IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v451y2023ics0096300323001753.html
   My bibliography  Save this article

Perfect state transfer on weighted bi-Cayley graphs over abelian groups

Author

Listed:
  • Wang, Shixin
  • Feng, Tao

Abstract

The study of perfect state transfer on graphs has attracted extensive attention because of its application in quantum information and computation. This paper establishes necessary and sufficient conditions for a weighted bi-Cayley graph having perfect state transfer over any given finite abelian group. As special cases of weighted bi-Cayley graphs, the results in this paper can apply to examine weighted Cayley graphs having perfect state transfer over dihedral groups, generalized dihedral groups, semi-dihedral groups and dicyclic groups.

Suggested Citation

  • Wang, Shixin & Feng, Tao, 2023. "Perfect state transfer on weighted bi-Cayley graphs over abelian groups," Applied Mathematics and Computation, Elsevier, vol. 451(C).
    • Handle: RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323001753
    DOI: 10.1016/j.amc.2023.128006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300323001753
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2023.128006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Charles H. Bennett & David P. DiVincenzo, 2000. "Quantum information and computation," Nature, Nature, vol. 404(6775), pages 247-255, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Eied. M. Khalil & Abdel-Baset. A. Mohamed & Abdel-Shafy F. Obada & Hichem Eleuch, 2020. "Quasi-Probability Husimi-Distribution Information and Squeezing in a Qubit System Interacting with a Two-Mode Parametric Amplifier Cavity," Mathematics, MDPI, vol. 8(10), pages 1-11, October.
    2. Mzaouali, Zakaria & El Baz, Morad, 2019. "Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 119-130.
    3. Zhang, Li-Hua & Yang, Ming & Cao, Zhuo-Liang, 2007. "Entanglement concentration for unknown W class states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 611-616.
    4. Costa, A.C.S. & Beims, M.W. & Angelo, R.M., 2016. "Generalized discord, entanglement, Einstein–Podolsky–Rosen steering, and Bell nonlocality in two-qubit systems under (non-)Markovian channels: Hierarchy of quantum resources and chronology of deaths a," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 469-479.
    5. Muhammad Junaid Umer & Muhammad Imran Sharif, 2022. "A Comprehensive Survey on Quantum Machine Learning and Possible Applications," International Journal of E-Health and Medical Communications (IJEHMC), IGI Global, vol. 13(5), pages 1-17, October.
    6. Zhengmeng Xu & Yujie Wang & Xiaotong Feng & Yilin Wang & Yanli Li & Hai Lin, 2023. "Quantum-Enhanced Forecasting: Leveraging Quantum Gramian Angular Field and CNNs for Stock Return Predictions," Papers 2310.07427, arXiv.org, revised Dec 2023.
    7. A. Rycerz, 2006. "Entanglement and transport through correlated quantum dot," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 52(3), pages 291-296, August.
    8. Abhishek Sharma & Marcus Tze-Kiat Ng & Juan Manuel Parrilla Gutierrez & Yibin Jiang & Leroy Cronin, 2024. "A programmable hybrid digital chemical information processor based on the Belousov-Zhabotinsky reaction," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    9. Sağlam, Utku & Paternostro, Mauro & Müstecaplıoğlu, Özgür E., 2023. "Entanglement transfer via chiral and continuous-time quantum walks on a triangular chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
    10. Khlifi, Y. & Seddik, S. & El Allati, A., 2022. "Steady state entanglement behavior between two quantum refrigerators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323001753. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.