Weight of quadratic forms and graph states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 5, 2009, Pages

  Cosentino, Alessandro ^a   Severini, Simone ^b  

^a UNIVERSITY OF PISA   (Italy)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIPARTITE GRAPHS; CLASSIFICATION OF GRAPHS; GRAPH STATE; NEW TOOLS; QUADRATIC FORM;

GRAPH THEORY;

NUMBER THEORY;

EID: 70450265522     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.052309     Document Type: Article

References (21)

1. M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. Van den Nest, and H. J. Briegel, e-print arXiv:quant-ph/0602096.
2. D. Schlingemann, Quantum Inf. Comput. 2, 307 2002.
3. R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. 86, 5188 (2001). 10.1103/PhysRevLett.86.5188
4. Z. Ji, J. Chen, Z. Wei, and M. Ying, e-print arXiv:0709.1266.
5. D. Fattal, T. S. Cubitt, Y. Yamamoto, S. Bravyi, and I. L. Chuang, e-print arXiv:quant-ph/0406168.
6. J. Eisert and H. J. Briegel, Phys. Rev. A 64, 022306 (2001). 10.1103/PhysRevA.64.022306
7. D. Gross and M. Van den Nest, Quantum Inf. Comput. 8, 263 (2008).
8. M. G. Parker and V. Rijmen, e-print arXiv:quant-ph/0107106.
9. C. Riera and M. G. Parker, IEEE Trans. Inf. Theory 52, 4142 (2006). 10.1109/TIT.2006.880069
10. C. Riera, G. Petrides, and M. G. Parker, e-print arXiv:cs/0502050.
11. L. E. Danielsen, e-print arXiv:quant-ph/0503236.
12. C. M. Dawson, H. L. Haselgrove, A. P. Hines, D. Mortimer, M. A. Nielsen, and T. J. Osborne, Quantum Inf. Comput. 5, 102 (2005).
13. A. Ehrenfeucht and M. Karpinski, The Computational Complexity of (XOR,AND)-Counting Problems, Technical report, 1990. Available online at www.citeseer.com.
14. R. Lidl and H. Niederreiet, Finite Fields (Cambridge University Press, Cambridge, England, 1997).
15. J. W. Eaton, GNU Octave, http://www.octave.org/
16. See EPAPS Document No. E-PLRAAN-80-021911 for a computer program that calculates the MS-number of a graph. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html.
17. C. Godsil and G. Royle, Algebraic Graph Theory (Springer, New York, 2001).
18. M. Van den Nest and B. De Moor, e-print arXiv:math/0510246.
19. L. E. Danielsen and M. G. Parker, Designs, Codes, Cryptogr. 49, 161 (2008). 10.1007/s10623-008-9190-x
20. B. D. McKay, Nauty User's Guide (Version 2.4) (Department of Computer Science, Australian National University, Canberra, Australia, 2007).
21. Walsh-Hadamard Transform is also called Abstract Fourier Transform.