Equiangular tight frames from complex Seidel matrices containing cube roots of unity
From MaRDI portal
Publication:958032
DOI10.1016/j.laa.2008.08.002zbMath1165.42007arXiv0805.2014OpenAlexW2059895349MaRDI QIDQ958032
Mark Tomforde, Vern I. Paulsen, Bernhard G. Bodmann
Publication date: 2 December 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.2014
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) General harmonic expansions, frames (42C15) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)
Related Items (35)
Equiangular tight frames that contain regular simplices ⋮ Frames of uniform subframe bounds with applications to erasures ⋮ Hadamard equiangular tight frames ⋮ Equiangular tight frames and signature sets in groups ⋮ Recovery of signals from unordered partial frame coefficients ⋮ Uniform approximation property of frames with applications to erasure recovery ⋮ Toward the classification of biangular harmonic frames ⋮ Equiangular tight frames from group divisible designs ⋮ Welch bound equality sets with few distinct inner products from Delsarte-Goethals sets ⋮ Optimal Parseval frames: total coherence and total volume ⋮ Optimization over finite frame varieties and structured dictionary design ⋮ Complex Hadamard matrices and equiangular tight frames ⋮ Hermitian matrices of roots of unity and their characteristic polynomials ⋮ Complex equiangular tight frames and erasures ⋮ Stable recovery of signals from frame coefficients with erasures at unknown locations ⋮ Linearly connected sequences and spectrally optimal dual frames for erasures ⋮ Finite frame varieties: Nonsingular points, tangent spaces, and explicit local parameterizations ⋮ Unnamed Item ⋮ Low coherence unit norm tight frames ⋮ Equiangular frames and generalizations of the Welch bound to dual pairs of frames ⋮ Steiner equiangular tight frames ⋮ Universal optimal configurations for the \(p\)-frame potentials ⋮ Frames as Codes ⋮ Geometry of the Welch bounds ⋮ Frame multiplication theory and a vector-valued DFT and ambiguity function ⋮ Equiangular tight frames and fourth root Seidel matrices ⋮ The symmetry group of a finite frame ⋮ Constructions of biangular tight frames and their relationships with equiangular tight frames ⋮ Harmonic equiangular tight frames comprised of regular simplices ⋮ Complex equiangular Parseval frames and Seidel matrices containing 𝑝th roots of unity ⋮ On the construction of equiangular frames from graphs ⋮ Construction ofk-Angle Tight Frames ⋮ Polyphase equiangular tight frames and abelian generalized quadrangles ⋮ Equiangular Frames and Their Duals ⋮ Construction of robust frames in erasure recovery
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complex equiangular cyclic frames and erasures
- Equiangular tight frames from Paley tournaments
- A directed graph version of strongly regular graphs
- Optimal frames for erasures.
- Directed strongly regular graphs obtained from coherent algebras
- The art of frame theory
- Two-graphs and skew two-graphs in finite geometries
- Equiangular lines, mutually unbiased bases, and spin models
- Strongly regular graphs with (-1, 1, 0) adjacency matrix having eigenvalue 3
- Equiangular lines
- Decoherence-Insensitive Quantum Communication by Optimal $C^{\ast }$-Encoding
- Z4 -Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets
- Portraits of Frames
- Strongly Regular Graphs Derived from Combinatorial Designs
This page was built for publication: Equiangular tight frames from complex Seidel matrices containing cube roots of unity