  We outline a strategy to compute deeply inelastic scattering structure
functions using a hybrid quantum computer. Our approach takes advantage of the
representation of the fermion determinant in the QCD path integral as a quantum
mechanical path integral over 0+1-dimensional fermionic and bosonic worldlines.
The proper time evolution of these worldlines can be determined on a quantum
computer. While extremely challenging in general, the problem simplifies in the
Regge limit of QCD, where the interaction of the worldlines with gauge fields
is strongly localized in proper time and the corresponding quantum circuits can
be written down. As a first application, we employ the Color Glass Condensate
effective theory to construct the quantum algorithm for a simple dipole model
of the $F_2$ structure function. We outline further how this computation scales
up in complexity and extends in scope to other real-time correlation functions.
