The Feynman Legacy

Details The Feynman Legacy The Feynman Legacy

2007-01-02

arxiv.org/abs/math/0701069v1

Mathematics

Quantum Algebra

22 pages, LaTeX2e; submitted to Adv. Theor. Math. Phys

Scientific paper

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.

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