Connecting unextendible maximally entangled base with partial Hadamard matrices
Sign Up to like & getrecommendations! Published in 2017 at "Quantum Information Processing"
DOI: 10.1007/s11128-017-1537-7
Abstract: We study the unextendible maximally entangled bases (UMEB) in $$\mathbb {C}^{d}\bigotimes \mathbb {C}^{d}$$Cd⨂Cd and connect the problem to the partial Hadamard matrices. We show that for a given special UMEB in $$\mathbb {C}^{d}\bigotimes \mathbb {C}^{d}$$Cd⨂Cd,… read more here.
Keywords: hadamard matrix; partial hadamard; hadamard; maximally entangled ... See more keywords
A Mixed Heuristic for Generating Cocyclic Hadamard Matrices
Sign Up to like & getrecommendations! Published in 2018 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-018-0377-x
Abstract: A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion of fitness, and a peculiar local search, defined as a constraint satisfaction problem. Calculations support the… read more here.
Keywords: heuristic generating; mixed heuristic; hadamard; cocyclic hadamard ... See more keywords
Extension of the Set of Complex Hadamard Matrices of Size 8
Sign Up to like & getrecommendations! Published in 2018 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-018-0379-8
Abstract: A complex Hadamard matrix is defined as a matrix H which fulfills two conditions, $$|H_{j,k}|=1$$|Hj,k|=1 for all j and k and $$HH^{*}=N \mathbb {I}_N$$HH∗=NIN where $$\mathbb {I}_N$$IN is an identity matrix of size N. We… read more here.
Keywords: set complex; hadamard; size; complex hadamard ... See more keywords
Robust Hadamard Matrices, Unistochastic Rays in Birkhoff Polytope and Equi-Entangled Bases in Composite Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-018-0384-y
Abstract: We study a special class of (real or complex) robust Hadamard matrices, distinguished by the property that their projection onto a 2-dimensional subspace forms a Hadamard matrix. It is shown that such a matrix of… read more here.
Keywords: robust hadamard; matrix; hadamard; birkhoff polytope ... See more keywords
Identifying complex Hadamard submatrices of the Fourier matrices via primitive sets
Sign Up to like & getrecommendations! Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.01.017
Abstract: Abstract For a given selection of rows and columns from a Fourier matrix, we give a number of tests for whether the resulting submatrix is Hadamard based on the primitive sets of those rows and… read more here.
Keywords: fourier matrix; primitive sets; identifying complex; hadamard submatrices ... See more keywords
Hadamard coding of time-of-flight neutron reflectogram at grazing incidence
Sign Up to like & getrecommendations! Published in 2018 at "Physica B: Condensed Matter"
DOI: 10.1016/j.physb.2018.01.014
Abstract: Abstract At grazing incidence, neutrons are reflected by a flat smooth surface. Neutron reflectivity is known as a promising tool for precise and non-destructive analysis of buried layers and interfaces of thin films. On the… read more here.
Keywords: neutron; time; grazing incidence; hadamard ... See more keywords
Protograph-Based LDPC Hadamard Codes
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Communications"
DOI: 10.1109/tcomm.2021.3077939
Abstract: In this paper, we propose a new method to design low-density parity-check Hadamard (LDPC-Hadamard) codes — a type of ultimate-Shannon-limit approaching channel codes. The technique is based on applying Hadamard constraints to the check nodes… read more here.
Keywords: protograph based; based ldpc; hadamard codes; hadamard ... See more keywords
Compressed Sensing Based Synthetic Transmit Aperture for Phased Array Using Hadamard Encoded Diverging Wave Transmissions
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control"
DOI: 10.1109/tuffc.2018.2832058
Abstract: Previously, we proposed compressed sensing based synthetic transmit aperture (CS-STA) to improve the contrast and frame rate of STA while maintaining its spatial resolution in linear array by choosing uniform random matrix as the measurement… read more here.
Keywords: sta; sensing based; compressed sensing; phased array ... See more keywords
Hadamard-Encoded Synthetic Transmit Aperture Imaging for Improved Lateral Motion Estimation in Ultrasound Elastography
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control"
DOI: 10.1109/tuffc.2022.3148332
Abstract: Lateral motion estimation has been a challenge in ultrasound elastography mainly due to the low resolution, low sampling frequency, and lack of phase information in the lateral direction. Synthetic transmit aperture (STA) can achieve high… read more here.
Keywords: motion estimation; lateral motion; sta; motion ... See more keywords
Hadamard Decompositions of Nearly Commutative Algebras
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Notes"
DOI: 10.1134/s0001434618030240
Abstract: The notion of Hadamard decomposition of a semisimple associative finite-dimensional complex algebra generalizes the notion of the classical Hadamard matrix, which corresponds to the case of a commutative algebra. Algebras admitting Hadamard decompositions are said… read more here.
Keywords: algebra; decompositions nearly; hadamard; hadamard decompositions ... See more keywords
Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematics"
DOI: 10.1155/2021/5589405
Abstract: In this paper, generalized versions of Hadamard and Fejer–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The… read more here.
Keywords: fractional integrals; generalized fractional; hadamard; mittag leffler ... See more keywords