Abstract
Parton distribution functions and hadronic tensors may be computed on a universal quantum computer without many of the complexities that apply to Euclidean lattice calculations. We detail algorithms for computing predictions of parton distribution functions and the hadronic tensor in the Thirring model. Their generalization to QCD is discussed with the conclusion that the parton distribution function is best obtained by fitting the hadronic tensor rather than direct calculation. As a side effect of this method, we find that lepton-hadron cross sections may be computed relatively cheaply. Finally, we estimate the computational cost of performing such a calculation on a digital quantum computer, including the cost of state preparation for physically relevant parameters.
- Received 3 September 2019
- Accepted 15 February 2020
DOI:https://doi.org/10.1103/PhysRevResearch.2.013272
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Published by the American Physical Society