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Light-Front Field Theory on Current Quantum Computers.

Michael Kreshchuk1, Shaoyang Jia2,3, William M Kirby1

  • 1Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA.

Entropy (Basel, Switzerland)
|June 2, 2021
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Summary
This summary is machine-generated.

We developed a quantum algorithm for simulating quantum field theory using the light-front formulation. This approach enables studying relativistic nuclear physics and bound states on current quantum computers.

Keywords:
BLFQVQEhadronslight-frontmesonsquantum simulationrelativistic bound states

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Area of Science:

  • Quantum Computing
  • Quantum Field Theory
  • Relativistic Nuclear Physics

Background:

  • Quantum field theory (QFT) simulations are computationally intensive.
  • The light-front formulation offers advantages for certain QFT problems.
  • Digital quantum simulation techniques are advancing rapidly.

Purpose of the Study:

  • To present a novel quantum algorithm for simulating QFT in the light-front formulation.
  • To demonstrate the application of existing quantum devices for studying relativistic nuclear physics.
  • To explore the structure of bound states using quantum computation.

Main Methods:

  • Application of the Variational Quantum Eigensolver (VQE) algorithm.
  • Utilizing the Basis Light-Front Quantization (BLFQ) framework to obtain the light-front Hamiltonian.
  • Implementing digital quantum simulation techniques adapted from quantum chemistry.

Main Results:

  • Successfully calculated the mass, mass radius, decay constant, electromagnetic form factor, and charge radius of the pion.
  • Demonstrated the feasibility of simulating a real physical system on a quantum computer using the light-front approach.
  • Validated the scalability of the BLFQ formulation for future quantum advantage simulations.

Conclusions:

  • The developed quantum algorithm provides a scalable method for QFT simulations.
  • Existing quantum hardware can be leveraged for complex nuclear physics problems.
  • This work marks the first use of the light-front approach for real physical system simulation on a quantum computer.