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Perfect state transfer, integral circulants and join of graphs
(2009-09-04)
We propose new families of graphs which exhibit quantum perfect state transfer. Our constructions are based on the join operator on graphs, its circulant generalizations, and
the Cartesian product of graphs. We build upon ...
On quantum perfect state transfer in weighted join graphs
(2009-09-02)
We study perfect state transfer on quantum networks represented by weighted graphs. Our focus is on graphs constructed from the join and related graph operators
Eigenvalues, K-theory and Minimal Flows
(2007)
Let (Y, T) be a minimal suspension flow built over a dynamical system (X, S) and with (strictly positive, continuous) ceiling function f : X ! R. We show that the eigenvalues of (Y, T) are contained in the range of a trace ...
CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS
(2009)
Let (N, R, ) be a centrally ergodic W* dynamical system. When N is not a factor, we show that, for each t 6= 0, the crossed product induced by the time t automorphism t is not a factor if and only if there exist a rational ...
THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI
(2006)
We find the range of a trace on the K0 group of a crossed product by a time-t automorphism of a mapping torus. We also find a formula to compute the Voiculescu-Brown entropy for such an automorphism. By specializing to the ...
TEACHERS' CONSTRUCTION OF DYNAMIC MATHEMATICAL MODELS BASED ON THE USE OF COMPUTATIONAL TOOLS
(2009)
To what extent does the use of computational tools offer teachers the possibility of constructing dynamic models to identify and explore diverse mathematical relations? What ways of reasoning or thinking about the problems ...