# Quantum simulation of FMO complex using one-parameter semigroup of generators

## TL;DR

This paper presents a quantum algorithm for simulating the Markovian dynamics of the FMO complex in photosynthesis using a one-parameter semigroup of generators, with a focus on spectral decomposition and circuit implementation.

## Contribution

It introduces a novel quantum simulation method for the FMO complex based on a universal set of generators derived from spectral decomposition.

## Key findings

- Developed a quantum circuit for implementing the generators.
- Analyzed the spectral decomposition of the GKS matrix.
- Demonstrated the simulation of Markovian dynamics in photosynthesis.

## Abstract

The application of open quantum systems in biological processes such as photosynthetic complexes has recently received renewed attention. In this paper, we introduce a quantum algorithm for simulation of Markovian dynamics of the Fenna-Matthew-Olson (FMO) complex that exists in photosynthesis using a "universal set" of a one-parameter semigroup of generators. We investigate the details of each generator that has been obtained from spectral decomposition of the Gorini-Kossakowski-Sudarshan (GKS) matrix by using linear combination and unitary conjugation. Also, we present a simple quantum circuit for the implementation of these generators.