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Bergen Open Research Archive

Browsing by Author "Danielsen, Lars Eirik"

Bergen Open Research Archive

Browsing by Author "Danielsen, Lars Eirik"

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  • Danielsen, Lars Eirik; Parker, Matthew G. (Peer reviewed; Journal article, Springer, 2010)
    We show that (n, 2n) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to undirected graphs. Graph representation ...
  • Danielsen, Lars Eirik (Doctoral thesis, The University of Bergen, 2008-05-28)
    We study objects that can be represented as graphs, error-correcting codes, quantum states, or Boolean functions. It is known that self-dual additive codes, which can also be interpreted as quantum states, can be ...
  • Danielsen, Lars Eirik (Master thesis, The University of Bergen, 2005)
    A short introduction to quantum error correction is given, and it is shown that zero-dimensional quantum codes can be represented as self-dual additive codes over GF(4) and also as graphs. We show that graphs representing ...
  • Danielsen, Lars Eirik (Peer reviewed; Journal article, Institute of Electrical and Electronics Engineers, 2012-08)
    Additive codes over GF(9) that are self-dual with respect to the Hermitian trace inner product have a natural application in quantum information theory, where they correspond to ternary quantum error-correcting codes. ...
  • Cabello, Adán; Danielsen, Lars Eirik; López-Tarrida, Antonio J.; Portillo, José R. (Peer reviewed; Journal article, American Physical Society, 2011-04-12)
    We show how to prepare any graph state of up to 12 qubits with: (a) the minimum number of controlled-Z gates, and (b) the minimum preparation depth. We assume only one-qubit and controlled-Z gates. The method exploits ...
  • Cabello, Adán; Danielsen, Lars Eirik; López-Tarrida, Antonio J.; Portillo, José R. (Peer reviewed; Journal article, Institute of Physics, 2012-06-27)
    We introduce a physical approach to social networks (SNs) in which each actor is characterized by a yes–no test on a physical system. This allows us to consider SNs beyond those originated by interactions based on pre-existing ...

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