No complex d by n equiangular tight frame exists for d^2 - d +1 < n < d^2.
Tables of the existence of equiangular tight frames
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
A Grassmannian frame is a collection of unit vectors which are optimally incoherent. To date, the vast majority of explicit Grassmannian frames are equiangular tight frames (ETFs). This paper surveys every known construction of ETFs and tabulates existence for sufficiently small dimensions.
representative citing papers
Optimal QLDP mechanisms achieve the same asymptotic Q/C ratio as classical LDP for Holevo information and hypothesis-testing error exponents, with Q/C >= 3/2 when protecting n-ary data for n >= 3.
A table of putatively optimal packings of points in complex projective space has been generated via numerical search, extending the real-projective table maintained by Sloane and including several new configurations.
Entangled states of local dimension d enable strictly higher probability of agreeing on a common frequency band than the optimal classical strategy for sufficiently large safe bands d and spectrum size n, with an explicit 5.4% asymptotic advantage for d=2 using one Bell pair.
A general method constructs t-designs from weighing matrices and association schemes, yielding 3-designs from conference matrices plus infinite families of PBIBDs with block size 4 and regular PBDs with blocks of size 3 or 4.
citing papers explorer
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Game of Sloanes: Best known packings in complex projective space
A table of putatively optimal packings of points in complex projective space has been generated via numerical search, extending the real-projective table maintained by Sloane and including several new configurations.