Abstract
Quantum communication between nodes in quantum networks plays an important role in quantum information processing. Here, we proposed the use of the expected number of quantum channels as a measure of the efficiency of quantum communication for quantum networks. This measure quantified the amount of quantum information that can be teleported between nodes in a quantum network, which differs from classical case in that the quantum channels will be consumed if teleportation is performed. We further demonstrated that the expected number of quantum channels represents local correlations depicted by effective circles. Significantly, capacity of quantum communication of quantum networks quantified by ENQC is independent of distance for the communicating nodes, if the effective circles of communication nodes are not overlapped. The expected number of quantum channels can be enhanced through transformations of the lattice configurations of quantum networks via entanglement swapping. Our results can shed lights on the study of quantum communication in quantum networks.
Highlights
Quantum communication between nodes in quantum networks plays an important role in quantum information processing
We further demonstrated that the expected number of quantum channels represents local correlations depicted by effective circles
We studied the properties of the expected number of quantum channels (ENQC) with respect of network structure and defined effective radius to quantify the local correlation, i.e., the influence of a node on others
Summary
Xi Chen[1], He-Ming Wang[1], Dan-Tong Ji2, Liang-Zhu Mu1 & Heng Fan[3,4] received: 13 March 2015 accepted: 12 June 2015 Published: 15 July 2015. A further consideration is whether the change in lattice configuration induced by entanglement swapping can increase the capacity for quantum communication In this consideration the number of quantum channels can be a quantified indicator as well. First, for regular quantum networks, we define ENQC as the expected number of maximally entangled pairs that can be formed between certain sender and receiver in an established quantum network, normalized by the node degree, i.e., the number of bonds connecting each node. It quantifies the number of qubits which can be teleported from the sender to the receiver. We presented discussions for other regular networks and arbitrary random networks in the Supplementary Information and ENQC is expected to be a universal quantity that can be applicable to quantum networks with various configurations
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