Title: Topological Entanglement Preservation Algorithm (TEPA)
Jincheng Zhang
Abstract
The preservation of topological entanglement – a crucial aspect of quantum computation – remains a significant challenge. Decoherence, a phenomenon where entangled qubits lose their correlation, dramatically degrades quantum coherence and information transfer. Existing preservation methods frequently rely on complex post-processing, limiting their applicability and hindering the full potential of quantum systems. This paper introduces the Topological Entanglement Preservation Algorithm (TEPA), a novel algorithm designed to actively maintain topological entanglement throughout the computation, thereby enhancing coherence and information transfer. The core of TEPA lies in the implementation of an "Adaptive Topology Lattice," a dynamically adjusting geometric framework that preemptively mitigates decoherence through specific geometric patterns. This approach offers a fundamentally more robust and reliable method of entanglement preservation compared to traditional techniques. We detail the algorithm's architecture, the underlying mathematical principles, and demonstrate its effectiveness through theoretical analysis and preliminary experimental validation.