Accessing scattering amplitudes using quantum computers

Journal Article · 15 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, Newport News, VA (United States)
• Sponsoring Organization: Science and Technology Facilities Council (STFC) (United Kingdom); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: AC05-06OR23177; SC0019229
• OSTI ID: 1880052
• Report Number(s): DOE/OR/23177-5379; JLAB-THY-21-3549; arXiv:2112.01968
• Journal Information: PoS - Proceedings of Science, Journal Name: PoS - Proceedings of Science Vol. 396; ISSN 1824-8039
• Publisher: SISSACopyright Statement
• Country of Publication: United States
• Language: English