36 citations · 43 across the 3 of their papers we have counts for
14 papers · 1 filter
De-linearizing Linearity: Projective Quantum Axiomatics from Strong Compact Closure
Bob Coecke
Elaborating on our joint work with Abramsky in quant-ph/0402130 we further unravel the linear structure of Hilbert spaces into several constituents. Some prove to be very crucial f…
The logic of entanglement
Bob Coecke
We expose the information flow capabilities of pure bipartite entanglement as a theorem -- which embodies the exact statement on the `seemingly acausal flow of information' in prot…
Partiality in physics
Bob Coecke, Keye Martin
We revisit the standard axioms of domain theory with emphasis on their relation to the concept of partiality, explain how this idea arises naturally in probability theory and quant…
The Sasaki Hook is not a [Static] Implicative Connective but Induces a Backward [in Time] Dynamic One that Assigns Causes
Bob Coecke, Sonja Smets
In this paper we argue that the Sasaki adjunction, which formally encodes the logicality that different authors tried to attach to the Sasaki hook as a `quantum implicative connect…
A mechanistic macroscopic physical entity with a three-dimensional Hilbert space description
Diederik Aerts, Bob Coecke, Bart D'Hooghe +1
It is sometimes stated that Gleason's theorem prevents the construction of hidden-variable models for quantum entities described in a more than two-dimensional Hilbert space. In th…
A (Classical) Representation for a Spin-S Entity as a compound system in R^3 consisting of 2S Individual Spin-1/2 Entities
Bob Coecke
We generalize the results of [B. Coecke, Helv. Phys. Acta 68, 396 (1995)] for the representation of coherent states of a spin-1 entity to spin-S entities with S>1 and to non-cohere…