Title: Topology-Driven Quantum State Partitioning – Beyond Quantum State Decomposition
Jincheng Zhang
Abstract
Topology-Driven Quantum State Partitioning presents a novel approach to quantum state partitioning that leverages topological invariants as a guiding principle. The core mechanism centers on constructing a system where states exhibiting similar topological properties are naturally separated, offering a potential pathway to identifying inherently stable quantum states. This research addresses limitations in existing approaches by explicitly incorporating topological structure into the partitioning process, leading to a fundamentally different methodology with the potential to unlock new insights into quantum information theory and quantum algorithms. The method's emphasis on the structure of quantum states differentiates it from traditional decomposition techniques and promises to provide a more robust and insightful framework for quantum state analysis.