Asymptotic separation between adaptive and non-adaptive strategies in quantum channel discrimination
Salek, Farzin (Technical University of Munich. Zentrum Mathematik)
Hayashi, Masahito (Shenzhen Institute for Quantum Science and Engineering)
Winter, Andreas (Universitat Autònoma de Barcelona. Departament de Física)

Fecha:	2021
Resumen:	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.
Ayudas:	Agencia Estatal de Investigación PID2019-107609GB-I00 Ministerio de Economía y Competitividad FIS2016-86681-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-112
Nota:	Altres ajuts: supported by the Catalan Government 001-P-001644 QuantumCAT within the ERDF Program of Catalunya.
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Lengua:	Anglès
Documento:	Comunicació de congrés ; recerca ; Versió acceptada per publicar
Materia:	Upper bound ; Error probability ; Error analysis ; Quantum channel ; Qubit ; Quantum state ; Adaptive equalizers
Publicado en:	IEEE International Symposium on Information Theory. Melbourne, Australia, 12-20 July 2021, p. 1194-1199

DOI: 10.1109/ISIT45174.2021.9517941

Postprint 7 p, 576.6 KB

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