A machine learned model for quick access to analytic solutions of a QIS system

ORAL

Abstract

For quantum information ion systems, the calculation of analytic solutions describing a state of interest can become computationally expensive even for systems with a relatively small number of ions. This can become a big constriction when attempting to quickly access specific states of a quantum ion system for manipulation. Here we describe the implementation of a Machine Learning algorithm to determine the equilibrium positions of a linear chain of ions, an ideal configuration of ions in a Paul trap or a storage ring with a crystalline beam. Specifically, given the solutions of this system for a relatively small amount of ions, our ML predicts the partial equilibrium solution of the system with a higher number of ions where the numerical approach takes longer calculating time with increasing number of ions.

Authors

  • Salvador Sosa

    University of New Mexico, Department of Electrical and Computer Engineering, University of New Mexico, New Mexico USA

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU

  • Barry Ritchie

    University of New Mexico, Ion Linac Systems, Tech-X Corporation, Los Alamos National Laboratory, Ronald Reagan UCLA Medical Center, Brigham Young University, Brigham Young University - Provo, United States Air Force Academy, university of Michigan, SISSA, Trieste, Stanford University, Worcester Polytechnic Institute, Grinnell College, Department of Physics, Arizona State University, Brookhaven National Laboratory, University of Southern California, Argonne National Laboratory, Department of Electrical and Computer Engineering, University of New Mexico, Department of Electrical and Computer Engineering and Department of Mechanical Engineering, University of New Mexico, Lock Haven University, Illinois State University, Department of Physics, Utah State University, Logan, Utah, 84322, Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003, USA, Department of Materials, Devices, and Energy Technologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA, Kyoto University, University of Guadalajara, University of Florida, Embry-Riddle Aeronautical University, Air Force Research Laboratory, Space Vehicles Directorate, Assurance Technology Corporation, Carlisle, MA, Georgia Tech Research Institute, Atlanta, GA, Utah State University, Georgia Institute of Technology, University of Tennessee, Knoxville, Arizona State University, Department of Physics, United States Air Force Academy, 80840 USAFA, CO, USA, Shaffer Consulting Inc, Max Planck Institute for Astrophysics, Harvard University, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, ASU