  Adaptive Variational Quantum Dynamics (AVQD) algorithms offer a promising
approach to providing quantum-enabled solutions for systems treated within the
purview of open quantum dynamical evolution. In this study, we employ the
unrestricted vectorization variant of AVQD to simulate and benchmark various
non-unitarily evolving systems. We exemplify how construction of an expressible
ansatz unitary and the associated operator pool can be implemented to analyze
examples such as the Fenna Matthews Olson complex (FMO) and even the
permutational invariant Dicke model of quantum optics. We furthermore show an
efficient decomposition scheme for the ansatz used, which can extend its
applications to a wide range of other open quantum system scenarios in near
future. In all cases the results obtained are in excellent agreement with exact
numerical computations which bolsters the effectiveness of this technique. Our
successful demonstrations pave the way for utilizing this adaptive variational
technique to study complex systems in chemistry and physics, like light
harvesting devices, thermal, and opto mechanical switches, to name a few.
