Manara - Qatar Research Repository
Browse

A quantum algorithm for evolving open quantum dynamics on quantum computing devices

journal contribution
submitted on 2024-07-14, 09:22 and posted on 2024-07-14, 10:29 authored by Zixuan Hu, Rongxin Xia, Sabre Kais

Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in most realistic physical models. In this work we propose and demonstrate a general quantum algorithm to evolve open quantum dynamics on quantum computing devices. The Kraus operators governing the time evolution can be converted into unitary matrices with minimal dilation guaranteed by the Sz.-Nagy theorem. This allows the evolution of the initial state through unitary quantum gates, while using significantly less resource than required by the conventional Stinespring dilation. We demonstrate the algorithm on an amplitude damping channel using the IBM Qiskit quantum simulator and the IBM Q 5 Tenerife quantum device. The proposed algorithm does not require particular models of dynamics or decomposition of the quantum channel, and thus can be easily generalized to other open quantum dynamical models.

Other Information

Published in: Scientific Reports
License: https://creativecommons.org/licenses/by/4.0
See article on publisher's website: https://dx.doi.org/10.1038/s41598-020-60321-x

Funding

Qatar National Research Fund (NPRP X-107-1-027), COHERENT ENERGY TRANSFER IN NOVEL EXCITONIC MATERIALS FOR SOLAR ENERGY APPLICATIONS.

Office of Basic Energy Sciences (DE-SC0019215), Quantum Computing Algorithms and Applications for Coherent and Strongly Correlated Chemical Systems.

National Science Foundation (1839191-ECCS).

History

Language

  • English

Publisher

Springer Nature

Publication Year

  • 2020

License statement

This Item is licensed under the Creative Commons Attribution 4.0 International License.

Institution affiliated with

  • Hamad Bin Khalifa University
  • Qatar Environment and Energy Research Institute - HBKU

Usage metrics

    Qatar Environment and Energy Research Institute - HBKU

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC