Quantum walk and its application domains: A systematic review

K Kadian, S Garhwal, A Kumar - Computer Science Review, 2021 - Elsevier
Quantum random walk is the quantum counterpart of a classical random walk. The classical
random walk concept has long been used as a computational framework for designing …

Quantum computing formulation of some classical Hadamard matrix searching methods and its implementation on a quantum computer

AB Suksmono, Y Minato - Scientific reports, 2022 - nature.com
Finding a Hadamard matrix (H-matrix) among all possible binary matrices of corresponding
order is a hard problem that can be solved by a quantum computer. Due to the limitation on …

Constructions of Goethals–Seidel Sequences by Using k-Partition

S Shen, X Zhang - Mathematics, 2023 - mdpi.com
In this paper, we are devoted to finding Goethals–Seidel sequences by using k-partition, and
based on the finite Parseval relation, the construction of Goethals–Seidel sequences could …

[HTML][HTML] Hadamard matrices with cocyclic core

V Álvarez, JA Armario, MD Frau, F Gudiel, MB Güemes… - Mathematics, 2021 - mdpi.com
Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs
in the 1990s, it has revealed itself as a powerful technique for looking for (cocyclic) …

Cohomology-developed matrices: constructing families of weighing matrices and automorphism actions

A Goldberger, G Dula - Journal of Algebraic Combinatorics, 2024 - Springer
The aim of this work is to construct families of weighing matrices via their automorphism
group action. The matrices can be reconstructed from the 0, 1, 2-cohomology groups of the …

[HTML][HTML] Pseudococyclic partial Hadamard matrices over Latin rectangles

RM Falcón, V Álvarez, MD Frau, F Gudiel, MB Güemes - Mathematics, 2021 - mdpi.com
The classical design of cocyclic Hadamard matrices has recently been generalized by
means of both the notions of the cocycle of Hadamard matrices over Latin rectangles and …

Recent progress on cocyclic matrices

V Álvarez, JA Armario, RM Falcón, MD Frau, F Gudiel… - congreso.us.es
About twenty-five years ago, Horadam and de Launey introduced the cocyclic development
of designs, from which the notion of cocyclic Hadamard matrices developed over a group (of …