators
Classical finite state generators can exceed the Tsirelson bound of 2√2 in temporal correlations, but quantum generators maintain stronger correlations longer under time delays and scrambling operations.
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Temporal nonclassicality in continuous-time quantum walks
Continuous-time quantum walks show quadratic short-time scaling in multi-time position measurement nonclassicality unlike the linear scaling of single-time quantum-classical distance, with strong topology dependence at long times that varies under position versus energy dephasing.