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Technical Program

Paper Detail

Paper IDD3-S3-T4.3
Paper Title Asymptotic Separation Between Adaptive and Non-adaptive Strategies in Quantum Channel Discrimination
Authors Farzin Salek, Technical University of Munich, Germany; Masahito Hayashi, Southern University of Science and Technology, China; Andreas Winter, Universitat Autònoma de Barcelona, Spain
Session D3-S3-T4: Quantum Detection & Estimation
Chaired Session: Wednesday, 14 July, 22:40 - 23:00
Engagement Session: Wednesday, 14 July, 23:00 - 23:20
Abstract 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 entanglementbreaking channels. Full details in [1].