Quantum state transmission over partially corrupted quantum information network

Hayashi，Masahito1,2,3,4; Song，Seunghoan4

2020-07-15

10.1103/PhysRevResearch.2.033079

Physical Review Research   影响因子和分区

2643-1564

Quantum communication over network is particularly appealing in a similar way to classical network communication, but a partially corrupted quantum network has not been sufficiently studied. We discuss quantum state transmission over a partially corrupted quantum network, in which the sender transmits m0 qudits, i.e., d-level systems, to the receiver via network, but m1 channels are corrupted. As our result, we show that the optimal transmission rate is at least (m0-2m1+1)logd under the following two settings. In the first case, the unitaries on intermediate nodes are arbitrary and the corruptions on the m1 channels are individual. In the second case, the unitaries on intermediate nodes are restricted to Clifford operations and the corruptions on the m1 channels are adaptive, i.e., they are caused by an attack with a quantum memory. Further, our code in the second case realizes the noiseless communication even with the single-shot setting and is constructed dependently only on the network topology and the places of the m1 corrupted channels.

EI

英语

第一

20204309384877

Network topology ; Transmissions ; Quantum optics ; Quantum communication

Mechanical Transmissions:602.2 ; Electric Networks:703.1 ; Telecommunication; Radar, Radio and Television:716 ; Light/Optics:741.1 ; Information Services:903.4 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85112347664

Scopus

1.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
3.Shenzhen Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
4.Graduate School of Mathematics,Nagoya University,Chikusa-ku,Nagoya,464-8602,Japan

Hayashi，Masahito,Song，Seunghoan. Quantum state transmission over partially corrupted quantum information network[J]. Physical Review Research,2020,2(3).

Hayashi，Masahito,&Song，Seunghoan.(2020).Quantum state transmission over partially corrupted quantum information network.Physical Review Research,2(3).

Hayashi，Masahito,et al."Quantum state transmission over partially corrupted quantum information network".Physical Review Research 2.3(2020).