IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v585y2022ics0378437121006737.html
   My bibliography  Save this article

Entanglement swapping for Bell states and Greenberger–Horne–Zeilinger states in qubit systems

Author

Listed:
  • Ji, Zhaoxu
  • Fan, Peiru
  • Zhang, Huanguo

Abstract

We introduce a class of two-level multi-particle Greenberger–Horne–Zeilinger (GHZ) states, and study entanglement swapping between two systems for Bell states and the class of GHZ states in qubit systems, respectively. We give the formulas for the entanglement swapping of Bell states and GHZ states in any number of qubit systems. We further consider entanglement swapping between any number of Bell states and between any number of the introduced GHZ states, and propose a series of entanglement swapping schemes in a detailed way. We illustrate the applications of such schemes in quantum information processing by proposing quantum protocols for quantum key distribution, quantum secret sharing and quantum private comparison.

Suggested Citation

  • Ji, Zhaoxu & Fan, Peiru & Zhang, Huanguo, 2022. "Entanglement swapping for Bell states and Greenberger–Horne–Zeilinger states in qubit systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    • Handle: RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121006737
    DOI: 10.1016/j.physa.2021.126400
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121006737
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.126400?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. Wang, Tie-Jun & Zhou, Hong-Yu & Deng, Fu-Guo, 2008. "Quantum state sharing of an arbitrary m-qudit state with two-qudit entanglements and generalized Bell-state measurements," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(18), pages 4716-4722.
    2. Zhou, Ping & Li, Xi-Han & Liang, Yu-Jie & Deng, Fu-Guo & Zhou, Hong-Yu, 2007. "Multiparty quantum secret sharing with pure entangled states and decoy photons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 164-169.
    3. Macchiavello, Chiara, 2004. "On the role of entanglement in quantum information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 68-75.
    4. Lai, Hong & Pieprzyk, Josef & Orgun, Mehmet A., 2020. "Novel quantum key distribution with shift operations based on Fibonacci and Lucas valued orbital angular momentum entangled states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    5. Qiang, Wen-Chao & Cardoso, W.B. & Zhang, Xin-Hui, 2010. "The entropy of entangled three-level atoms interacting with entangled cavity fields: Entanglement swapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5109-5115.
    6. Yang, Ming & Cao, Zhuo-Liang, 2006. "Quantum information processing using coherent states in cavity QED," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 243-249.
    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. Cai, Xiao-Qiu & Wang, Tian-Yin & Wei, Chun-Yan & Gao, Fei, 2022. "Cryptanalysis of quantum digital signature for the access control of sensitive data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    2. Cai, Xiao-Qiu & Liu, Zi-Fan & Wei, Chun-Yan & Wang, Tian-Yin, 2022. "Long distance measurement-device-independent three-party quantum key agreement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    3. Chen, Lingli & Li, Qin & Liu, Chengdong & Peng, Yu & Yu, Fang, 2021. "Efficient mediated semi-quantum key distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(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:phsmap:v:585:y:2022:i:c:s0378437121006737. 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.