Conservation-law-induced quantum limits for physical realizations of the quantum NOT gate

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 3, 2007, Pages

  Karasawa, Tokishiro ^a   Ozawa, Masanao ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; PROBABILITY; PROBLEM SOLVING; PROGRAMMABLE LOGIC CONTROLLERS; QUANTUM THEORY;

COMPUTATIONAL QUBIT PLUS; PRECISION LIMITS; QUANTUM COMPUTATIONS; QUANTUM NOT GATES;

QUANTUM COMPUTERS;

EID: 33947512613     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.032324     Document Type: Article

References (38)

1. P. W. Shor, in Proceedings of the 35th Annual Symposium on Foundations of Computer Science, edited by, G. Goldwasser, (IEEE Computer Society Press, Los Alamitos, CA, 1994), pp. 124-134.
2. W. G. Unruh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.51.992 51, 992 (1995).
3. G. M. Palma, K. A. Suominen, and A. K. Ekert, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1996.0029 452, 567 (1996).
4. S. Haroche and J.-M. Raimond, Phys. Today PHTOAD 0031-9228 49 (8), 51 (1996).
5. P. W. Shor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.R2493 52, R2493 (1995).
6. A. M. Steane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 793 77, 793 (1996).
7. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
8. M. Ozawa, in Proceedings of the Sixth International Conference on Quantum Communication, Measurement and Computing, edited by, J. H. Shappiro, and, O. Hirota, (Rinton Press, Princeton, 2003), pp. 175-180.
9. J. P. Barnes and W. S. Warren, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.4363 60, 4363 (1999).
10. J. Gea-Banacloche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65. 022308 65, 022308 (2002).
11. S. J. van Enk and H. J. Kimble, Quantum Inf. Comput. QICUAW 1533-7146 2, 1 (2002).
12. M. Ozawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.057902 89, 057902 (2002).
13. E. P. Wigner, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01948686 133, 101 (1952).
14. H. Araki and M. M. Yanase, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.120.622 120, 622 (1960).
15. M. Ozawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.089802 91, 089802 (2003).
16. D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 089801 91, 089801 (2003).
17. Y. Kawano and M. Ozawa, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012339 73, 012339 (2006).
18. M. Ozawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.050402 88, 050402 (2002b).
19. M. Ozawa, Int. J. Quantum Inf. ZZZZZZ 0219-7499 1, 569 (2003).
20. M. Ozawa, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.042105 67, 042105 (2003).
21. M. Ozawa, Phys. Lett. A PYLAAG 0375-9601 318, 21 (2003).
22. M. Ozawa, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2003.12.012 311, 350 (2004).
23. J. Gea-Banacloche and M. Ozawa, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/7/10/017 7, S326 (2005).
24. W. M. Itano, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.046301 68, 046301 (2003).
25. A. Silberfarb and I. H. Deutsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042308 69, 042308 (2004).
26. S. J. van Enk and H. J. Kimble, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.046302 68, 046302 (2003).
27. J. Gea-Banacloche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68. 046303 68, 046303 (2003).
28. M. A. Nielsen and I. L. Chuang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.321 79, 321 (1997).
29. C. Vidal and J. I. Cirac, e-print quant-ph/0012067.
30. M. Hillery, M. Ziman, and V. Burek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.022345 73, 022345 (2006).
31. G. M. Dariano and P. Perinotti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.090401 94, 090401 (2005).
32. G. M. Da-Ariano and P. Perinotti, e-print quant-ph/0509183.
33. G. M. Da-Ariano and P. Perinotti, e-print quant-ph/0510033.
34. V. I. Paulsen, Completely Bounded Maps and Dilations, Pitman Research Notes in Mathematics, Vol. 146 (Longman, New York, 1986).
35. V. P. Belavkin, G. M. Dariano, and M. Raginsky, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1904510 46, 062106 (2005).
36. M. Hotta, T. Karasawa, and M. Ozawa, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.052334 72, 052334 (2005).
37. G. Szego, Orthogonal Polynomials (American Mathematical Society, Providence, RI, 1967).
38. T. S. Chihara, An Introduction to Orthogonal Polynomials (Gordon and Breach, New York, 1978).