A Characterization of Projective Unitary Equivalence of Finite Frames and Applications

DOI10.1137/15M1042140zbMath1336.05085OpenAlexW2397593486MaRDI QIDQ2808157

Tuan-Yow Chien, Shayne F. D. Waldron

Publication date: 26 May 2016

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1042140

zbMATH Keywords

cycle spacechordal graphlow-rank matrix completionGramian matrixequiangular tight frameGramianharmonic frametriple productsprojective symmetry groupmutually unbiased bases (MUBs)projective unitary equivalenceBargmann invariantsframe graphsymmetric informationally complete positive operator valued measure (SIC-POVM)

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Quantum measurement theory, state operations, state preparations (81P15) General harmonic expansions, frames (42C15) Linear transformations, semilinear transformations (15A04) Projective techniques in algebraic geometry (14N05) Configurations and arrangements of linear subspaces (14N20) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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Uses Software

• Magma

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