Entropy Scaling and Resource Trade-offs in Noisy Multi-Dimensional Quantum Systems
DOI:
https://doi.org/10.70162/mijarcse/2024/v10/i2/v10i201Keywords:
Quantum Entanglement, Entropy Scaling, Noise Resilience, 1D Quantum Chain, 2D Quantum Grid, Quantum Error Correction, Feedback Control, Dynamical Decoupling, Entropy Collapse, Mitigation Cost, Quantum System Topology, Decoherence, Quantum Information Theory, Adaptive Quantum Strategies, Quantum Robustness.Abstract
Understanding the behavior of entanglement entropy under noisy conditions is fundamental to building reliable quantum systems. This paper investigates the scaling and dynamics of entanglement entropy across one-dimensional (1D) and two-dimensional (2D) quantum architectures, with a focus on quantifying the impact of noise and evaluating the performance of various error mitigation strategies. Through simulation-based analysis, we examine how system dimensionality influences entropy growth, collapse thresholds, and scalability. Our results reveal that 2D systems, despite offering richer entanglement, exhibit faster entropy accumulation and earlier collapse under noise compared to their 1D counterparts. We also compare Quantum Error Correction (QEC), Dynamical Decoupling (DD), and Feedback Control in terms of entropy gain versus mitigation cost, establishing a resource-efficiency trade-off for each strategy. The findings highlight the advantages of context-dependent hybrid strategies for optimizing entropy suppression. This study contributes to the development of scalable and robust quantum architectures by providing a systematic framework for entropy monitoring and mitigation under realistic noise environments.
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