Maximizing the Hilbert Space for a Finite Number of Distinguishable Qquantum States

Physical Review Letters

Volumn 92, Issue 9, 2004, Pages

  Greentree, Andrew D ^a   Schirmer, S G ^b   Green, F ^a   Hollenberg, Lloyd C L ^c   Hamilton, A R ^a   Clark, R G ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; DEGREES OF FREEDOM (MECHANICS); ELECTRONS; FERMIONS; IONIZATION; MATHEMATICAL MODELS; OPTICAL DEVICES; PHOTONS;

QUANTUM COMPUTERS (QC); QUANTUM COMPUTING; QUANTUM ELEMENTS; QUANTUM PARTICLES;

QUANTUM THEORY;

EID: 42749092677     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.097901     Document Type: Article

References (36)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
2. R. Blume-Kohout, C. M. Caves, and I. H. Deutsch, Found Phys. 32, 1641 (2002).
3. A. Ekert and R. Josza, Rev. Mod. Phys. 68, 733 (1996); L. Fedichkin, M. Yanchenko, and K. A. Valiev, Nanotechnology 11, 387 (2000); A. S. Dzurak et al., cond-mat/0306265; R. G. Clark et al., Philos. Trans. R. Soc. London, Ser. A 361, 1451 (2003).
4. A. Ekert and R. Josza, Rev. Mod. Phys. 68, 733 (1996); L. Fedichkin, M. Yanchenko, and K. A. Valiev, Nanotechnology 11, 387 (2000); A. S. Dzurak et al., cond-mat/0306265; R. G. Clark et al., Philos. Trans. R. Soc. London, Ser. A 361, 1451 (2003).
5. A. Ekert and R. Josza, Rev. Mod. Phys. 68, 733 (1996); L. Fedichkin, M. Yanchenko, and K. A. Valiev, Nanotechnology 11, 387 (2000); A. S. Dzurak et al., cond-mat/0306265; R. G. Clark et al., Philos. Trans. R. Soc. London, Ser. A 361, 1451 (2003).
6. A. Ekert and R. Josza, Rev. Mod. Phys. 68, 733 (1996); L. Fedichkin, M. Yanchenko, and K. A. Valiev, Nanotechnology 11, 387 (2000); A. S. Dzurak et al., cond-mat/0306265; R. G. Clark et al., Philos. Trans. R. Soc. London, Ser. A 361, 1451 (2003).
7. L.C. L. Hollenberg et al., cond-mat/0306235 [Phys. Rev. B (to be published)].
8. L.C. L. Hollenberg et al., cond-mat/0306235 [Phys. Rev. B (to be published)].
9. Yu. Makhlin, G. Schön, and A. Shnirman, Nature (London) 398, 305 (1999); Y. Nakamura, Yu. A. Pashkin, and J.S. Tsai, ibid 398, 786 (1999).
10. Yu. Makhlin, G. Schön, and A. Shnirman, Nature (London) 398, 305 (1999); Y. Nakamura, Yu. A. Pashkin, and J.S. Tsai, ibid 398, 786 (1999).
11. I. L. Chuang and Y. Yamamoto, Phys. Rev. A 52, 3489 (1995).
12. E. Knill, L. Laflamme, and G. J. Milburn, Nature (London) 409, 46 (2001).
13. P. Rungta et al., in Directions in Quantum Optics edited by H.J. Carmichael, R.J. Glauber, and M.O. Scully (Springer-Verlag, Heidelberg, 2001), p. 149.
14. C. M. Caves and G. J. Milburn, Opt Commun. 179, 439 (2000).
15. D. Kaszlikowski et al., Phys. Rev. Lett 85, 4418 (2000); T. Durt, D. Kaszlikowski, and M. Zukowski, Phys. Rev. A 64, 024101 (2001); J.L. Chen et al., ibid. 64, 052109 (2001); D. Collins et al., Phys. Rev. Lett. 88, 040404 (2002); D. Kaszlikowski et al., Phys. Rev. A 66, 032103 (2002).
16. D. Kaszlikowski et al., Phys. Rev. Lett 85, 4418 (2000); T. Durt, D. Kaszlikowski, and M. Zukowski, Phys. Rev. A 64, 024101 (2001); J.L. Chen et al., ibid. 64, 052109 (2001); D. Collins et al., Phys. Rev. Lett. 88, 040404 (2002); D. Kaszlikowski et al., Phys. Rev. A 66, 032103 (2002).
