Accessing scattering amplitudes using quantum computers

Journal Article · 16 May 2022 · PoS - Proceedings of Science

DOI: https://doi.org/10.22323/1.396.0315 · OSTI ID:1880052

Briceno, Raul A. ^[1]; Carrillo, Marco A. ^[2]; Guerrero, Juan V. ^[3]; Hansen, Maxwell ^[4]; Sturzu, Alexandru M. ^[5]

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1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
2. Old Dominion Univ., Norfolk, VA (United States)
3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
4. Univ. of Edinburgh, Scotland (United Kingdom)
5. New College of Florida, Sarasota, FL (United States)

Future quantum computers may serve as a tool to access non-perturbative real-time correlation functions. In this talk, we discuss the prospects of using these to study Compton scattering for arbitrary kinematics. The restriction to a finite-volume spacetime, unavoidable in foreseeable quantum-computer simulations, must be taken into account in the formalism for extracting scattering observables. One approach is to work with a non-zero iϵ-prescription in the Fourier transform to definite momentum and then to estimate an ordered double limit, in which the spacetime volume is sent to infinity before ϵ is sent to 0. For the amplitudes and parameters considered here, we find that significant volume effects arise, making the required limit very challenging. We present a practical solution to this challenge that may allow for future determinations of deeply virtual Compton scattering amplitudes, as well as many other reactions that are presently outside the scope of standard lattice QCD calculations.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program; Science and Technology Facilities Council (STFC) (United Kingdom)
• Grant/Contract Number: AC05-06OR23177; SC0019229; LD2117; MR/T019956/1; ST/P000630/1
• OSTI ID: 1880052
• Report Number(s): JLAB-THY-21-3549; DOE/OR/23177-5379; arXiv:2112.01968; TRN: US2307706
• Journal Information: PoS - Proceedings of Science, Vol. 396; Conference: The 38. International Symposium on Lattice Field Theory (LATTICE2021), Cambridge (Held Virtually), MA (United States), 26-30 Jul 2021; ISSN 1824-8039
• Publisher: SISSACopyright Statement
• Country of Publication: United States
• Language: English