REVIEW 1 cited by
Tight frames over the quaternions and equiangular lines
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We show that much of the theory of finite tight frames can be generalised to vector spaces over the quaternions. This includes the variational characterisation, group frames, and the characterisations of projective and unitary equivalence. We are particularly interested in sets of equiangular lines (equi-isoclinic subspaces) and the groups associated with them, and how to move them between the spaces $\Rd$, $\Cd$ and $\Hd$. We discuss what the analogue of Zauner's conjecture for equiangular lines in $\Hd$ might be.
Forward citations
Cited by 1 Pith paper
-
On the Structure of Frames and Equiangular Lines over Finite Fields and their Connections to Design Theory
In large-characteristic finite fields, equiangular lines form tight frames exactly when they meet the Welch bound and their triple-product sums match a fixed value.
Discussion (0). Continue with ORCID to comment.