17. D. Kaszlikowski et al., Phys. Rev. Lett 85, 4418 (2000); T. Durt, D. Kaszlikowski, and M. Zukowski, Phys. Rev. A 64, 024101 (2001); J.L. Chen et al., ibid. 64, 052109 (2001); D. Collins et al., Phys. Rev. Lett. 88, 040404 (2002); D. Kaszlikowski et al., Phys. Rev. A 66, 032103 (2002).
18. D. Kaszlikowski et al., Phys. Rev. Lett 85, 4418 (2000); T. Durt, D. Kaszlikowski, and M. Zukowski, Phys. Rev. A 64, 024101 (2001); J.L. Chen et al., ibid. 64, 052109 (2001); D. Collins et al., Phys. Rev. Lett. 88, 040404 (2002); D. Kaszlikowski et al., Phys. Rev. A 66, 032103 (2002).
19. D. Kaszlikowski et al., Phys. Rev. Lett 85, 4418 (2000); T. Durt, D. Kaszlikowski, and M. Zukowski, Phys. Rev. A 64, 024101 (2001); J.L. Chen et al., ibid. 64, 052109 (2001); D. Collins et al., Phys. Rev. Lett. 88, 040404 (2002); D. Kaszlikowski et al., Phys. Rev. A 66, 032103 (2002).
20. A. Vaziri, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 89, 240401 (2002).
21. Caslav Brukner, Marek Zukowski, and A. Zeilinger, Phys. Rev. Lett 89, 197901 (2002).
22. M.A Nielsen et al., Phys. Rev. A 66, 022317 (2002); E. Bagan, M. Baig, and R. Muñoz-Tapia, Phys. Rev. A 67, 014303 (2003); K Fujii, J. Opt B 5, 6313 (2003); A. Yu. Vlasov, quant-ph/0210049 vl; X. Wang, B.C. Sanders, and D.W. Berry, Phys. Rev. A 67, 042323 (2003).
23. M.A Nielsen et al., Phys. Rev. A 66, 022317 (2002); E. Bagan, M. Baig, and R. Muñoz-Tapia, Phys. Rev. A 67, 014303 (2003); K Fujii, J. Opt B 5, 6313 (2003); A. Yu. Vlasov, quant-ph/0210049 vl; X. Wang, B.C. Sanders, and D.W. Berry, Phys. Rev. A 67, 042323 (2003).
24. M.A Nielsen et al., Phys. Rev. A 66, 022317 (2002); E. Bagan, M. Baig, and R. Muñoz-Tapia, Phys. Rev. A 67, 014303 (2003); K Fujii, J. Opt B 5, 6313 (2003); A. Yu. Vlasov, quant-ph/0210049 vl; X. Wang, B.C. Sanders, and D.W. Berry, Phys. Rev. A 67, 042323 (2003).
25. M.A Nielsen et al., Phys. Rev. A 66, 022317 (2002); E. Bagan, M. Baig, and R. Muñoz-Tapia, Phys. Rev. A 67, 014303 (2003); K Fujii, J. Opt B 5, 6313 (2003); A. Yu. Vlasov, quant-ph/0210049 vl; X. Wang, B.C. Sanders, and D.W. Berry, Phys. Rev. A 67, 042323 (2003).
26. M.A Nielsen et al., Phys. Rev. A 66, 022317 (2002); E. Bagan, M. Baig, and R. Muñoz-Tapia, Phys. Rev. A 67, 014303 (2003); K Fujii, J. Opt B 5, 6313 (2003); A. Yu. Vlasov, quant-ph/0210049 vl; X. Wang, B.C. Sanders, and D.W. Berry, Phys. Rev. A 67, 042323 (2003).
27. R.T. Thew, K Nemoto, A.G. White, and W. J. Munro, Phys. Rev. A 66, 012303 (2002).
28. B.C. Sanders, S.D. Bartlett, and H. de Guise, quant-ph/0208008 vl.
29. C. E. Creffield, W. Häusler, J. H. Jefferson, and S. Sarkar, Phys. Rev. B 59, 10719 (1999).
30. C. E. Creffield and G. Platero, Phys. Rev. B 66, 235303 (2002).
31. J. H. Jefferson, M. Fearn, D. L. J. Tipton, and T. P. Spiller, Phys. Rev. A 66, 042328 (2002).
32. D.S. Abrams and S. Lloyd, Phys. Rev. Lett. 79, 2586 (1997).
33. S. B. Bravyi and Al Ya. Kitaev, Ann. Phys. (N.Y.) 298, 210 (2002).
34. S.G. Schirmer, A.D. Greentree, and D.K.L. Oi, quant-ph/0305052.
35. J. Daboul, X. Wang, and B. C. Sanders, J. Phys. A 36, 2525 (2003).
36. J. E. Mayer and M. G. Mayer, Statistical Mechanics (Wiley, New York, 1940).