Factorization of the Wigner distribution in prime power dimensions

Laser Physics

Volumn 16, Issue 11, 2006, Pages 1557-1564

  Durt, T ^a  

^a TENA TONA Free University of Brussels ^*  (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION RETRIEVAL; MATRIX ALGEBRA; TOMOGRAPHY;

DENSITY MATRIX; WIGNER DISTRIBUTION;

QUANTUM THEORY;

EID: 33751551191     PISSN: 1054660X     EISSN: 15556611     Source Type: Journal    
DOI: 10.1134/S1054660X06110090     Document Type: Article

References (33)

1. I. L. Chuang, L. M. K. Vandersypen, et. al, Nature 393, 143 (1998).
2. C. H. Bennett, and D. P. Divincenzo, "Quantum Information and Computation," Nature 404, 247-255 (2000).
3. H. Weyl, Z. Phys. 46, 1 (1927);
4. H. Weyl, Gruppenthorie und Quantenmechanik (1928); English translation by H. P. Robertson and E. P. Dutton (New York, 1932).
5. A. Vourdas, J. Phys. A: Math. Gen. 29, 4275 (1996).
6. W. K. Wootters, and B. D. Fields, Ann. Phys. 191, 363 (1989).
7. I. D. Ivanovic, J. Phys. A14, 3241 (1981).
8. S. Bandyopadhyay, P. Boykin, V. Roychowdhury, and F. Vatan, Algorithmica 34, 512 (2002); quant-ph/0103162, 1-22 (2001)).
9. T. Durt, J. Phys. A: Math. Gen. 38, 5267 (2005).
10. D. F. Walls and J. Gerard, Milburn Quantum Optics (Springer, Berlin, 1994).
11. W.-K. Wootters, Ann. Phys. 176, 1 (1987).
12. T. Durt, quant-ph/0401037, 1-10 (2004);
13. J. Mod. Opt. B (in press).
14. E. P. Wigner, Phys. Rev. 40 (5), 749 (1932);
15. M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106 (3), 121 (1984).
16. U. Fano, Rev. Mod. Phys. 55, 855 (1983).
17. T. Durt, "Tomography of One and Two Qubit States and Factorisation of the Discrete Wigner Distribution," quant/ph, 1-21 (2006).
18. W. K. Wootters, quant-ph/0306135, 1-23 (2003); quant-ph/0406032, 1-26 (2004).
19. M. Planat, H. Rosu, S. Perrine, and M. Saniga, quant-ph/0409096, 1-5 (2004).
20. K. S. Gibbons, M. J. Hoffman, and W. K. Wootters, Phys. Rev. A 70, 062101 (2004).
21. A. O. Pittenger and M. H. Rubin, J. Phys. A 38, 6005 (2005).
22. J. Paz, A. Roncaglia, and M. Saraceno, quant-ph/0400117, 1-19 (2004).
23. A. O. Pittenger and M. H. Rubin, Linear Algebr. Appl. 390, 255 (2004).
24. C. Cormick, E. F. Galvao, D. Gottesman, et al., quant-ph/0506222, 1-10 (2005).
25. A. Vourdas, Rep. Prog. Phys. 67, 267 (2004),
26. J. Phys. A 38, 8453 (2005).
27. B. Nagler and T. Durt, Phys. Rev. A 66, 042323 (2003).
28. J. L. Romero, G. Bjork, A. B. Klimov, and L. L. Sanchez-Soto, quant-ph/0508129, 1-16 (2005).
29. T. Durt, quant-ph/0401046, 1-24 (2004).
30. S. Colin, J. Corbett, T. Durt, and D. Gross, J. Opt. B: Quantum Semiclass. Opt. 7, S778 (2005).
31. M. Appleby, quant-ph/0412001, 1-26 (2004).
32. D. Gross, "Phase Space Methods in Quantum Information," PhD Thesis (Univ. of Potsdam, Potsdam, 2005); http://fross.qipc.org.
33. C. Archer, quant-ph/0312204, 1-17 (2003).