Multipartite entanglement in the Fenna-Matthews-Olson (FMO) pigment-protein complex

TL;DR

This study explores multipartite entanglement dynamics in the FMO complex, revealing that non-Markovian environments sustain entanglement and enhance quantum information processing capabilities at physiological temperatures.

Contribution

It provides the first detailed analysis of multipartite entanglement evolution and quantum information tasks in the FMO complex under realistic environmental conditions.

Findings

Multipartite entanglement lasts from 0.5 to 1 ps in FMO.

Revival of entanglement correlates with non-Markovian environment strength.

Quantum teleportation fidelities are enhanced by environmental revivals.

Abstract

We investigate multipartite states in the Fenna-Matthews-Olson (FMO) pigment-protein complex of the green sulfur bacteria using a Lorentzian spectral density of the phonon reservoir fitted with typical parameter estimates of the species, P. aestuarii. The evolution of the entanglement measure of the excitonic W qubit states is evaluated in the picosecond time range, showing increased revivals in the non-Markovian regime. Similar trends are observed in the evolution dynamics of the Meyer-Wallach measure of the N-exciton multipartite state, with results showing that multipartite entanglement can last from 0.5 to 1 ps, between the Bchls of the FMO complex. The teleportation and quantum information splitting fidelities associated with the GHZ and W_A resource states of the excitonic qubit channels of the FMO complex show that revivals in fidelities increase with the degree of non-Markovian strength of the decoherent environment. Results indicate that quantum information processing tasks involving teleportation followed by the decodification process involving W_A states of the FMO complex, may play a critical role during coherent oscillations at physiological temperatures.