This revised manuscript proposes Quantum Topology-GRPO, a fully quantum-native variational extension of the classical Topology-GRPO framework for graph-structured multi-group decision systems. The original classical Topology-GRPO eliminates intra-group critics and computes topological advantages solely via normalized reward signals, yet suffers from limited representation capacity and linear computational scaling on high-dimensional graph tasks. This work addresses these bottlenecks by fully replacing classical submodules with parameterized quantum circuits (PQCs) and leveraging core quantum properties including superposition, Bell-pair entanglement, quantum teleportation, and amplitude estimation. Five core quantum innovations are integrated into the framework: entanglement-based lossless inter-group message passing, quadratic-speed quantum amplitude estimation for reward statistics, a dedicated global quantum value function for cross-group topological calibration, SWAP-test fidelity consistency constraints, and von Neumann entropy regularization to stabilize variational quantum policy training. We define the macro effective quantum duality coupling metric C_{eff}^{q} to distinguish weak decoherent quantum coupling and strong coherent coupling regimes, enabling automatic switching between hybrid quantum-classical fusion and the proposed non-commutative q-deformed Q-Fuse_{q} operator. The twist angle \tilde{\theta} controlling asymmetric Ising qubit interactions is only updated in strong coupling regimes via the parameter-shift gradient rule. The complete composite loss unifies clipped quantum policy gradient loss, quantum fidelity consistency loss, quantum KL divergence regularization, and von Neumann entropy maximization for exploration. A full end-to-end quantum training pipeline compatible with NISQ hardware is elaborated. The architecture retains full backward compatibility with classical-quantum hybrid Topology-GRPO; all quantum-specific modules vanish when decoherence dominates or \tilde{\theta} \to 0. Controlled ablation experiments are designed to quantify the independent contribution of C_{eff}^{q}, adaptive fusion, and non-commutative quantum interaction terms. All quantum engineering components are self-contained and require no external spacetime duality theoretical prerequisites. This manuscript is first released, archived and continuously updated on Hongqiao University Tech Academic Site (https://hongqiao.tech). All official revisions, supplementary materials and long-term stable versions of this work are hosted on this academic platform.