Title: Topological Quantum Entanglement for Computational Complexity

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

Abstract: Topological Quantum Entanglement for Computational Complexity explores a novel framework for quantifying and predicting computational complexity rooted in the dynamic evolution of topological quantum entanglement. Traditional approaches to quantum computing primarily focus on superposition and entanglement, leading to limitations in accurately assessing complexity. This research proposes a dynamically evolving topological structure that intrinsically reflects the entangled state's properties, enabling precise measurement of entanglement's influence on computational performance. The core mechanism involves creating and manipulating a topological structure that responds to the entangled state's dynamics, providing a mathematically grounded and quantitatively insightful tool for understanding and potentially optimizing computational capabilities. This work represents a significant departure from conventional quantum computing by introducing a fundamentally new metric for complexity, potentially unlocking new algorithmic frontiers.

DOI: 10.5281/zenodo.22153379

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