# Quantum simulation dynamics and circuit synthesis of FMO complex on an NMR quantum computer

## TL;DR

This paper demonstrates a digital quantum simulation of the FMO complex, a light-harvesting system, using an NMR quantum computer, employing decoupling and Solovay-Kitaev methods for efficient circuit synthesis.

## Contribution

It introduces a novel quantum simulation approach for the FMO complex on an NMR platform, including circuit design for open system dynamics.

## Key findings

- Successful implementation of quantum circuits for FMO dynamics
- Efficient decomposition of Hamiltonian and Lindbladians into elementary gates
- Simulation of open quantum system behavior on NMR quantum computer

## Abstract

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.