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 …
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 …
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 …
Some combinatorial designs, such as Hadamard matrices, have been extensively researched and are familiar to readers across the spectrum of Science and Engineering …
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 …
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 …
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 …
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 …
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 …