<p>We investigate the dynamics of noise-induced sector resolved entropy (NISRE) and total entropy (decoherence) in multipartite qubit systems subjected to classical Ornstein–Uhlenbeck (OU) and Random Telegraph Noise (RTN). The analysis focuses on three qubit systems initially prepared in GHZ, W, and mixed states, considering independent, mixed, and common system environment coupling configurations. Under Gaussian OU noise, both quantities increase monotonically and approach stationary saturation values, consistent with effectively Markovian dynamics. In contrast, non-Gaussian RTN induces pronounced oscillations and partial revivals, reflecting non-Markovian memory effects and information backflow from the environment. A comparative analysis shows that GHZ states exhibit enhanced robustness against noise-induced degradation compared to W states, while mixed environment couplings provide an intermediate behavior between independent and common environments. To further analyze the difference between NISRE and total entropy, we introduce the quantity <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\Delta (t) = S_q^N(t) - D(t)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <mrow> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mo>=</mo> <msubsup> <mi>S</mi> <mi>q</mi> <mi>N</mi> </msubsup> <mrow> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mo>-</mo> <mi>D</mi> <mrow> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>, which captures the contribution of sector-wise entropy redistribution. We find that <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$\Delta (t)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> remains positive for independent environments, negative for common environments, and exhibits a time-dependent sign change in mixed environments. This behavior reflects the interplay between correlated and uncorrelated noise components and highlights the role of environmental correlations in governing sector resolved information flow. Extending the analysis to four and five qubit systems, we observe that increasing the number of qubits accelerates coherence loss and suppresses non-Markovian revival amplitudes, indicating a weakening of memory effects in larger finite systems. Overall, our results show that sector resolved analysis provides additional insight into how environmental correlations influence entropy redistribution in multipartite open quantum systems.</p>

Noise-induced sector-resolved entropy dynamics of three qubit states under Ornstein–Uhlenbeck and random telegraph noise

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发表日期：

2026年4月27日

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Wajid Joyia,
Asif Ilyas,
Amaria Javed

摘要

We investigate the dynamics of noise-induced sector resolved entropy (NISRE) and total entropy (decoherence) in multipartite qubit systems subjected to classical Ornstein–Uhlenbeck (OU) and Random Telegraph Noise (RTN). The analysis focuses on three qubit systems initially prepared in GHZ, W, and mixed states, considering independent, mixed, and common system environment coupling configurations. Under Gaussian OU noise, both quantities increase monotonically and approach stationary saturation values, consistent with effectively Markovian dynamics. In contrast, non-Gaussian RTN induces pronounced oscillations and partial revivals, reflecting non-Markovian memory effects and information backflow from the environment. A comparative analysis shows that GHZ states exhibit enhanced robustness against noise-induced degradation compared to W states, while mixed environment couplings provide an intermediate behavior between independent and common environments. To further analyze the difference between NISRE and total entropy, we introduce the quantity $\Delta (t) = S_q^N(t) - D(t)$ $Δ (t) = S_{q}^{N} (t) - D (t)$ , which captures the contribution of sector-wise entropy redistribution. We find that $\Delta (t)$ $Δ (t)$ remains positive for independent environments, negative for common environments, and exhibits a time-dependent sign change in mixed environments. This behavior reflects the interplay between correlated and uncorrelated noise components and highlights the role of environmental correlations in governing sector resolved information flow. Extending the analysis to four and five qubit systems, we observe that increasing the number of qubits accelerates coherence loss and suppresses non-Markovian revival amplitudes, indicating a weakening of memory effects in larger finite systems. Overall, our results show that sector resolved analysis provides additional insight into how environmental correlations influence entropy redistribution in multipartite open quantum systems.