2013/10/23 by Teodor Banica, Teo Banica, Banica, Teo +2 · 3 citations
Chemistry · Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Chemistry #Combinatorics #FOS: Mathematics #Fourier transform #Hadamard matrix #Hadamard transform #Mathematical physics #Mathematics #Matrix (chemical analysis) #Operator Algebras (math.OA) #Physics #Pure mathematics #Quantum #Quantum Algebra (math.QA) #Quantum Fourier transform #Quantum algorithm #Quantum gate #Quantum mechanics #Tensor (intrinsic definition) #Tensor product #math.OA #math.QA
paper · pdf · doi:10.48550/arxiv.1310.6278
published in arXiv (Cornell University) (Cornell University) · Withdrawn by the authors - the main findings in this paper are now part of arXiv:1402.1048
openalex publication_date 2013/10/23 · arxiv created 2014/12/02 · arxiv updated 2014/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the deformed tensor products of complex Hadamard matrices, Lia,jb=QibHijKab. One problem is that of reconstructing the quantum group GL⊂ SNM+ out of the quantum groups GH⊂ SN+,GK⊂ SM+ and of the parameter matrix Q∈ MN× M(\mathbb T), and we obtain here several results, including complete results in the Fourier matrix case, H=FN,K=FM, when the parameter matrix Q is generic.