204 citations · 383 across the 10 of their papers we have counts for
10 papers
Instability, Isolation, and the Tridecompositional Uniqueness Theorem
Matthew J. Donald
The tridecompositional uniqueness theorem of Elby and Bub (1994) shows that a wavefunction in a triple tensor product Hilbert space has at most one decomposition into a sum of prod…
On the Work of Henry P. Stapp
Matthew J. Donald
For many years, Henry Stapp and I have been working separately and independently on mind-centered interpretations of quantum theory. In this review, I discuss his work and contrast…
Finitary and Infinitary Mathematics, the Possibility of Possibilities and the Definition of Probabilities
Matthew J. Donald
Some relations between physics and finitary and infinitary mathematics are explored in the context of a many-minds interpretation of quantum theory. The analogy between mathematica…
Neural Unpredictability, the Interpretation of Quantum Theory, and the Mind-Body Problem
Matthew J. Donald
It has been suggested, on the one hand, that quantum states are just states of knowledge; and, on the other, that quantum theory is merely a theory of correlations. These suggestio…
A uniqueness theorem for entanglement measures
Oliver Rudolph
We obtain a mathematically simple characterization of all functionals coinciding with the von Neumann reduced entropy on pure states based on the Khinchin-Faddeev axiomatization of…
The Uniqueness Theorem for Entanglement Measures
Matthew J. Donald, Michal Horodecki, Oliver Rudolph
We explore and develop the mathematics of the theory of entanglement measures. After a careful review and analysis of definitions, of preliminary results, and of connections betwee…