  In this work we integrate the variational quantum eigensolver (VQE) with the
adiabatic connection (AC) method for efficient simulations of chemical problems
on near-term quantum computers. Orbital optimized VQE methods are employed to
capture the strong correlation within an active space and classical AC
corrections recover the dynamical correlation effects comprising electrons
outside of the active space. On two challenging strongly correlated problems,
namely the dissociation of N$_2$ and the electronic structure of the
tetramethyleneethane biradical, we show that the combined VQE-AC approach
enhances the performance of VQE dramatically. Moreover, since the AC
corrections do not bring any additional requirements on quantum resources or
measurements, they can literally boost the VQE algorithms. Our work paves the
way towards quantum simulations of real-life problems on near-term quantum
computers.
