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Generalized no-broadcasting theorem.
We prove a generalized version of the no-broadcasting theorem, applicable to essentially any nonclassical finite-dimensional probabilistic model satisfying a no-signaling criterion, including onesExpand
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Teleportation in General Probabilistic Theories
In a previous paper, we showed that many important quantum information-theoretic phenomena, including the no-cloning and no-broadcasting theorems, are in fact generic in all non-classicalExpand
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Perspectivity and congruence in partial abelian semigroups
To any subset M of a partial abelian semigroup L, we associate a relation of perspectivity ~M, where a ~ M b if and only if there exists some element c G L such that a® c and c® b both exist andExpand
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Information Processing in Convex Operational Theories
  • H. Barnum, A. Wilce
  • Computer Science, Mathematics
  • Electron. Notes Theor. Comput. Sci.
  • 17 August 2009
TLDR
In order to understand the source and extent of the greater-than-classical information processing power of quantum systems, one wants to characterize both classical and quantum mechanics as points in a broader space of possible theories. Expand
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Cloning and Broadcasting in Generic Probabilistic Theories
We prove generic versions of the no-cloning and no-broadcasting theorems, applicable to essentially {\em any} non-classical finite-dimensional probabilistic model that satisfies a no-signalingExpand
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Compact Orthoalgebras
We initiate a study of topological orthoalgebras (TOAs), concentrating on the compact case. Examples of TOAs include topological orthomodular lattices, and also the projection lattice of a HilbertExpand
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Degenerate fibres in the Stone-Cech compactification of the universal bundle of a finite group
Applied to a continuous surjection π: E → B of completely regular Hausdorff spaces E and B, the Stone-Cech compactification functor β yields a surjection βπ: βE → βB. For an n-fold covering map π, weExpand
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Ensemble Steering, Weak Self-Duality, and the Structure of Probabilistic Theories
In any probabilistic theory, we say that a bipartite state ω on a composite system ABsteers its marginal state ωB if, for any decomposition of ωB as a mixture ωB=∑ipiβi of states βi on B, thereExpand
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Post-Classical Probability Theory
This chapter offers a brief introduction to what is often called the convex-operational approach to the foundations of quantum mechanics, and reviews selected results, mostly by ourselves andExpand
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