• DocumentCode
    1952785
  • Title

    Schmidt Operator Norms and Entanglement Theory

  • Author

    Johnston, Nathaniel ; Kribs, David W.

  • Author_Institution
    Dept. of Math. & Stat., Univ. of Guelph, Guelph, ON, Canada
  • fYear
    2010
  • fDate
    10-16 Feb. 2010
  • Firstpage
    92
  • Lastpage
    95
  • Abstract
    We discuss the family of operator norms recently investigated in and some of their implications in quantum information. We referred to these norms as Schmidt norms since they derive from the Schmidt decomposition theorem for quantum states.These norms find applications to central problems in quantum information, including the problem of determining k-positivity of linear maps and entanglement witnesses, and finding bound entangled non-positive partial transpose states.
  • Keywords
    quantum entanglement; Schmidt decomposition theorem; Schmidt operator norms; entangled nonpositive partial transpose states; entanglement theory; k-positivity; linear maps; quantum information; quantum states; Mathematics; Probability distribution; Quantum computing; Quantum entanglement; Quantum mechanics; Statistics; Tin;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Quantum, Nano and Micro Technologies, 2010. ICQNM '10. Fourth International Conference on
  • Conference_Location
    St. Maarten
  • Print_ISBN
    978-1-4244-5807-3
  • Type

    conf

  • DOI
    10.1109/ICQNM.2010.24
  • Filename
    5437775
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1952785