  The distance-minimizing data-driven computational mechanics has great
potential in engineering applications by eliminating material modeling error
and uncertainty. In this computational framework, the solution-seeking
procedure relies on minimizing the distance between the constitutive database
and the conservation law. However, the distance calculation is time-consuming
and often takes up most of the computational time in the case of a huge
database. In this paper, we show how to use quantum computing to enhance
data-driven computational mechanics by exponentially reducing the computational
complexity of distance calculation. The proposed method is not only validated
on the quantum computer simulator Qiskit, but also on the real quantum computer
from OriginQ. We believe that this work represents a promising step towards
integrating quantum computing into data-driven computational mechanics.
