Comparison of quantum statistical models: Equivalent conditions for sufficiency

DOI10.1007/s00220-012-1421-3zbMath1243.81031arXiv1004.3794OpenAlexW2073098500MaRDI QIDQ411358

Francesco Buscemi

Publication date: 4 April 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3794

zbMATH Keywords

statistical modelsquantum statistical models

Mathematics Subject Classification ID

Decision theory (91B06) Quantum measurement theory, state operations, state preparations (81P15) Quantum state spaces, operational and probabilistic concepts (81P16) General considerations in statistical decision theory (62C05)

Related Items (13)

Degradable channels, less noisy channels, and quantum statistical morphisms: an equivalence relation ⋮ Game-theoretic characterization of antidegradable channels ⋮ Representable Markov categories and comparison of statistical experiments in categorical probability ⋮ Comparison of quantum binary experiments ⋮ Preservation of a quantum Rényi relative entropy implies existence of a recovery map ⋮ Le cam theory on the comparison of statistical models ⋮ Comparison of channels in operator algebras ⋮ Device-independent tests of quantum channels ⋮ Quantum XOR Games ⋮ Quantum majorization on semi-finite von Neumann algebras ⋮ Extending quantum operations ⋮ General state transitions with exact resource morphisms: a unified resource-theoretic approach ⋮ Quantum Blackwell–Sherman–Stein Theorem and Related Results

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• Equivalent Comparisons of Experiments

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