  Recently, the dynamics simulation of light-harvesting complexes as an open
quantum system, in the weak and strong coupling regimes, has received much
attention. In this paper, we investigate a digital quantum simulation approach
of the Fenna-Matthews-Olson (FMO) photosynthetic pigment-protein complex
surrounded with a Markovian bath, i.e., memoryless, based on a nuclear magnetic
resonance (NMR) quantum computer. For this purpose, we apply the
decoupling(recoupling) method, which is turn off(on) the couplings and also
Solovay-Kitaev techniques to decompose Hamiltonian and Lindbladians into
efficient elementary gates on an NMR simulator. Finally, we design the quantum
circuits for the unitary and non-unitary part due to the system-environment
interactions of the open system dynamics.
