Calculating the phase shift of a scattering process on a trapped-ion quantum computer

ORAL

Abstract

Simulating real-time evolution for lattice quantum chromodynamics (QCD) on a large Hilbert space is unfeasible with current classical methods. Quantum computers offer an alternative approach to solve this problem. Estimating the phase shift of a scattering process in the quantum Ising model on quantum computers forms a tentative first step towards this goal. However, gate errors and decoherence limit the evolution depth that can be realized on near-term quantum devices. We demonstrate a method to extract the phase shift using information obtained in the early stages of the scattering event. We implement real-time evolution of a one-dimensional scattering process for the quantum mechanics limit with two qubits and the field theory formulation with four qubits on a trapped-ion quantum computer.

**Supported by the NSF PFC@JQI grant no. PHY-1430094, the DoE grant no. DESC0021143, no. DE-SC0019139 and no.DE-AC05-00OR22725

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Publication: Yingyue Zhu, Erik Gustafson, Patrick Dreher, Yannick Meurice, Norbert M. Linke (2021) [unpublished]

Presenters

  • Yingyue Zhu

    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park

Authors

  • Yingyue Zhu

    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park

  • Erik J Gustafson

    • Department of Physics and Astronomy, The University of Iowa, Iowa City, IA 52242, USA

  • Patrick Dreher

    • Department of Computer Science, North Carolina State University, Raleigh, NC 27695, USA and Department of Physics, North Carolina State University, Raleigh, NC 27695, USA

  • Yannick L Meurice

    • Department of Physics and Astronomy, The University of Iowa, Iowa City, IA 52242, USA

  • Norbert M Linke

    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park
    • Joint Quantum Institute and Department of Physics, University of Maryland, College Park 20740, USA