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

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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).
    6. 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.
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