Efficient entanglement channel construction schemes for a theoretical quantum network model with d-level system

Quantum entanglement plays an essential role in the field of quantum information and quantum computation. In quantum network, a general assumption for many quantum tasks is that the quantum entanglement has been prior shared among participants. Actually, the distribution of entanglement becomes complex in the network environment. We present a theoretical quantum network model with good scalability. Then, three efficient and perfect schemes for the entanglement channel construction are proposed. Some general results for d-level system are also given. Any two communication sites can construct an entanglement channel via Bell states with the assistance of the intermediate sites on their quantum chain. By using the established entanglement channel, n sites can efficiently and perfectly construct an entanglement channel via an n-qudit cat state. More importantly, an entanglement channel via an arbitrary n-qudit state can also be constructed among any n sites, or even among any t sites where 1 ≤ t ≤ n. The constructed multiparticle entanglement channels have many useful applications in quantum network environment.

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