Computing real time correlation functions on a hybrid classical/quantum computer
Abstract
Quantum devices may overcome limitations of classical computers in studies of nuclear structure functions and parton Wigner distributions of protons and nuclei. In this talk, we discuss a worldline approach to compute nuclear structure functions in the high energy Regge limit of QCD using a hybrid quantum computer, by expressing the fermion determinant in the QCD path integral as a quantum mechanical path integral over 0 + 1-dimensional fermionic and bosonic world-lines in background gauge fields. Our simplest example of computing the well-known dipole model result for the structure function F2 in the high energy Regge limit is feasible with NISQ era technology using few qubits and shallow circuits. We note this example can be scaled up in complexity and extended in scope to compute structure functions, scattering amplitudes and other real-time correlation functions in QCD, relevant for example to describe non-equilibrium transport of quarks and gluons in a Quark-Gluon-Plasma.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Brookhaven National Lab. (BNL), Upton, NY (United States); The Ohio State Univ., Columbus, OH (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG)
- Contributing Org.:
- TMD Collaboration
- OSTI Identifier:
- 1603299
- Alternate Identifier(s):
- OSTI ID: 1760958
- Report Number(s):
- BNL-213678-2020-JAAM; arXiv:2001.11145v1
Journal ID: ISSN 0375-9474; TRN: US2104085
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Physics. A
- Additional Journal Information:
- Journal Volume: 1005; Conference: 28. International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2019), Wuhan (China), 4-9 Nov 2019; Journal ID: ISSN 0375-9474
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Mueller, Niklas, Tarasov, Andrey, and Venugopalan, Raju. Computing real time correlation functions on a hybrid classical/quantum computer. United States: N. p., 2020.
Web. doi:10.1016/j.nuclphysa.2020.121889.
Mueller, Niklas, Tarasov, Andrey, & Venugopalan, Raju. Computing real time correlation functions on a hybrid classical/quantum computer. United States. https://doi.org/10.1016/j.nuclphysa.2020.121889
Mueller, Niklas, Tarasov, Andrey, and Venugopalan, Raju. Thu .
"Computing real time correlation functions on a hybrid classical/quantum computer". United States. https://doi.org/10.1016/j.nuclphysa.2020.121889. https://www.osti.gov/servlets/purl/1603299.
@article{osti_1603299,
title = {Computing real time correlation functions on a hybrid classical/quantum computer},
author = {Mueller, Niklas and Tarasov, Andrey and Venugopalan, Raju},
abstractNote = {Quantum devices may overcome limitations of classical computers in studies of nuclear structure functions and parton Wigner distributions of protons and nuclei. In this talk, we discuss a worldline approach to compute nuclear structure functions in the high energy Regge limit of QCD using a hybrid quantum computer, by expressing the fermion determinant in the QCD path integral as a quantum mechanical path integral over 0 + 1-dimensional fermionic and bosonic world-lines in background gauge fields. Our simplest example of computing the well-known dipole model result for the structure function F2 in the high energy Regge limit is feasible with NISQ era technology using few qubits and shallow circuits. We note this example can be scaled up in complexity and extended in scope to compute structure functions, scattering amplitudes and other real-time correlation functions in QCD, relevant for example to describe non-equilibrium transport of quarks and gluons in a Quark-Gluon-Plasma.},
doi = {10.1016/j.nuclphysa.2020.121889},
journal = {Nuclear Physics. A},
number = ,
volume = 1005,
place = {United States},
year = {Thu Dec 10 00:00:00 EST 2020},
month = {Thu Dec 10 00:00:00 EST 2020}
}
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