Asymptotic Separation between Adaptive and Non-adaptive Strategies in Quantum Channel Discrimination

Salek，Farzin1; Hayashi，Masahito2; Winter，Andreas3

10.1109/ISIT45174.2021.9517941

2021-07-12

2157-8095

978-1-5386-8210-4

IEEE International Symposium on Information Theory - Proceedings

2021-July

1194-1199

12-20 July 2021

Melbourne, Australia

We present a broad investigation of asymptotic binary hypothesis testing, when each hypothesis represents asymptotically many independent instances of a quantum channel, and the tests are based on using the unknown channel multiple times and observing its output at the end. Unlike the familiar setting of quantum states as hypotheses, there is a fundamental distinction between adaptive and non-adaptive strategies with respect to the channel uses, and we introduce a number of further variants of the discrimination tasks by imposing different restrictions on the test strategies. Our main result is the first separation between adaptive and non-adaptive symmetric hypothesis testing exponents for quantum channels, which we derive from a general lower bound on the error probability for non-adaptive strategies; the concrete example we analyze is a pair of entanglement-breaking channels. Full details in [1].

Upper bound Error probability Error analysis Quantum channel Qubit Quantum state Adaptive equalizers

其他

英语

CPCI-S ; EI

WOS:000701502201048

20213810916098

Quantum channel ; Quantum communication ; Quantum entanglement

Telecommunication; Radar, Radio and Television:716 ; Information Theory and Signal Processing:716.1 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85115113866

Scopus

1.Technical University of Munich,Department of Mathematics,Garching,80333,Germany
2.Southern University of Science and Technology,Shenzhen Institute for Quantum Science and Engineering,Shenzhen Key Laboratory of Quantum Science and Engineering,Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Shenzhen,518055,China
3.Universitat Autònoma de Barcelona,Icrea Grup d'Lnformació Quàntica,Department de Física,Barcelona,08193,Spain

Salek，Farzin,Hayashi，Masahito,Winter，Andreas. Asymptotic Separation between Adaptive and Non-adaptive Strategies in Quantum Channel Discrimination[C],2021:1194-1199.