• DocumentCode
    2294635
  • Title

    A family of norms with applications in entanglement theory

  • Author

    Johnston, Nigel ; Kribs, D.W.

  • Author_Institution
    Dept. of Math. & Stat., Univ. of Guelph, Guelph, ON, Canada
  • fYear
    2011
  • fDate
    18-20 May 2011
  • Firstpage
    1
  • Lastpage
    2
  • Abstract
    We consider a family of operator norms defined by the Schmidt decomposition theorem for quantum states. We use these norms to tackle two fundamental problems in quantum information theory: the classification problem for k-positive linear maps and entanglement witnesses, and the existence problem for nonpositive partial transpose bound entangled states.
  • Keywords
    quantum computing; quantum entanglement; quantum optics; Schmidt decomposition; entanglement theory; k-positive linear maps; nonpositive partial transpose bound entangled states; operator norms; quantum information theory; quantum states; Eigenvalues and eigenfunctions; Information theory; Quantum entanglement; Roads; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Photonics (IP), 2011 ICO International Conference on
  • Conference_Location
    Ottawa, ON
  • Print_ISBN
    978-1-61284-315-5
  • Type

    conf

  • DOI
    10.1109/ICO-IP.2011.5953727
  • Filename
    5953727
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2294635