[图书][B] Hadamard matrices and their applications

KJ Horadam - 2012 - books.google.com
In Hadamard Matrices and Their Applications, KJ Horadam provides the first unified account
of cocyclic Hadamard matrices and their applications in signal and data processing. This …

A concise guide to complex Hadamard matrices

W Tadej, K Życzkowski - Open Systems & Information Dynamics, 2006 - Springer
Complex Hadamard matrices, consisting of unimodular entries with arbitrary phases, play an
important role in the theory of quantum information. We review basic properties of complex …

Construction, classification and parametrization of complex Hadamard matrices

F Szöllősi - arXiv preprint arXiv:1110.5590, 2011 - arxiv.org
The intended purpose of this work is to provide the reader with a comprehensive, state-of-
the art presentation of the theory of complex Hadamard matrices, or at least report on the …

Orderly generation of Butson Hadamard matrices

P Lampio, P Östergård, F Szöllősi - Mathematics of Computation, 2020 - ams.org
In this paper Butson-type complex Hadamard matrices $\mathrm {BH}(n, q) $ of order $ n $
over the complex $ q $ th roots of unity are classified for small parameters by computer …

Exotic complex Hadamard matrices and their equivalence

F Szöllősi - Cryptography and communications, 2010 - Springer
In this paper we use a design theoretical approach to construct new, previously unknown
complex Hadamard matrices. Our methods generalize and extend the earlier results of de la …

Representations of quantum permutation algebras

T Banica, J Bichon, JM Schlenker - Journal of Functional Analysis, 2009 - Elsevier
We develop a combinatorial approach to the quantum permutation algebras, as Hopf
images of representations of type π: As (n)→ B (H). We discuss several general problems …

A survey of group invariant Butson matrices and their relation to generalized bent functions and various other objects

B Schmidt - Radon Ser. Comput. Appl. Math, 2019 - degruyter.com
12 A survey of group invariant Butson matrices and their relation to generalized bent functions
and various other objects Page 1 Bernhard Schmidt 12 A survey of group invariant Butson …

Unreal 's and Hadamard matrices

B Compton, R Craigen, W de Launey - Designs, Codes and Cryptography, 2016 - Springer
It is well-known that a complex Hadamard matrix of order 2 n 2 n can be used to construct a
Hadamard matrix of order 4 n 4 n. Let γ γ be a primitive complex cube root of unity. In this …

Classifying cocyclic Butson Hadamard matrices

R Egan, D Flannery, PÓ Catháin - Algebraic Design Theory and Hadamard …, 2015 - Springer
We classify all the cocyclic Butson Hadamard matrices BH (n, p) of order n over the p th roots
of unity for an odd prime p and np≤ 100. That is, we compile a list of matrices such that any …

A survey of complex generalized weighing matrices and a construction of quantum error-correcting codes

R Egan - Discrete Mathematics, 2025 - Elsevier
Some combinatorial designs, such as Hadamard matrices, have been extensively
researched and are familiar to readers across the spectrum of Science and Engineering …