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.
All complex equiangular tight frames in dimension 3
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abstract
In this paper we describe some new algebraic features of the Gram matrices of complex Equiangular Tight Frames (ETF). This lead on the one hand to the nonexistence of several low dimensional complex ETFs; and on the other hand to the full algebraic classification of all complex ETFs in C^3. We use computer aided methods, in particular, Groebner basis computations to obtain these results.
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math.MG 1years
2019 1verdicts
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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.