2026-08-17T05:17:52Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:9257 2024-03-06T10:43:48Z ddc:004 open_access

Quantum Network Code for Multiple-Unicast Network with Quantum Invertible Linear Operations Song, Seunghoan Hayashi, Masahito Quantum network code Multiple-unicast quantum network Quantum invertible linear operation 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Seunghoan Song and Masahito Hayashi 2018 Is Part Of LIPIcs, Volume 111, 13th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2018) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.TQC.2018.10 urn:nbn:de:0030-drops-92572 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2018.10 eng https://creativecommons.org/licenses/by/3.0/legalcode