Quantum-Inspired Spectral Geometry for Neural Operator Equivalence and Structured Pruning

• URL: http://arxiv.org/abs/2512.00880v1
• Date: Sun, 30 Nov 2025 12:57:38 GMT
• Title: Quantum-Inspired Spectral Geometry for Neural Operator Equivalence and Structured Pruning
• Authors: Haijian Shao, Wei Liu, Xing Deng,
• Abstract summary: This work introduces a quantum-inspired geometric framework for neural operators.<n>We prove a tight spectral-to-functional equivalence theorem showing that vanishing Fubini-Study/Wasserstein-2 distance implies provable functional closeness.<n> Controlled simulation validates the superiority of the proposed metric over magnitude and random baselines.
• Score: 5.804468830369267
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The rapid growth of multimodal intelligence on resource-constrained and heterogeneous domestic hardware exposes critical bottlenecks: multimodal feature heterogeneity, real-time requirements in dynamic scenarios, and hardware-specific operator redundancy. This work introduces a quantum-inspired geometric framework for neural operators that represents each operator by its normalized singular value spectrum on the Bloch hypersphere. We prove a tight spectral-to-functional equivalence theorem showing that vanishing Fubini--Study/Wasserstein-2 distance implies provable functional closeness, establishing the first rigorous foundation for cross-modal and cross-architecture operator substitutability. Based on this metric, we propose Quantum Metric-Driven Functional Redundancy Graphs (QM-FRG) and one-shot structured pruning. Controlled simulation validates the superiority of the proposed metric over magnitude and random baselines. An extensive experimental validation on large-scale multimodal transformers and domestic heterogeneous hardware (Huawei Ascend, Cambricon MLU, Kunlunxin) hardware is deferred to an extended journal version currently in preparation.

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