scholarly journals Adaptive sensing using deterministic partial Hadamard matrices

2012 ◽  
Author(s):  
S. Haghighatshoar ◽  
E. Abbe ◽  
E. Telatar
Keyword(s):  
Hadamard Matrices ◽  
Adaptive Sensing ◽  
Partial Hadamard Matrices

scholarly journals Isolated Partial Hadamard Matrices and Related Topics

2018 ◽  
Vol 25 (02) ◽  
pp. 1850009
Author(s):  
Teodor Banica ◽  
Duygu Özteke ◽  
Lorenzo Pittau
Keyword(s):  
Hadamard Matrices ◽  
Permutation Groups ◽  
Roots Of Unity ◽  
Unitary Matrices ◽  
The Subject ◽  
Partial Hadamard Matrices

We study the partial Hadamard matrices [Formula: see text] which are isolated, under the assumption that the entries [Formula: see text] are roots of unity, or more generally, under the assumption that the combinatorics of H comes from vanishing sums of roots of unity. We first review the various conjectures on the subject, and then we present several new results, regarding notably the isolation of the master Hadamard matrices, [Formula: see text], and the structure of the isolated matrices arising via the McNulty-Weigert construction. We discuss then the notion of isolation, in some related contexts, of the magic unitary matrices, and of the quantum permutation groups.

scholarly journals Generating binary partial Hadamard matrices

2019 ◽  
Vol 263 ◽  
pp. 2-7 ◽  
Author(s):  
V. Álvarez ◽  
J.A. Armario ◽  
R.M. Falcón ◽  
M.D. Frau ◽  
F. Gudiel ◽  
...  
Keyword(s):  
Hadamard Matrices ◽  
Partial Hadamard Matrices

scholarly journals Pseudococyclic Partial Hadamard Matrices over Latin Rectangles

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 113
Author(s):  
Raúl M. Falcón ◽  
Víctor Álvarez ◽  
María Dolores Frau ◽  
Félix Gudiel ◽  
María Belén Güemes
Keyword(s):  
Hadamard Matrix ◽  
Hadamard Matrices ◽  
Classical Design ◽  
Latin Rectangle ◽  
Partial Hadamard Matrices

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 the pseudococycle of Hadamard matrices over quasigroups. This paper delves into this topic by introducing the concept of the pseudococycle of a partial Hadamard matrix over a Latin rectangle, whose fundamentals are comprehensively studied and illustrated.

Connecting unextendible maximally entangled base with partial Hadamard matrices

2017 ◽  
Vol 16 (3) ◽  
Author(s):  
Yan-Ling Wang ◽  
Mao-Sheng Li ◽  
Shao-Ming Fei ◽  
Zhu-Jun Zheng
Keyword(s):  
Hadamard Matrices ◽  
Partial Hadamard Matrices

scholarly journals Circulant partial Hadamard matrices

2013 ◽  
Vol 439 (11) ◽  
pp. 3307-3317 ◽  
Author(s):  
R. Craigen ◽  
G. Faucher ◽  
R. Low ◽  
T. Wares
Keyword(s):  
Hadamard Matrices ◽  
Partial Hadamard Matrices
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