  The zeta-regularization allows to establish a connection between Feynman's
path integral and Fourier integral operator zeta-functions. This fact can be
utilized to perform the regularization of the vacuum expectation values in
quantum field theories. In this proceeding, we will describe the concept of the
zeta-regularization, give a simple example and demonstrate that quantum
computing can be employed to numerically evaluate zeta-regulated vacuum
expectation values on a quantum computer.
