In this seminar, we explore the intersection of precision calculations in quantum field theory (QFT) and quantum computing through the Loop-Tree Duality (LTD) theorem. LTD simplifies the evaluation of multi-loop Feynman diagrams by transforming loop integrals into tree-level-like structures, revealing the causal nature of scattering amplitudes. This transformation reduces computational complexity and enhances our theoretical understanding of high-energy processes. Quantum algorithms are applied to search the combinatorial space of causal configurations in LTD. Together, these methods showcase the power of quantum computing in advancing precision calculations in QFT, providing promising tools for the future of high-energy physics.
Nicolás Loayza y Rebeca Beltrán