Quantum simulation of quantum field theory in the light-front formulation

  title={Quantum simulation of quantum field theory in the light-front formulation},
  author={Michael Kreshchuk and William M. Kirby and Gary R. Goldstein and H. Beauchemin and Peter J. Love},
  journal={Physical Review A},
We develop quantum simulation algorithms based on the light-front formulation of relativistic quantum field theories. We analyze a simple theory in $1+1D$ and show how to compute the analogues of parton distribution functions of composite particles in this theory. Upon quantizing the system in light-front coordinates, the Hamiltonian becomes block diagonal. Each block approximates the Fock space with a certain harmonic resolution $K$, where the light-front momentum is discretized in $K$ steps… 

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