Abstract.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.

Received: July 24, 2008

AMS Subject Classification: 81QXX, 81TXX

Key Words and Phrases: Feynman path integrals, quantum computing, space-time, information

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 48
Issue: 3