Multi-RIS discrete-phase encoding for interpath-interference-free channel estimation

K Keykhosravi, H Wymeersch - arXiv preprint arXiv:2106.07065, 2021 - arxiv.org
Reconfigurable intelligent surfaces (RISs) are one of the foremost technological enablers of
future wireless systems. They improve communication and localization by providing a strong …

Multi-unitary complex Hadamard matrices

W Bruzda, G Rajchel-Mieldzioć… - Open Systems & …, 2024 - World Scientific
We analyze the set of real and complex Hadamard matrices with additional symmetry
constrains. In particular, we link the problem of existence of maximally entangled multipartite …

Two-unitary complex Hadamard matrices of order 36

W Bruzda, K Życzkowski - Special Matrices, 2024 - degruyter.com
A family of two-unitary complex Hadamard matrices (CHMs) of size 36 stemming from a
particular matrix is constructed. Every matrix in this orbit remains unitary after operations of …

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 …

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 …

Block-circulant complex Hadamard matrices

W Bruzda - Journal of Mathematical Physics, 2023 - pubs.aip.org
A new method of obtaining a sequence of isolated complex Hadamard matrices (CHM) for
dimensions N⩾ 7, based on block-circulant structures, is presented. We discuss several …

Butson full propelinear codes

JA Armario, I Bailera, R Egan - Designs, Codes and Cryptography, 2023 - Springer
In this paper we study Butson Hadamard matrices, and codes over finite rings coming from
these matrices in logarithmic form, called BH-codes. We introduce a new morphism of …

[HTML][HTML] Bilinear forms on finite abelian groups and group-invariant Butson Hadamard matrices

T Do Duc, B Schmidt - Journal of Combinatorial Theory, Series A, 2019 - Elsevier
Let K be a finite abelian group and let exp⁡(K) denote the least common multiple of the
orders of the elements of K. A BH (K, h) matrix is a K-invariant| K|×| K| matrix H whose entries …

[HTML][HTML] Nonexistence results on generalized bent functions Zqm→ Zq with odd m and q≡ 2 (mod 4)

KH Leung, B Schmidt - Journal of Combinatorial Theory, Series A, 2019 - Elsevier
Let p be an odd prime, let a be a positive integer, let m be an odd positive integer, and
suppose that a generalized bent function from Z 2 pam to Z 2 pa exists. We show that this …

Structured Unitary Matrices and Quantum Entanglement

W Bruzda - arXiv preprint arXiv:2204.12470, 2022 - arxiv.org
We explore the set of unitary matrices characterized by a given structure in the context of
their applications in the field of Quantum Information. In the first part of the Thesis we focus …