Wave packets can factorize numbers

Physica Status Solidi (B) Basic Research

Volumn 233, Issue 3, 2002, Pages 408-415

  Mack, H ^a   Bienert, M ^a   Haug, F ^a   Freyberger, M ^a   Schleich, W P ^a  

^a UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036799311     PISSN: 03701972     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-3951(200210)233:3<408::AID-PSSB408>3.0.CO;2-N     Document Type: Conference Paper

References (29)

1. Th. Young, Philos. Trans. R. Soc. 92, 12 (1802).
2. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
3. E. Schrödinger, Naturwissenschaften 23, 807, 823, 844 (1935).
4. P.W. Shor, Proc. 35th Annu. Symp. Foundations of Computer Science, IEEE Computer Society, Los Alamitos, 1994), p. 124 (short version); also in: SIAM J. Sci. Statist. Comput. 26, 1484 (1997); or alternatively quant-ph/9508027v2 (1996); A. Ekert and R. Josza, Rev. Mod. Phys. 68, 733 (1996).
5. P.W. Shor, Proc. 35th Annu. Symp. Foundations of Computer Science, IEEE Computer Society, Los Alamitos, 1994), p. 124 (short version); also in: SIAM J. Sci. Statist. Comput. 26, 1484 (1997); or alternatively quant-ph/9508027v2 (1996); A. Ekert and R. Josza, Rev. Mod. Phys. 68, 733 (1996).
6. P.W. Shor, Proc. 35th Annu. Symp. Foundations of Computer Science, IEEE Computer Society, Los Alamitos, 1994), p. 124 (short version); also in: SIAM J. Sci. Statist. Comput. 26, 1484 (1997); or alternatively quant-ph/9508027v2 (1996); A. Ekert and R. Josza, Rev. Mod. Phys. 68, 733 (1996).
7. H.-K. Lo, T. Spiller, and S. Popescu, Introduction to Quantum Computation and Information, World Scientific Publ. Co., Singapore 1998. J. Gruska, Quantum Computing, McGraw Hill Publ. Co., London 1999. D. Bouwmeester, A. Ekert, and A. Zeilinger, The Physics of Quantum Information, Springer-Verlag, Berlin 2000. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge 2000. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, Springer-Verlag, Berlin 2001.
8. H.-K. Lo, T. Spiller, and S. Popescu, Introduction to Quantum Computation and Information, World Scientific Publ. Co., Singapore 1998. J. Gruska, Quantum Computing, McGraw Hill Publ. Co., London 1999. D. Bouwmeester, A. Ekert, and A. Zeilinger, The Physics of Quantum Information, Springer-Verlag, Berlin 2000. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge 2000. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, Springer-Verlag, Berlin 2001.
9. H.-K. Lo, T. Spiller, and S. Popescu, Introduction to Quantum Computation and Information, World Scientific Publ. Co., Singapore 1998. J. Gruska, Quantum Computing, McGraw Hill Publ. Co., London 1999. D. Bouwmeester, A. Ekert, and A. Zeilinger, The Physics of Quantum Information, Springer-Verlag, Berlin 2000. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge 2000. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, Springer-Verlag, Berlin 2001.
10. H.-K. Lo, T. Spiller, and S. Popescu, Introduction to Quantum Computation and Information, World Scientific Publ. Co., Singapore 1998. J. Gruska, Quantum Computing, McGraw Hill Publ. Co., London 1999. D. Bouwmeester, A. Ekert, and A. Zeilinger, The Physics of Quantum Information, Springer-Verlag, Berlin 2000. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge 2000. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, Springer-Verlag, Berlin 2001.
11. H.-K. Lo, T. Spiller, and S. Popescu, Introduction to Quantum Computation and Information, World Scientific Publ. Co., Singapore 1998. J. Gruska, Quantum Computing, McGraw Hill Publ. Co., London 1999. D. Bouwmeester, A. Ekert, and A. Zeilinger, The Physics of Quantum Information, Springer-Verlag, Berlin 2000. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge 2000. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, Springer-Verlag, Berlin 2001.
12. H. Mack, M. Bienert, F. Haug, F.S. Straub, M. Freyberger, and W.P. Schleich, in: Experimental Quantum Computation, Eds. P. Mataloni and F. De Martini, Elsevier, Amsterdam 2002.
13. E.H. Kennard, Z. Phys. 44, 326 (1927).
14. M.M. Nieto, in: 5th Internat. Conf. Squeezed States and Uncertainty Relations, Eds. D. Han, J. Janszky, Y.S. Kim, and V.I. Manko, Greenbelt, Maryland 1998.
15. J.A. Yeazell and C.R. Stroud, Jr., Phys. Rev. A 43, 5153 (1991).
16. M.J.J. Vrakking, D.M. Villeneuve, and A. Stolow, Phys. Rev. A 54, R37 (1996).
17. J.H. Eberly, N.B. Narozhny, and J.J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).
18. G. Raithel, W.D. Phillips, and S.L. Rolston, Phys. Rev. Lett. 81, 3615 (1998).
19. A.E. Leanhardt, A.P. Chikkatur, D. Kielpinski, Y. Shin, T.L. Gustavson, W. Ketterle, and D.E. Pritchard, Phys. Rev. Lett. 89, 040401 (2002).
20. J.F. Clauser and J.P. Dowling, Phys. Rev. A 53, 4587 (1996).
21. W.G. Harter, Phys. Rev. A 64, 012312 (2001).
22. W.P. Schleich, Quantum Optics in Phase Space, Wiley-VCH, Berlin 2001.
23. B. Rohwedder, Fortschr. Phys. 47, 883 (1999).
24. C. Leichtle, I.S. Averbukh, and W.P. Schleich, Phys. Rev. Lett. 77, 3999 (1996); Phys. Rev. A 54, 5299 (1996).
25. C. Leichtle, I.S. Averbukh, and W.P. Schleich, Phys. Rev. Lett. 77, 3999 (1996); Phys. Rev. A 54, 5299 (1996).
26. M.V. Berry and J. Goldberg, Nonlinearity 1, 1 (1988).
27. M.V. Berry, I. Marzoli, and W.P. Schleich, Phys. World 14, 39 (2001). O. Friesch, I. Marzoli, and W.P. Schleich, New J. Phys. 2, 4.1 (2000).
28. M.V. Berry, I. Marzoli, and W.P. Schleich, Phys. World 14, 39 (2001). O. Friesch, I. Marzoli, and W.P. Schleich, New J. Phys. 2, 4.1 (2000).
29. S. Lang, Algebraic Number Theory, Addison-Wesley Press, New York 1970.