QUANTRA: An Efficient Tool for Neutron Transport Calculations Using Quantum-Inspired and Traditional Approaches

This paper introduces QUANTRA, an efficient tool for neutron transport calculations in nuclear reactor physics. QUANTRA implements both a novel Tensor Train Subspace Method (TTSM) and the traditional Inverse Power Method (IPM), leveraging NumPy vectorization techniques to optimize performance across slab geometry. QUANTRA calculates the flux and effective multiplication factor in the system by solving the integral form of the transport equation using the method of collision probabilities (CPM). Our comparative analysis between TTSM and IPM demonstrates substantial improvements in computational efficiency. For supercritical benchmarks, QUANTRA achieves up to 130% faster convergence and up to 13 times faster convergence for certain cases. Significant per-formance gains are also observed in critical and subcritical benchmarks, with improvements scaling with problem complexity. Additionally, TTSM establishes an equivalent reduced model, reducing storage requirements and computational complexity for high-dimensional problems, further enhancing its efficiency over IPM. QUANTRA features a user-friendly Graphical User Interface (GUI), making it accessible to both researchers and practitioners. Our results show that TTSM provides increased adaptability and scalability compared to IPM, while also introducing new challenges in system design and implementation.