A general quantum algorithm for open quantum dynamics demonstrated with the Fenna-Matthews-Olson complex

Zixuan Hu; Kade Head-Marsden; David A. Mazziotti; Prineha Narang; Sabre Kais

doi:10.22331/q-2022-05-30-726

A general quantum algorithm for open quantum dynamics demonstrated with the Fenna-Matthews-Olson complex

Zixuan Hu¹, Kade Head-Marsden², David A. Mazziotti³, Prineha Narang², and Sabre Kais¹

¹Department of Chemistry, Department of Physics, and Purdue Quantum Science and Engineering Institute, Purdue University, West Lafayette, IN 47907, USA
²John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
³Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, IL 60637 USA

Published:	2022-05-30, volume 6, page 726
Eprint:	arXiv:2101.05287v3
Doi:	https://doi.org/10.22331/q-2022-05-30-726
Citation:	Quantum 6, 726 (2022).

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Abstract

Using quantum algorithms to simulate complex physical processes and correlations in quantum matter has been a major direction of quantum computing research, towards the promise of a quantum advantage over classical approaches. In this work we develop a generalized quantum algorithm to simulate any dynamical process represented by either the operator sum representation or the Lindblad master equation. We then demonstrate the quantum algorithm by simulating the dynamics of the Fenna-Matthews-Olson (FMO) complex on the IBM QASM quantum simulator. This work represents a first demonstration of a quantum algorithm for open quantum dynamics with a moderately sophisticated dynamical process involving a realistic biological structure. We discuss the complexity of the quantum algorithm relative to the classical method for the same purpose, presenting a decisive query complexity advantage of the quantum approach based on the unique property of quantum measurement.

Featured image: One monomer of the Fenna-Matthews-Olson (FMO) complex is shown on the left, with the three-chromophore functional subsystem shown in dark green. The dynamical evolution of the populations of the FMO complex model is shown on the right, with the dots representing results simulated by our quantum algorithm on the IBM quantum simulator. The dots agree well with the curves that are generated by classical numerical methods.

Popular summary

Open quantum dynamics is an important subfield of quantum physics that studies the time evolution of a system interacting with an environment. Although numerous quantum algorithms have been developed to simulate quantum systems, so far few studies have been done to simulate open quantum dynamics despite its importance. In this work we develop a generalized quantum algorithm for open quantum dynamics and simulate the Fenna-Matthews-Olson complex on the IBM quantum simulator. This is so far as we know the first quantum simulator demonstration of using a quantum algorithm to simulate such a complex dynamical model.

► BibTeX data

@article{Hu2022generalquantum,
  doi = {10.22331/q-2022-05-30-726},
  url = {https://doi.org/10.22331/q-2022-05-30-726},
  title = {A general quantum algorithm for open quantum dynamics demonstrated with the {F}enna-{M}atthews-{O}lson complex},
  author = {Hu, Zixuan and Head-Marsden, Kade and Mazziotti, David A. and Narang, Prineha and Kais, Sabre},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {6},
  pages = {726},
  month = may,
  year = {2022}
}

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