Todorov, Ivan G.

Thumbnail Image
Preferred name
Todorov, Ivan G.
Official Name
Todorov, Ivan G.

Research Output

Filters

2
2
Reset filters

Settings

Now showing 1 - 2 of 2
  • Publication
    Schur idempotents and hyperreflexivity
    (Springer, 2016-09)
    Eleftherakis, G. K. 
    ;
    Levene, Rupert H. 
    ;
    Todorov, Ivan G. 
    We show that the set of Schur idempotents with hyperreflexive range is a Boolean lattice which contains all contractions. We establish a preservation result for sums which implies that the weak* closed span of a hyperreflexive and a ternary masa-bimodule is hyperreflexive, and prove that the weak* closed span of finitely many tensor products of a hyperreflexive space and a hyperreflexive range of a Schur idempotent (respectively, a ternary masa-bimodule) is hyperreflexive. 
      307Scopus© Citations 1
  • Publication
    Private algebras in quantum information and infinite-dimensional complementarity
    (AIP, 2015-11)
    Crann, Jason 
    ;
    Kribs, David W. 
    ;
    Levene, Rupert H. 
    ;
    Todorov, Ivan G. 
    We introduce a generalized framework for private quantum codes using von Neumann algebras and the structure of commutants. This leads naturally to a more general notion of complementary channel, which we use to establish a generalized complementarity theorem between private and correctable subalgebras that applies to both the finite and infinite-dimensional settings. Linear bosonic channels are considered and specific examples of Gaussian quantum channels are given to illustrate the new framework together with the complementarity theorem.
      328Scopus© Citations 11