Posttraumatic stress symptoms and world assumptions of persons witnessing a terrorist attack
Social Sciences Bulletin, cilt.28, sa.1, ss.99-108, 2019 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 28 Sayı: 1
- Basım Tarihi: 2019
- Doi Numarası: 10.9770/szv.2019.1(6)
- Dergi Adı: Social Sciences Bulletin
- Sayfa Sayıları: ss.99-108
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
Characterizing the $6\times 6$ complex Hadamard matrices (CHMs) is an open problem in linear algebra and quantum information. In this paper, we investigate the eigenvalues and eigenvectors of CHMs. We show that any $n\times n$ CHM with dephased form has two constant eigenvalues $\pm\sqrt{n}$ and has two constant eigenvectors. We obtain the maximum numbers of identical eigenvalues of $6\times 6$ CHMs with dephased form and we extend this result to arbitrary dimension. We also show that there is no $6\times 6$ CHM with four identical eigenvalues. We conjecture that the eigenvalues and eigenvectors of $6\times 6$ CHMs will lead to the complete classification of $6\times 6$ CHMs.