Dynamic Topological Abstraction with Quantum Entanglement Computation
Jincheng Zhang
Abstract
This paper introduces a novel computational framework termed Dynamic Topological Abstraction (DTA) leveraging quantum entanglement. DTA proposes a mechanism where computational units dynamically form adaptive topological networks based on entangled states, potentially surpassing the limitations of classical bits and enabling parallel computations at unprecedented scales. The core of the framework relies on constructing reconfigurable topological networks through multi-body quantum entanglement. Each node represents a quantum state, and entanglement between nodes defines the topological connections. The strength of entanglement dictates the 'bandwidth' of the connection. Dynamic adjustment of entangled states allows the network topology to adapt to specific computational tasks, offering a fundamentally new approach to quantum computation. The proposed system aims to bridge the gap between the static nature of traditional topological computation and the hardware constraints of conventional quantum computing, with the potential for exponential performance gains. This work outlines the theoretical foundation and key design principles of DTA.