36 citations · 54 across the 14 of their papers we have counts for
6 papers · 1 filter
Uncertainty of Quantum States
Stan Gudder
The uncertainty of a quantum state is given by the composition of two components. The first is called the quantum component and is given by the probability distribution of an obser…
Finite Classical and Quantum Effect Algebras
Stan Gudder
In this article, we only consider finite effect algebras. We define the concepts of classical and quantum effect algebras and show that an effect algebra is classical if and on…
Finite (quantum) effect algebras
Stan Gudder, Teiko Heinosaari
We investigate finite effect algebras and their classification. We show that an effect algebra with elements has at least and at most nontrivial defined su…
Quantum Transition Probabilities
Stan Gudder
Transition probabilities are an important and useful tool in quantum mechanics. However, in their present form, they are limited in scope and only apply to pure quantum states. In…
Interval Effect Algebras and Holevo Instruments
Stan Gudder
This article begins with a study of convex effect-state spaces. We point out that such spaces are equivalent to interval effect algebras that generate an ordered linear space and p…
Quantum Channel Conditioning and Measurement Models
Stan Gudder
If and are finite-dimensional Hilbert spaces, a channel from to is a completely positive, linear map that takes the set of states $\mathcal{S}…