Connecting unextendible maximally entangled base with partial Hadamard matrices
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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
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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
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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
A finiteness result for circulant core complex Hadamard matrices
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DOI: 10.1016/j.laa.2019.02.016
Abstract: Abstract We show that for every prime number p there exist finitely many circulant core complex Hadamard matrices of size p + 1 . The proof uses a ‘derivative at infinity’ argument to reduce the… read more here.
Keywords: circulant core; core complex; hadamard matrices; complex hadamard ... See more keywords
Construction of optimal supersaturated designs via generalized Hadamard matrices
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2020.1777309
Abstract: Abstract A supersaturated design (SSD) is a factorial design whose run size is not enough for estimating all the main effects. Such designs have received much recent interest because of their potential in factor screening… read more here.
Keywords: generalized hadamard; hadamard matrices; via generalized; construction optimal ... See more keywords
Quantum Dynamical Entropy, Chaotic Unitaries and Complex Hadamard Matrices
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DOI: 10.1109/tit.2017.2751507
Abstract: We introduce two information-theoretical invariants for the projective unitary group acting on a finite-dimensional complex Hilbert space: PVM- and POVM-dynamical (quantum) entropies, which are analogues of the classical Kolmogorov-Sinai entropy rate. They quantify the maximal… read more here.
Keywords: entropy; dynamical entropy; chaotic unitaries; complex hadamard ... See more keywords
Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113
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DOI: 10.1515/spma-2018-0002
Abstract: Abstract We continue our systematic search for symmetric Hadamard matrices based on the so called propus construction. In a previous paper this search covered the orders 4v with odd v ≤ 41. In this paper… read more here.
Keywords: symmetric hadamard; matrices order; construction; hadamard matrices ... See more keywords