10 citations · 16 across the 5 of their papers we have counts for
5 papers
Bures Geometry on C*-algebraic State Spaces
Peter M. Alberti
The inner geometry induced by the Bures distance function on the state space of a unital C*-algebra, or on parts of it, is considered in detail. As a key result the local dilation…
On Bures-Distance and *-Algebraic Transition Probability between Inner Derived Positive Linear Forms over W*-Algebra
Peter M. Alberti, Armin Uhlmann
On a W*-algebra M, for given two positive linear forms f,g and algebra elements a,b a variational expression for the Bures-distance d_B(f^a,g^b) between the inner derived positive…
Playing with Fidelities
Peter M. Alberti
The notion of partial fidelities as invented recently by A.Uhlmann for pairs of finite dimensional density matrices will be extended to the vN-algebraic context and is considered a…
On Bures distance over standard form vN-algebras
Peter. M. Alberti, Gregor Peltri
In case of a standard form vN-algebra, the Bures distance is the natural distance between the fibres of implementing vectors at normal positive linear forms. Thereby, it is well-kn…
Connes' trace formula and Dirac realization of Maxwell and Yang-Mills action
P. M. Alberti, R. Matthes
The paper covers known facts about the Dixmier trace (with some generalities about traces), the Wodzicki residue, and Connes' trace theorem, including two variants of proof of the…