Quantum computation of scattering in scalar quantum field theories
(pp1014-1080)
Stephen P.
Jordan, Keith S. M. Lee, and John Preskill
doi:
https://doi.org/10.26421/QIC14.11-12-8
Abstracts:
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 φ 4
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.
Key words:
quantum algorithm, simulation, quantum field theory |