Quantum algorithms for quantum field theories.

Science

Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA.

Published: June 2012

AI Article Synopsis

  • Quantum field theory merges quantum mechanics with special relativity and is crucial in various physics domains.
  • We created a quantum algorithm to calculate scattering probabilities in a specific type of quantum field theory (φ(4) theory) for up to four-dimensional spacetime.
  • This algorithm runs in polynomial time for key factors like particle count and precision, and significantly outperforms classical algorithms in strong-coupling and high-precision scenarios, achieving exponential speedup.

Article Abstract

Quantum field theory reconciles quantum mechanics and special relativity, and plays a central role in many areas of physics. We developed a quantum algorithm to compute relativistic scattering probabilities in a massive quantum field theory with quartic self-interactions (φ(4) theory) in spacetime of four and fewer dimensions. Its run time is polynomial in the number of particles, their energy, and the desired precision, and applies at both weak and strong coupling. In the strong-coupling and high-precision regimes, our quantum algorithm achieves exponential speedup over the fastest known classical algorithm.

Download full-text PDF

Source
http://dx.doi.org/10.1126/science.1217069DOI Listing

Publication Analysis

Top Keywords

quantum field
12
field theory
8
quantum algorithm
8
quantum
7
quantum algorithms
4
algorithms quantum
4
field theories
4
theories quantum
4
theory reconciles
4
reconciles quantum
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!