Abstract
The analogy between quantum chemistry and light-front quantum field theory, first noted by Wilson, serves as motivation to develop light-front quantum simulation of quantum field theory. We demonstrate how calculations of hadron structure can be performed on noisy intermediate-scale quantum devices within the basis light-front quantization (BLFQ) framework. Within BLFQ, relativistic quantum field theories take a form that permits direct application of methods for digital quantum simulation of quantum chemistry, which can be readily scaled into the quantum advantage regime. We calculate the light-front wave functions of pions using an effective light-front Hamiltonian in a basis representation on a current quantum processor. We use the variational quantum eigensolver to find the ground-state energy and the corresponding wave function, which is subsequently used to calculate pion mass radius, decay constant, elastic form factor, and charge radius.
Highlights
In [1], Feynman was first to suggest that general quantum systems could only be efficiently simulated by machines obeying quantum laws themselves
In our previous work [41] we demonstrated that the lightfront (LF) quantization of quantum field theory provides a natural framework for ab initio digital quantum simulation of QFT in the second-quantized formulation
While the computational methods we develop apply to simulations of multiparticle systems, in order to match the capabilities of existing devices and demonstrate the efficiency of the basis light-front quantization (BLFQ) formulation, we illustrate our approach by considering the dynamics of valence quarks for light mesons on the light front using the Hamiltonian from [52]
Summary
In [1], Feynman was first to suggest that general quantum systems could only be efficiently simulated by machines obeying quantum laws themselves. While the computational methods we develop apply to simulations of multiparticle systems, in order to match the capabilities of existing devices and demonstrate the efficiency of the BLFQ formulation, we illustrate our approach by considering the dynamics of valence quarks for light mesons on the light front using the Hamiltonian from [52]. This Hamiltonian includes the kinetic energy, the confinement potential in both the longitudinal and the transverse directions [46], and the Nambu–Jona-Lasinio (NJL) interaction [53] to account for the chiral interactions among quarks. IV we describe two variations of the VQE algorithm, and show the results of running it on an existing quantum computer
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