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Artículo
Compact set of invariants characterizing graph states of up to eight qubits
(American Physical Society, 2009)
The set of entanglement measures proposed by Hein, Eisert, and Briegel for n-qubit graph states [Phys. Rev. A 69, 062311 (2004)] fails to distinguish between inequivalent classes under local Clifford operations if n≥7. On ...
Artículo
A Hopf theorem for open surfaces in product spaces
(De Gruyter, 2009)
Hopf’s theorem has been recently extended to compact genus zero surfaces with constant mean curvature H in a product space Mk 2 ×R, whereMk 2 is a surface with constant Gaussian curvature k = 0 [AbRo]. It also has ...
Artículo
Entanglement in eight-qubit graph states
(Elsevier, 2009)
Any 8-qubit graph state belongs to one of the 101 equivalence classes under local unitary operations within the Clifford group. For each of these classes we obtain a representative which requires the minimum number of ...
Artículo
Algebra structure for Lp of a vector measure
(Elsevier, 2009)
In this paper, we present new results about the space Lp (ν) for ν being a vector measure defined in the Borel σ -algebra of a compact abelian group G and satisfying certain property concerning translation of simple ...
Artículo
Homomorphisms and polynomial invariants of graphs
(Elsevier, 2009)
This paper initiates a general study of the connection between graph homomorphisms and the Tutte polynomial. This connection can be extended to other polynomial invariants of graphs related to the Tutte polynomial such ...
Artículo
Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space
(American Mathematical Society, 2009)
We classify the entire minimal vertical graphs in the Heisenberg group Nil3 endowed with a Riemannian left-invariant metric. This classi cation, which provides a solution to the Bernstein problem in Nil3, is given in terms ...
Artículo
Vector measures: where are their integrals?
(Springer, 2009)
Let ν be a vector measure with values in a Banach space Z. The integration map Iν:L1(ν)→Z, given by f↦∫fdν for f ∈ L 1(ν), always has a formal extension to its bidual operator I∗∗ν:L1(ν)∗∗→Z∗∗. So, we may consider the ...