Quantum Entanglement Dynamics in Topological Insulators for Next-Generation Quantum Computing Applications

Abstract

The stability of quantum entanglement has been a bottleneck in the design of scalable quantum computing architectures, especially due to decoherence and environmental noise in traditional quantum materials. Topological insulators (TIs), which have bulk-insulating states and conducting surface states protected by time-reversal symmetry, offer a promising platform for enhancing entanglement resilience. This paper explores the mechanism of quantum entanglement in two-dimensional topological insulator systems and assesses their potential for next-generation quantum computing. -Using tight-binding Hamiltonian simulations and time-dependent density-matrix simulations, we study the evolution of entanglement as a function of temperature, disorder strength, spin-orbit coupling, etc. The entanglement is measured using concurrence and von Neumann entropy measures among a variety of system setups. Simulations Findings TI-based qubit systems have been found to have a 35-48 percent improvement in entanglement lifetime over conventional semiconductor qubits with comparable noise levels. Remarkably, coherence times of over 120 m are observed at temperatures lower than 50 mK, and an estimated 42% slows down the rate of entanglement degradation in the presence of moderate non-magnetic disorder. Moreover, the statistical analysis of 1,000 simulation runs shows that the standard deviation of entanglement fluctuations has decreased by a factor of 31, leading to better stability and reproducibility. These data demonstrate the inherent fault-tolerant properties of the topological surface states and their ability to maintain quantum correlations over longer periods of operation. Finally, the conclusions indicate that topological insulators provide a viable, scalable material platform for maintaining quantum entanglement, with important implications for quantum logic models and error-tolerant quantum computing. This paper justifies the incorporation of topological materials into future quantum information processing systems.