Dynamical Readout of Measurement Statistics and Emergent Entanglement-Like States in Classical Networks

• URL: http://arxiv.org/abs/2609.14620v1
• Date: Sun, 13 Sep 2026 15:49:51 GMT
• Title: Dynamical Readout of Measurement Statistics and Emergent Entanglement-Like States in Classical Networks
• Abstract summary: We introduce a network-native readout scheme for a structured classical network.<n>Network connectivity selects a dominant collective mode that encodes the state.<n>The same data generate correlations over a continuous family of measurement settings.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Can a classical network not only encode a quantum-like state, but also read out its measurement statistics through its own collective dynamics? Here we introduce a network-native readout scheme for a structured classical network whose community modes form an effective two-qubit state space. Network connectivity selects a dominant collective mode that encodes the state, while a fixed set of ten elementary connectivity perturbations probes its collective response. The resulting shifts of the dominant growth rate form a complete basis of expectation values for the real two-qubit sector, from which joint-outcome probabilities associated with arbitrary real projectors are reconstructed by linear combination. Once these ten spectral responses are measured, the same data generate correlations over a continuous family of measurement settings. As a benchmark, for an encoded Bell state four selected correlations give $|S|=\chsh>2$, whereas a separable product-state reference remains within the Clauser--Horne--Shimony--Holt (CHSH) bound $|S| \leq 2 $. These results establish an informationally complete dynamical readout of effective two-qubit states directly from the spectral response of a classical network.

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