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Quantum Network Code for Multiple-Unicast Network with Quantum Invertible Linear Operations

Authors Seunghoan Song, Masahito Hayashi

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Seunghoan Song
  • Graduate School of Mathematics, Nagoya University, Nagoya, Japan
Masahito Hayashi
  • Graduate School of Mathematics, Nagoya University, Nagoya, Japan, Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore, Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen, China

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Seunghoan Song and Masahito Hayashi. Quantum Network Code for Multiple-Unicast Network with Quantum Invertible Linear Operations. In 13th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 111, pp. 10:1-10:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.TQC.2018.10

Abstract

This paper considers the communication over a quantum multiple-unicast network where r sender-receiver pairs communicate independent quantum states. We concretely construct a quantum network code for the quantum multiple-unicast network as a generalization of the code [Song and Hayashi, arxiv:1801.03306, 2018] for the quantum unicast network. When the given node operations are restricted to invertible linear operations between bit basis states and the rates of transmissions and interferences are restricted, our code certainly transmits a quantum state for each sender-receiver pair by n-use of the network asymptotically, which guarantees no information leakage to the other users. Our code is implemented only by the coding operation in the senders and receivers and employs no classical communication and no manipulation of the node operations. Several networks that our code can be applied are also given.

Subject Classification

ACM Subject Classification
  • Hardware → Quantum communication and cryptography
Keywords
  • Quantum network code
  • Multiple-unicast quantum network
  • Quantum invertible linear operation

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