Quantum network code for multiple-unicast network with quantum invertible linear operations

Song，Seunghoan1; Hayashi，Masahito1,2,3

10.4230/LIPIcs.TQC.2018.10

2018-07-01

1868-8969

Leibniz International Proceedings in Informatics, LIPIcs

111

10:1-10:20

Sydney, NSW, Australia

Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing

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.

And phrases Quantum network code Multiple-unicast quantum network Quantum invertible linear operation

其他

英语

EI

[17H01280]

20183205662638

Codes (symbols) ; Computation theory ; Quantum communication ; Quantum computers ; Quantum cryptography ; Quantum optics

Telecommunication; Radar, Radio and Television:716 ; Information Theory and Signal Processing:716.1 ; Computer Theory, Includes Formal Logic, Automata Theory, Switching Theory, Programming Theory:721.1 ; Computer Systems and Equipment:722 ; Data Processing and Image Processing:723.2 ; Light/Optics:741.1

2-s2.0-85052022442

Scopus

1.Graduate School of Mathematics, Nagoya University, ,Nagoya,Japan
2.Centre for Quantum Technologies, National University of Singapore, ,Singapore,Singapore
3.Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, ,Shenzhen,China

Song，Seunghoan,Hayashi，Masahito. Quantum network code for multiple-unicast network with quantum invertible linear operations[C]:Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing,2018:10:1-10:20.