2007/01/02 by Lucian M. Ionescu, Ionescu, Lucian M.
Computer Science · Physics and Astronomy · #18D50 #57Rxx #81Q30 #Computational Physics and Python Applications #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.math/0701069
openalex publication_date 2007/01/02 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
The article is an overview of the role of graph complexes in the Feynman path integral quantization. The underlying mathematical language is that of PROPs and operads, and their representations. The sum over histories approach, the Feynman Legacy, is the bridge between quantum physics and quantum computing, pointing towards a deeper understanding of the fundamental concepts of space, time and information.