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Title The role of boundary conditions in quantum computations of scattering observables
Authors Raul Briceno, Maxwell Hansen, Juan Guerrero Teran, Alexandru Sturzu
JLAB number JLAB-THY-20-3210
LANL number arXiv:2007.01155
Other number DOE/OR/23177-4988; CERN-TH-2020-112
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review D
Volume 103
Page(s) 014506
Refereed
Publication Abstract: Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution, in contrast to the Euclidean- signature calculations routinely performed at present. However, all simulation strategies considered to date still require defining the theory in a finite periodic volume. In this work, we investigate the consequences of this modification for both purely hadronic and Compton-like amplitudes. Using the framework presented Phys. Rev. D101 014509 (2020), we quantify the effects for various 1+1D systems and show that these can be a significant source of systematic uncertainty, even for volumes that are very large by the standards of modern Euclidean calculations. We further show that a combination of different momenta in the finite-volume frame, together with binning over various kinematic variables, can suppress the unwanted volume distortions and improve the extraction of scattering amplitudes.
Experiment Numbers:
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.103.014506
Accepted Manuscript: PhysRevD.103.014506.pdf
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Supporting Datasets: