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A generalized no-broadcasting theorem

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arxiv 0707.0620 v1 pith:CSG32OMG submitted 2007-07-04 quant-ph

Howard Barnum , Jonathan Barrett , Matthew Leifer , Alexander Wilce This is my paper · ORCID
classification quant-ph
keywords no-broadcastingtheoremgeneralizedversionapplicablecorrelationscriterionemph
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We prove a generalized version of the no-broadcasting theorem, applicable to essentially \emph{any} nonclassical finite-dimensional probabilistic model satisfying a no-signaling criterion, including ones with ``super-quantum'' correlations. A strengthened version of the quantum no-broadcasting theorem follows, and its proof is significantly simpler than existing proofs of the no-broadcasting theorem.

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  1. A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics

    math.ST 2019-08 conditional novelty 7.0 of 10

    Markov categories provide a synthetic, axiom-based framework in which conditional independence, sufficiency, completeness, and classical theorems such as Basu and Bahadur hold uniformly across many probability theories.

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