Optimal multiple quantum statistical hypothesis testing

DOI10.1080/17442507508833114zbMath0353.62025OpenAlexW1995989441MaRDI QIDQ4124118

Vyacheslav P. Belavkin

Publication date: 1975

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442507508833114

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10)

Related Items (13)

Second-order coding rates for pure-loss bosonic channels ⋮ A novel coherence-based quantum steganalysis protocol ⋮ An asymptotic error bound for testing multiple quantum hypotheses ⋮ A time-dependent Tsirelson's bound from limits on the rate of information gain in quantum systems ⋮ Asymptotic performance of port-based teleportation ⋮ Measurement, filtering and control in quantum open dynamical systems. ⋮ Weighted quantum measurements ⋮ The geometry of quantum learning ⋮ Local asymptotic normality for finite dimensional quantum systems ⋮ Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo–Curlander bounds ⋮ Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on maximum overlap using directional iterates ⋮ Optimality of the pretty good measurement for port-based teleportation ⋮ Estimating coherence with respect to general quantum measurements

Cites Work

• Reliability of quantum-mechanical communication systems
• The quantum generalization of optimal statistical estimation and hypothesis testing
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