Application of the Resource Theory of Channels to Communication Scenarios

Takagi, Ryuji1,2; Wang, Kun3,4; Hayashi, Masahito3,4,5,6

2020-03-25

10.1103/PhysRevLett.124.120502

PHYSICAL REVIEW LETTERS   影响因子和分区

0031-9007

1079-7114

We introduce a resource theory of channels relevant to communication via quantum channels, in which the set of constant channels-useless channels for communication tasks-are considered as free resources. We find that our theory with such a simple structure is useful to address central problems in quantum Shannon theory-in particular, we provide a converse bound for the one-shot nonsignaling assisted classical capacity that naturally leads to its strong converse property, as well as obtain the one-shot channel simulation cost with nonsignaling assistance. We clarify an intimate connection between the nonsignaling assistance and our formalism by identifying the nonsignaling assisted channel coding with the channel transformation under the maximal set of resource nongenerating superchannels, providing a physical characterization of the latter. Our results provide new perspectives and concise arguments to those problems, connecting the recently developed fields of resource theories to "classic" settings in quantum information theory and shedding light on the validity of resource theories of channels as effective tools to address practical problems.

SCI ; EI

英语

通讯

JSPS[17H01280] ; JSPS[16KT0017]

Physics

Physics, Multidisciplinary

WOS:000522192200001

AMER PHYSICAL SOC

20201708513591

Channel coding ; Quantum entanglement

Information Theory and Signal Processing:716.1 ; Data Communication, Equipment and Techniques:722.3 ; Light/Optics:741.1 ; Quantum Theory; Quantum Mechanics:931.4

PHYSICS

Web of Science

1.MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
2.MIT, Dept Phys, Cambridge, MA 02139 USA
3.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
4.Peng Cheng Lab, Ctr Quantum Comp, Shenzhen 518000, Peoples R China
5.Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan
6.Natl Univ Singapore, Ctr Quantum Technol, 3 Sci Dr 2, Singapore 117542, Singapore

Takagi, Ryuji,Wang, Kun,Hayashi, Masahito. Application of the Resource Theory of Channels to Communication Scenarios[J]. PHYSICAL REVIEW LETTERS,2020,124(12).

Takagi, Ryuji,Wang, Kun,&Hayashi, Masahito.(2020).Application of the Resource Theory of Channels to Communication Scenarios.PHYSICAL REVIEW LETTERS,124(12).

Takagi, Ryuji,et al."Application of the Resource Theory of Channels to Communication Scenarios".PHYSICAL REVIEW LETTERS 124.12(2020).