Worldline Path Integrals for Gauge Fields and Quantum Computing

Abstract

We study different aspects the worldline path integrals with gauge fields using quantum computing. We use the Variational Quantum Eigensolver (VQE) and Evolution of Hamiltonian (EOH) quantum algorithms and IBM QISKit to perform our computations. We apply these methods to the path integral of a particle moving in a Abelian and non-Abelian background gauge field associated with a constant magnetic field and the field of a chromo-magnetic field. In all cases we found excellent agreement with the classical computation. We also discuss the insertion of vertex operators into the worldline path integrals to study scattering and show how to represent them using unitary operators and quantum gates on near term quantum computers.

added references

References in corpus (7)

• Fuzzy Bags and Wilson Lines
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Scalar heat kernel with boundary in the worldline formalism
• Mixed symmetry Wilson-loop interactions in the worldline formalism
• Worldline Approach to Chiral Fermions
• Non-existence theorems and solutions of the Wu-Yang monopole equation