Quantum Algorithms for Quantum Field Theories

Details Quantum Algorithms for Quantum Field Theories Quantum Algorithms for Quantum Field Theories

2011-11-15

arxiv.org/abs/1111.3633v2

Physics

Quantum Physics

v2: appendix added (15 pages + 25-page appendix)

Scientific paper

Quantum field theory reconciles quantum mechanics and special relativity, and plays a central role in many areas of physics. We develop a quantum algorithm to compute relativistic scattering probabilities in a massive quantum field theory with quartic self-interactions (phi-fourth 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.

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