  Photosynthesis is an important and complex physical process in nature, whose
comprehensive understanding would have many relevant industrial applications,
for instance in the field of energy production. In this paper we propose a
quantum algorithm for the simulation of the excitonic transport of energy,
occurring in the first stage of the process of photosynthesis. The algorithm
takes in account the quantum and environmental effects (pure-dephasing),
influencing the quantum transport. We performed quantum simulations of such
phenomena, for a proof of concept scenario, in an actual quantum computer the
IBM Q, of 5 qubits. We validate the results with the Haken-Str\"obl model and
discuss the influence of environmental parameters on the efficiency of the
energy transport.
