Complex equiangular tight frames and erasures. Hoffman, T. R. & Solazzo, J. P. Linear Algebra Appl., 437(2):549--558, 2012.
Complex equiangular tight frames and erasures [link]Paper  doi  abstract   bibtex   
In this paper we demonstrate that there are distinct differences between real and complex equiangular tight frames (ETFs) with regards to erasures. For example, we prove that there exist arbitrarily large non-trivial complex equiangular tight frames which are optimal against three erasures, and that such frames come from a unique class of complex ETFs. In addition, we extend certain results in Bodmann and Paulsen (2005) [2] to complex vector spaces as well as show that other results regarding real ETFs are not valid for complex ETFs.
@article {MR2921716,
    AUTHOR = {Hoffman, Thomas R. and Solazzo, James P.},
     TITLE = {Complex equiangular tight frames and erasures},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {437},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {549--558},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {42C15 (05C50 05C90)},
  MRNUMBER = {2921716},
MRREVIEWER = {Pa{\c{s}}c G{\u{a}}vru{\c{t}}a},
       DOI = {10.1016/j.laa.2012.01.024},
       URL = {http://dx.doi.org.login.library.coastal.edu:2048/10.1016/j.laa.2012.01.024},
ABSTRACT = {In this paper we demonstrate that there are distinct differences between real and complex equiangular tight frames (ETFs) with regards to erasures. For example, we prove that there exist arbitrarily large non-trivial complex equiangular tight frames which are optimal against three erasures, and that such frames come from a unique class of complex ETFs. In addition, we extend certain results in Bodmann and Paulsen (2005) [2] to complex vector spaces as well as show that other results regarding real ETFs are not valid for complex ETFs.}
}

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