I think infinite computation would be needed to consider virtual particles.
Consider the paper Tenth-Order QED Contribution to the Electron g-2.
Just to calculate the QED contribution to the electron g-factor, an infinite number of Feynman diagrams need to be considered.
The paper explains that for the 8th order contribution, 891 Feynman diagrams need to be considered and for the 10th order 12672 diagrams need to be considered. There are an infinite number of orders of contribution.
$$g_e/2 = 1 + C_2(\frac{\alpha}{\pi}) + C_4(\frac{\alpha}{\pi})^2 + C_6(\frac{\alpha}{\pi})^3 + C_8(\frac{\alpha}{\pi})^4 + ...$$
"it takes a computing machine an infinite number of logical operations to figure out what goes on in no matter how tiny a region of space, and no matter how tiny a region of time" Richard Feynman, The Character of Physical Law.