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<p>Quantum nonlinear circuits incorporating ferroelectric materials offer a promising platform for quantum computing. Here, we investigate a nonlinear LC circuit composed of a linear inductor and a quantum ferroelectric capacitor. Using thermo field dynamics (TFD) theory and first-order perturbation analysis, we obtain the thermal vacuum state (TVS) eigenvalues and eigenvectors.&#xa0;Furthermore, we derive both the quantum fluctuations of charge and current at finite temperature and thermodynamic relations governing the system, including the Helmholtz free energy and entropy.&#xa0;Our calculations reveal that thermal charge fluctuations grow slower in nonlinear circuits compared to linear counterparts, with the suppression rate scaling with the nonlinear coefficient. This key insight enables enhanced control over qubit decoherence, advancing noise-resilient quantum hardware design.</p>

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Quantum fluctuations in ferroelectric-based circuits: finite-temperature thermodynamics

  • 期刊论文

  • 发表日期：

    2025年9月16日

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  • M. Bakhtiyarian,
  • Hassan Pahlavani,
  • S. M. Fazeli

摘要

Quantum nonlinear circuits incorporating ferroelectric materials offer a promising platform for quantum computing. Here, we investigate a nonlinear LC circuit composed of a linear inductor and a quantum ferroelectric capacitor. Using thermo field dynamics (TFD) theory and first-order perturbation analysis, we obtain the thermal vacuum state (TVS) eigenvalues and eigenvectors. Furthermore, we derive both the quantum fluctuations of charge and current at finite temperature and thermodynamic relations governing the system, including the Helmholtz free energy and entropy. Our calculations reveal that thermal charge fluctuations grow slower in nonlinear circuits compared to linear counterparts, with the suppression rate scaling with the nonlinear coefficient. This key insight enables enhanced control over qubit decoherence, advancing noise-resilient quantum hardware design.