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Photonic quantum network transmission assisted by the weak cross-Kerr nonlinearity

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Abstract

Classical network coding permits all internal nodes to encode or decode the incoming messages over proper fields in order to complete a network multicast. Similar quantum encoding scheme cannot be easily followed because of various quantum no-go theorems. In this paper, to avoid these theorems in quantum multiple-source networks, we present a photonic strategy by exploring quantum transferring approaches assisted by the weak cross-Kerr nonlinearity. The internal node may nearly deterministically fuse all incoming photons into a single photon with multiple modes. The fused single photon may be transmitted using two- photonic hyperentanglement as a quantum resource. The quantum splitting as the inverse operation of the quantum fusion allows forwarding quantum states under the quantum no-cloning theorem. Furthermore, quantum addressing schemes are presented to complete the quantum transmissions on multiple-source networks going beyond the classical network broadcasts or quantum n-pair transmissions in terms of their reduced forms.

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Authors and Affiliations

  1. College of Mathematical Sciences, Dezhou University, Dezhou, 253023, China

    Feng Wang

  2. Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, 610031, China

    Ming-Xing Luo

  3. School of Software Engineering, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Gang Xu

  4. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Xiu-Bo Chen & Yi-Xian Yang

Authors
  1. Feng Wang
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  2. Ming-Xing Luo
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  3. Gang Xu
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  4. Xiu-Bo Chen
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  5. Yi-Xian Yang
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Corresponding authors

Correspondence to Feng Wang or Ming-Xing Luo.

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Wang, F., Luo, MX., Xu, G. et al. Photonic quantum network transmission assisted by the weak cross-Kerr nonlinearity. Sci. China Phys. Mech. Astron. 61, 060312 (2018). https://doi.org/10.1007/s11433-017-9143-y

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