Weighing matrices and optical quantum computing

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 6, 2009, Pages

  Flammia, Steven T ^a   Severini, Simone ^b  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 64649100656     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/6/065302     Document Type: Article

References (22)

1. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
2. Raussendorf R and Briegel H J 2001 A one-way quantum computer Phys. Rev. Lett. 86 5188-91
3. Briegel H J and Raussendorf R 2001 Persistent entanglement in arrays of interacting particles Phys. Rev. Lett. 86 910-3
4. Zhou D L, Zeng B, Xu Z and P. C 2003 Sun quantum computation based on d-level cluster states Phys. Rev. A 68 062303
5. Zhang J and Braunstein S L 2006 Continuous-variable Gaussian analog of cluster states Phys. Rev. A 73 32318
6. Menicucci N C, Loock P van, Gu M, Weedbrook C, Ralph T C and Nielsen M A 2006 Universal quantum computation with continuous-variable cluster states Phys. Rev. Lett. 97 110501
7. Menicucci N C, Flammia S T and Pfister O 2008 One-way quantum computing in the optical frequency comb Phys. Rev. Lett. 101 130501
8. Menicucci N C, Flammia S T, Zaidi H and Pfister O 2007 Ultracompact generation of continuous-variable cluster states Phys. Rev. A 76 010302
9. Zaidi H, Menicucci N C, Flammia S T, Bloomer R, Pysher M and Pfister O 2008 Entangling the optical frequency comb: simultaneous generation of multiple 2 × 2 and 2 × 3 continuous-variable cluster states in a single optical parametric oscillator Laser Phys. 18 659
10. Flammia S T, Menicucci N C and Pfister O 2008 The optical frequency comb as a one-way quantum computer arXiv:0811.2799
11. Diestel R 2000 Graph Theory (Graduate Texts in Mathematics) 2nd edn (New York: Springer)
12. Cameron P J 1999 Permutation groups (London Mathematical Society Student Texts vol 45) (Cambridge: Cambridge University Press)
13. Yates F 1935 Complex experiments J. R. Stat. Soc. (Suppl). 2 181-247
14. Horadam K J 2007 Hadamard Matrices and Their Applications (Princeton, NJ: Princeton University Press)
15. Geramita A V and Seberry J 1979 Orthogonal Designs, Quadratic Forms and Hadamard Matrices (Lecture Notes in Pure and Applied Mathematics vol 45) (New York: Dekker)
16. Koukouvinos C and Seberry J 1997 Weighing matrices and their applications J. Stat. Plan. Inference 62 91-101
17. Arasu K T and Seberry J 1998 On circulant weighing matrices Australas. J. Combin. 17 21-37
18. Severini S 2003 On the digraph of a unitary matrix SIAM J. Matrix Anal. Appl. (SIMAX) 25 295-300
19. Severini S 2008 Graphs of unitary matrices Ars Combin. 89
20. Imrich W and Klavar S 2000 Product Graphs. Structure and Recognition Wiley-Interscience Series in Discrete Mathematics and Optimization (New York: Interscience)
21. Alspach B and Zhang C-Q 1989 Hamilton cycles in cubic Cayley graphs on dihedral groups Ars Combin. 28 101-8
22. Gutin G, Rafiey A, Severini S and Yeo A 2006 Hamilton cycles in digraphs of unitary matrices Discrete Appl. Math. 173 67-78