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- Publications
- Influence
Generalized no-broadcasting theorem.
- H. Barnum, J. Barrett, Matthew Leifer, A. Wilce
- Physics, Medicine
- Physical review letters
- 4 July 2007
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 ones… Expand
Teleportation in General Probabilistic Theories
- H. Barnum, J. Barrett, M. Leifer, A. Wilce
- Mathematics, Physics
- 23 May 2008
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-classical… Expand
Perspectivity and congruence in partial abelian semigroups
- A. Wilce
- Mathematics
- 1998
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 and… Expand
- 29
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Information Processing in Convex Operational Theories
TLDR
Cloning and Broadcasting in Generic Probabilistic Theories
- H. Barnum, J. Barrett, M. Leifer, A. Wilce
- Physics, Mathematics
- 30 November 2006
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-signaling… Expand
Compact Orthoalgebras
- A. Wilce
- Physics
- 28 May 2004
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 Hilbert… Expand
Degenerate fibres in the Stone-Cech compactification of the universal bundle of a finite group
- D. Feldman, A. Wilce, A. Wilce
- Mathematics
- 23 April 2002
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, we… Expand
Ensemble Steering, Weak Self-Duality, and the Structure of Probabilistic Theories
- H. Barnum, C. Gaebler, A. Wilce
- Mathematics, Physics
- 30 December 2009
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, there… Expand
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 and… Expand