86 citations · 730 across the 48 of their papers we have counts for
8 papers · 1 filter
A Loomis-Sikorski theorem and functional calculus for a generalized Hermitian algebra
David J. Foulis, Anna Jencova, Sylvia Pulmannova
A generalized Hermitian (GH-) algebra is a generalization of the partially ordered Jordan algebra of all Hermitian operators on a Hilbert space. We introduce the notion of a gh-tri…
Rényi relative entropies and noncommutative -spaces
Anna Jencova
We propose an extension of the sandwiched Rényi relative -entropy to normal positive functionals on arbitrary von Neumann algebras, for the values . For this, we use Kosaki…
States and synaptic algebras
David J. Foulis, Anna Jencova, Sylvia Pulmannova
Different versions of the notion of a state have been formulated for various so-called quantum structures. In this paper, we investigate the interplay among states on synaptic alge…
Vector lattices in synaptic algebras
David J. Foulis, Anna Jencova, Sylvia Pulmannova
A synaptic algebra is a generalization of the self-adjoint part of a von Neumann algebra. We study a linear subspace of in regard to the question of when is a vecto…
Every synaptic algebra has the monotone square root property
David J. Foulis, Anna Jencova, Sylvia Pulmannova
A synaptic algebra is a common generalization of several ordered algebraic structures based on algebras of self-adjoint operators, including the self-adjoint part of an AW*-algebra…
Preservation of a quantum Renyi relative entropy implies existence of a recovery map
Anna Jencova
It is known that a necessary and sufficient condition for equality in the data processing inequality (DPI) for the quantum relative entropy is the existence of a recovery map. We s…