Simulating Field Theory in the Light-Front Formulation

By Peter J. Love

Department of Physics and Astronomy, Tufts University, Medford, MA

Published on

Abstract

I will talk about quantum simulation algorithms based on the light-front formulation of quantum field theory. They will range from ab initio simulations with nearly optimal resource scalings to VQE-inspired methods available for existing devices.

Our work is greatly inspired by the analogy, first noted by Kenneth Wilson, between the light-front formulation of QFT and quantum chemistry. Our approach to simulating field theory is an alternative to lattice techniques; it allows one to use methods developed for quantum simulation of quantum chemistry.

Bio

Peter J. Love Peter J. Love is an assistant professor of physics and astronomy at Tufts University.

His areas of expertise are:
Quantum Information, Quantum Simulation, Adiabatic Quantum Computation, and Computational Physics

Peter's research interests are:
Quantum information faces three basic questions. Firstly, what are quantum computers good for? Secondly, how do we build one? Thirdly, what will quantum information contribute if technological obstacles to constructing a large scale quantum computer prove insuperable? The first question is the search for problems which quantum computers can solve more easily than classical computers. The second is an investigation of which physical systems one could use to build a quantum computer. The third leads to the search for spinoffs in classical computation, and the question of where the classical/quantum boundary lies. I am interested in all three questions.

References

  • Michael Kreshchuk, Shaoyang Jia, William M. Kirby, Gary Goldstein, James P. Vary, Peter J. Love, Light-Front Field Theory on Current Quantum Computers, https://arxiv.org/abs/2009.07885
  • Michael Kreshchuk, William M. Kirby, Gary Goldstein, Hugo Beauchemin, Peter J. Love, Quantum Simulation of Quantum Field Theory in the Light-Front Formulation, https://arxiv.org/abs/2002.04016

Cite this work

Researchers should cite this work as follows:

  • Peter J. Love (2021), "Simulating Field Theory in the Light-Front Formulation," https://nanohub.org/resources/34683.

    BibTex | EndNote

Time

Tags

Simulating Field Theory in the Light-Front Formulation
  • Quantum Simulation of quantum field theory in the light-front formulation 1. Quantum Simulation of quantum … 0
    00:00/00:00
  • NISQ and beyond 2. NISQ and beyond 196.83016349683018
    00:00/00:00
  • A Quantum Computer for Chemistry? 3. A Quantum Computer for Chemist… 327.52752752752752
    00:00/00:00
  • Simulating Fermions on a Quantum Computer 4. Simulating Fermions on a Quant… 446.78011344678015
    00:00/00:00
  • Two ways to simulate time evolution m 5. Two ways to simulate time evol… 559.09242575909241
    00:00/00:00
  • NISQ applications - Variational Algorithms 6. NISQ applications - Variationa… 702.635969302636
    00:00/00:00
  • Variational Quantum Eigensolver - VQE 7. Variational Quantum Eigensolve… 898.03136469803144
    00:00/00:00
  • Nasty, brutish and short: VQE on NISQ devices 8. Nasty, brutish and short: VQE … 1031.6649983316649
    00:00/00:00
  • From Quantum Chemistry to Quantum Field Theory 9. From Quantum Chemistry to Quan… 1103.5368702035369
    00:00/00:00
  • RESEARCH ARTICLE 10. RESEARCH ARTICLE 1324.3243243243244
    00:00/00:00
  • Static observable in QCD - the parton distribution function 11. Static observable in QCD - the… 1443.2432432432433
    00:00/00:00
  • The Light Front formulation 12. The Light Front formulation 1552.0854187520854
    00:00/00:00
  • Two requirements of fundamental theory 13. Two requirements of fundamenta… 1630.5305305305305
    00:00/00:00
  • Forms of Relativistic Dynamics 14. Forms of Relativistic Dynamics 1717.5508842175509
    00:00/00:00
  • Lorentz transformations in the light-front 15. Lorentz transformations in the… 1840.3737070403738
    00:00/00:00
  • Start with a simple model 16. Start with a simple model 1907.0737404070737
    00:00/00:00
  • Light-Front quantization in 1+1D 17. Light-Front quantization in 1+… 2151.9853186519854
    00:00/00:00
  • Start with a simple model in 1+1D 18. Start with a simple model in 1… 2249.8498498498498
    00:00/00:00
  • Light-Front Fock space in 1+1 D 19. Light-Front Fock space in 1+1 … 2331.4314314314315
    00:00/00:00
  • What is the meaning of Harmonic Resolution? 20. What is the meaning of Harmoni… 2348.4818151484819
    00:00/00:00
  • Interacting theory 21. Interacting theory 2426.3263263263266
    00:00/00:00
  • What do we want to compute? 22. What do we want to compute? 2534.3343343343345
    00:00/00:00
  • Parton Distribution Function 23. Parton Distribution Function 2558.324991658325
    00:00/00:00
  • Compact Mapping to Qubits in 1+1D 24. Compact Mapping to Qubits in 1… 2591.9586252919589
    00:00/00:00
  • Simulation cost in 1+1D 25. Simulation cost in 1+1D 2686.353019686353
    00:00/00:00
  • Compact Mapping to Qubits in 3+1D 26. Compact Mapping to Qubits in 3… 2825.7257257257256
    00:00/00:00
  • Counting qubits for 3+1D QCD 27. Counting qubits for 3+1D QCD 2893.2265598932267
    00:00/00:00
  • Light-Front simulations on NISQ devices 28. Light-Front simulations on NIS… 2944.6112779446112
    00:00/00:00
  • BLFQ in 3 + 1D 29. BLFQ in 3 + 1D 3053.3867200533869
    00:00/00:00
  • BLFQ in 3 + 1D 30. BLFQ in 3 + 1D 3126.8601935268603
    00:00/00:00
  • BLFQ in 3 + 1D 31. BLFQ in 3 + 1D 3151.9185852519186
    00:00/00:00
  • BLFQ in 3 + 1D 32. BLFQ in 3 + 1D 3213.0463797130465
    00:00/00:00
  • Errors: mass 33. Errors: mass 3277.8111444778115
    00:00/00:00
  • Errors: charge radius 34. Errors: charge radius 3297.3973973973975
    00:00/00:00
  • Summary 35. Summary 3328.8621955288622
    00:00/00:00