Projective ring line of an arbitrary single qudit

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 1, 2008, Pages

  Havlicek, Hans ^a   Saniga, Metod ^b  

^a INSTITUT FÜR DISKRETE MATHEMATIK UND GEOMETRIE   (Austria)

^b ASTRONOMICAL INSTITUTE   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37249019613     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/1/015302     Document Type: Article

References (14)

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2. Blunck A and Havlicek H 2000 Projective representations: I. Projective lines over rings Abh. Math. Sem. Univ. Hamburg 70 287-99
3. Havlicek H 2006 Divisible designs, Laguerre geometry, and beyond Quaderni del Seminario Matematico di Brescia 11 1-63 available from http://www. geometrie.tuwien.ac.at/havlicek/pdf/dd-laguerre.pdf
4. Saniga M, Planat M, Kibler M R and Pracna P 2007 A classification of the projective lines over small rings Chaos Solitons Fractals 33 1095-102
5. Herzer A 1995 Chain geometries Handbook of Incidence Geometry ed F Buekenhout (Amsterdam: Elsevier) pp 781-842
6. Blunck A and Herzer A 2005 Kettengeometrien-Eine Einführung (Aachen: Shaker-Verlag)
7. Thas K 2007 Pauli operators of N-qubit Hilbert spaces and the Saniga-Planat conjecture, Chaos, Solitons and Fractals, submitted
8. Thas K 2007 The geometry of generalized Pauli operators of N-qudit Hilbert space, unpublished
9. Saniga M and Planat M 2007 Multiple qubits as symplectic polar spaces of order two Adv. Stud. Theor. Phys. 1 1-4
10. Saniga M, Planat M and Pracna P 2007 Projective ring line encompassing two-qubits Theor. Math. Phys. at press (Preprint quant-ph/0611063)
11. Planat M and Saniga M 2007 Pauli graph and finite projective lines/geometries Proc. SPIE 6583 65830W
12. Planat M and Saniga M 2008 On the Pauli graphs of N-qudits Quantum Inf. Comput. 8 127-46
13. Planat M, Baboin A-C and Saniga M 2007 Multi-line geometry of qubit/qutrit and higher order Pauli operators Int. J. Theor. Phys. (Preprint 0705.2538) at press
14. Planat M and Baboin A-C 2007 Qudits of composite dimension, mutually unbiased bases and projective ring geometry J. Phys. A: Math. Theor. 40 F1005-12 Preprint 0709.2623