Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-20
Physics
High Energy Physics
High Energy Physics - Theory
63 pages. Expansion of arXiv:1111.3633 with additional material
Scientific paper
Quantum field theory provides the framework for the most fundamental physical theories to be confirmed experimentally, and has enabled predictions of unprecedented precision. However, calculations of physical observables often require great computational complexity and can generally be performed only when the interaction strength is weak. A full understanding of the foundations and rich consequences of quantum field theory remains an outstanding challenge. We develop a quantum algorithm to compute relativistic scattering amplitudes in massive phi-fourth theory in spacetime of four and fewer dimensions. The algorithm runs in a time that is polynomial in the number of particles, their energy, and the desired precision, and applies at both weak and strong coupling. Thus, it offers exponential speedup over existing classical methods at high precision or strong coupling.
Jordan Stephen P.
Lee Keith S. M.
Preskill John
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