Dynamical Readout of Measurement Statistics and Emergent Entanglement-Like States in Classical Networks
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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BibTeX
@misc{xie2026dynamical,
title = {{Dynamical Readout of Measurement Statistics and Emergent Entanglement-Like States in Classical Networks}},
author = {Songbo Xie and Ethan Dickey and Syed Ahmed Taimoor and Sabre Kais},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.14620},
eprint = {2609.14620},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14620},
}
RIS
TY - UNPB
TI - Dynamical Readout of Measurement Statistics and Emergent Entanglement-Like States in Classical Networks
AU - Songbo Xie
AU - Ethan Dickey
AU - Syed Ahmed Taimoor
AU - Sabre Kais
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2609.14620
UR - https://arxiv.org/abs/2609.14620
AB - 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.
ER -