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
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
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