$p$-adic Welch bounds and $p$-adic Zauner conjecture

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean valued fields (12J25)

Cites Work

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Optimal simplices and codes in projective spaces
A mathematical introduction to compressive sensing
Optimal asymptotic bounds for spherical designs
Two are better than one: fundamental parameters of frame coherence
Minimization of the probabilistic $p$-frame potential
SICs: some explanations
Equiangular lines in Euclidean spaces
Equiangular lines and covers of the complete graph
A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4
Frame potentials and the geometry of frames
On the existence of equiangular tight frames
Codebooks from almost difference sets
Averaging sets: A generalization of mean values and spherical designs
Grassmannian frames with applications to coding and communication
Large equiangular sets of lines in euclidean space
Upper bounds for $s$-distance sets and equiangular lines
Equiangular lines and spherical codes in Euclidean space
An introduction to finite tight frames
The number behind the simplest SIC-POVM
SICs and algebraic number theory
Geometry of the Welch bounds
Non-Archimedean analogues of orthogonal and symmetric operators and $p$-adic quantization
Finite normalized tight frames
Equiangular lines with a fixed angle
Equiangular lines in low dimensional Euclidean spaces
Frames over finite fields: equiangular lines in orthogonal geometry
Quaternionic equiangular lines
Forbidden subgraphs for graphs of bounded spectral radius, with applications to equiangular lines
Nearly orthogonal vectors and small antipodal spherical codes
Doubly transitive lines. I: Higman pairs and roux
Graph representations, two-distance sets, and equiangular lines
Energy optimization for distributions on the sphere and improvement to the Welch bounds
Equiangular lines, mutually unbiased bases, and spin models
Equiangular lines
On p-adic Hilbert spaces
Frames over finite fields: basic theory and equiangular lines in unitary geometry
Bounds on Equiangular Lines and on Related Spherical Codes
Construction of all general symmetric informationally complete measurements
Fingerprinting With Equiangular Tight Frames
QUANTUM DESIGNS: FOUNDATIONS OF A NONCOMMUTATIVE DESIGN THEORY
Tight informationally complete quantum measurements
Symmetric informationally complete–positive operator valued measures and the extended Clifford group
Non-Archimedean Operator Theory
New bounds for equiangular lines
On beamforming with finite rate feedback in multiple-antenna systems
Greed is Good: Algorithmic Results for Sparse Approximation
Designing structured tight frames via an alternating projection method
Generalized welch bound equality sequences are tight frames
Achieving the Welch Bound With Difference Sets
Correction to "Achieving the Welch Bound With Difference Sets"
Bounds on crosscorrelation and autocorrelation of sequences (Corresp.)
Complex sequences with low periodic correlations (Corresp.)
Lower bounds on the maximum cross correlation of signals (Corresp.)
Z₄ -Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets
A Sharpening of the Welch Bounds and the Existence of Real and Complex Spherical $t$ –Designs
Dictionary Preconditioning for Greedy Algorithms
On Meeting the Peak Correlation Bounds
A Short Introduction to Optimal Line Packings
Packings in Real Projective Spaces
Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
Symmetric informationally complete quantum measurements
SIC-POVMs and the Stark Conjectures
Tight frames, Hadamard matrices and Zauner’s conjecture
Equiangular frames and generalizations of the Welch bound to dual pairs of frames
An Introduction to Compressed Sensing
Generating ray class fields of real quadratic fields via complex equiangular lines
An Introduction to Algebraic Statistics with Tensors
Symmetric informationally complete positive-operator-valued measures: A new computer study
Symmetric Tensors and Symmetric Tensor Rank
New Bounds for Equiangular Lines and Spherical Two-Distance Sets
Welch bounds for cross correlation of subspaces and generalizations
The Closest Packing of Spherical Caps in n Dimensions
Discrete and continuous Welch bounds for Banach spaces with applications

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\(p\)-adic Welch bounds and \(p\)-adic Zauner conjecture