naa a22 4500 510768253 CHVBK 20180411083204.0 cr unu---uuuuu 180411e20130801xx s 000 0 eng 10.1007/s12043-013-0570-z doi (NATIONALLICENCE)springer-10.1007/s12043-013-0570-z Coxeter groups A4, B4 and D4 for two-qubit systems [Elektronische Daten] [RAMAZAN KOÇ, M HACIIBRAHIMOǦLU, MEHMET KOCA] The Coxeter-Weyl groups W(A4), W(B4), and W(D4) have proven very useful for two-qubit systems in quantum information theory. A simple technique is employed to construct the unitary matrix representations of the groups, based on quaternionic transformation of the usual reflection matrices. The von Neumann entropy of each reduced density matrix is calculated. It is shown that these unitary matrix representations are naturally related to various universal quantum gates and they lead to entangled states. Canonical decomposition of generators in terms of fundamental gate representations is given to construct the quantum circuits. Indian Academy of Sciences, 2013 Quantum computation nationallicence quantum information nationallicence group theory in quantum mechanics nationallicence KOÇ RAMAZAN Department of Physics, Faculty of Engineering, University of Gaziantep, 27310, Gaziantep, Turkey aut HACIIBRAHIMOǦLU M. Department of Physics, Faculty of Engineering, University of Gaziantep, 27310, Gaziantep, Turkey aut KOCA MEHMET Department of Physics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khoud 123, Muscat, Oman aut Pramana Springer India 81/2(2013-08-01), 247-260 0304-4289 81:2<247 2013 81 12043 https://doi.org/10.1007/s12043-013-0570-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12043-013-0570-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- KOÇ RAMAZAN Department of Physics, Faculty of Engineering, University of Gaziantep, 27310, Gaziantep, Turkey aut NATIONALLICENCE 700 1- HACIIBRAHIMOǦLU M. Department of Physics, Faculty of Engineering, University of Gaziantep, 27310, Gaziantep, Turkey aut NATIONALLICENCE 700 1- KOCA MEHMET Department of Physics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khoud 123, Muscat, Oman aut NATIONALLICENCE 773 0- Pramana Springer India 81/2(2013-08-01), 247-260 0304-4289 81:2<247 2013 81 12043 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer