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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

197 6- PDF

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

71 3- PDF

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 3

Information Processing in Convex Operational Theories

TLDR

123 2- PDF

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

67 2- PDF

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

9 2- PDF

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

3 2- PDF

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

50 1- PDF

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

31 1- PDF