Feynman and computation: Exploring the limits of computers

Tony Hey

Ronak Tiwari, Amir Hossein Moadab, Pavithra Sripathanallur Murali

There’s plenty of room at the bottom was the title of the lecture that Richard Feynman delivered in 1959. His talk at Caltech had more to do with what the future of information storage looked like, and that there was plenty of room available at the atomic level for the same. In the interest of this article however, we take a generalist view on the title of his talk and interpret it as “. . . plenty of room [for exploration] . . . ”. While Feynman was correct and we’ve indeed witnessed the meteoric rise in storage capabilities, the room for exploration has definitely squeezed a bit lately, with the debut of Quantum Computers.

Jincheng Zhang

This paper explores the application of a novel quantum simulation technique – a non-linear quantum simulation of quantum field theory – to address limitations in classical calculations of complex quantum systems. We propose a modified Feynman path integral method, enhanced with non-linear interactions, to provide a more accurate and efficient representation of particle interactions and quantum field behavior. This work aims to significantly advance the field of quantum field theory by extending its computational capabilities. The core claim is that this approach offers a potentially faster and more accurate method for simulating complex quantum systems than existing classical techniques. The mechanism involves a quantum version of the Feynman path integral method, incorporating non-linear interactions to achieve improved results. This research is driven by the inherent computational cost limitations of traditional methods and the desire to unlock more accurate representations of quantum phenomena.

Christopher R. Monroe

Michael J. Dinneen, Nies, André, Khoussainov, Bakhadyr