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Generalized no-broadcasting theorem.

- H. Barnum, J. Barrett, M. Leifer, Alexander 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

Entropy and information causality in general probabilistic theories

- H. Barnum, J. Barrett, +5 authors Robin Wilke
- Physics, Mathematics
- 28 September 2009

We investigate the concept of entropy in probabilistic theories more general than quantum mechanics, with particular reference to the notion of information causality (IC) recently proposed by… Expand

Teleportation in General Probabilistic Theories

- H. Barnum, J. Barrett, M. Leifer, Alexander 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

- Alexander 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

Information Processing in Convex Operational Theories

- H. Barnum, Alexander Wilce
- Mathematics, Computer Science
- Electron. Notes Theor. Comput. Sci.
- 17 August 2009

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Current Research in Operational Quantum Logic

- B. Coecke, D. Moore, Alexander Wilce
- Computer Science
- 2000

Compact Orthoalgebras

- Alexander 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

- David Feldman, Alexander 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

Cloning and Broadcasting in Generic Probabilistic Theories

- H. Barnum, J. Barrett, M. Leifer, Alexander 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

Ensemble Steering, Weak Self-Duality, and the Structure of Probabilistic Theories

- H. Barnum, C. Gaebler, Alexander 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

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