  Linear response (LR) theory is a powerful tool in classic quantum chemistry
crucial to understanding photo-induced processes in chemistry and biology.
However, performing simulations for large systems and in the case of strong
electron correlation remains challenging. Quantum computers are poised to
facilitate the simulation of such systems, and recently, a quantum linear
response formulation (qLR) was introduced. To apply qLR to near-term quantum
computers beyond a minimal basis set, we here introduce a resource-efficient
qLR theory using a truncated active-space version of the multi-configurational
self-consistent field LR ansatz. Therein, we investigate eight different
near-term qLR formalisms that utilize novel operator transformations that allow
the qLR equations to be performed on near-term hardware. Simulating excited
state potential energy curves and absorption spectra for various test cases, we
identify two promising candidates dubbed ``proj LRSD'' and ``all-proj LRSD''.
