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<p>This study explores uncertainty relations in Non-unitary Quantum Channels (NUQCs), refining classical quantum uncertainty principles to open systems under decoherence, noise, and thermodynamic influence. Through combining quantum information theory, thermodynamics, and open-system dynamics, this study deduces variance-based and entropic uncertainty bounds under non-unitary evolution modeled by Kraus operators and Lindblad master equations. Uncertainty relations with decoherence corrections, Quantum Fisher Information (QFI), and entropy production are significant contributions that quantify the dynamics between measurement resolution, information degradation, and thermodynamic costs. The theory combines theoretical models with this applications in quantum computation, cryptography, and metrology, with a focus on noise reduction by adaptive Error Correction (EC), Dynamical Decoupling (DD), and Thermodynamic Uncertainty Relations (TURs). Superconducting qubits, trapped ions, and photonic devices have been suggested theoretical models for test and validation, with theoretical numerical simulations to simulate temporal correlations, non-Markovian (NM) behaviors, and purity loss. The results yield fundamental insights into how to optimize quantum technologies under realistic noise constraints, balancing efficiency in EC, entropy creation, and energy dissipation.</p>

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Decoherence uncertainty by entropic and thermodynamic bounds in non-unitary quantum channels

  • 期刊论文

  • 发表日期：

    2026年5月13日

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  • Shyam R. Sihare

摘要

This study explores uncertainty relations in Non-unitary Quantum Channels (NUQCs), refining classical quantum uncertainty principles to open systems under decoherence, noise, and thermodynamic influence. Through combining quantum information theory, thermodynamics, and open-system dynamics, this study deduces variance-based and entropic uncertainty bounds under non-unitary evolution modeled by Kraus operators and Lindblad master equations. Uncertainty relations with decoherence corrections, Quantum Fisher Information (QFI), and entropy production are significant contributions that quantify the dynamics between measurement resolution, information degradation, and thermodynamic costs. The theory combines theoretical models with this applications in quantum computation, cryptography, and metrology, with a focus on noise reduction by adaptive Error Correction (EC), Dynamical Decoupling (DD), and Thermodynamic Uncertainty Relations (TURs). Superconducting qubits, trapped ions, and photonic devices have been suggested theoretical models for test and validation, with theoretical numerical simulations to simulate temporal correlations, non-Markovian (NM) behaviors, and purity loss. The results yield fundamental insights into how to optimize quantum technologies under realistic noise constraints, balancing efficiency in EC, entropy creation, and energy dissipation.