Authors: Boubacar Diawara
This study investigates the deep analogies between quantum squeezing and entanglement phenomena and their classical counterparts realized in coupled LC oscillator circuits. By constructing comprehensive MATLAB and Python simulation frameworks, we model strongly coupled classical oscillators, compute covariance matrices, and quantify information transfer using correlation and variance-basedmetrics inspired by quantum information theory. Extensive parameter sweeps reveal that classical LC circuits can reproduce key mathematical structures associated with quantum squeezing, including variance reduction exceeding 15 dB and correlation coefficients above 0.99 in the strong-coupling regime. Beyond numerical modeling, experimental implementations of coupled LC circuits are performed and compared with simulations, showing excellent agreement with discrepancies below 5 Motivated by advances in microwave quantum engineering—where artificial atoms, superconducting circuits, and resonators enable ultra-strong light—matter coupling—this work explores whether classical circuits can provide insight beyondformal mathematical analogies. While classical LC systems do not reproduce intrinsic quantum randomness, superposition, or nonlocality, they successfully capture structural and dynamical features central to quantum squeezing and correlated states. By bridging quantum information theory and classical circuit analysis, this research offers a scalable, low-cost experimental testbed for education, prototyping, and conceptual exploration of quantum phenomena. The findings highlight the potential of classical oscillator networks as meaningful simulators for macroscopicmanifestations of quantum-inspired effects relevant to precision measurement, communication, and emerging cybersecurity technologies.
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[v1] 2026-01-31 03:39:31
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