Quantum Information Processing

, Volume 5, Issue 1, pp 25–30 | Cite as

Quantum Computation Violates Mirror Symmetry

  • Gregor W. Bayer

The CNOT gate is asymmetric with respect to parity. It requires interaction with the environment, and cannot be realized as an isolated quantum collision.


Quantum computation quantum gates mirror symmetry parity decoherence 


03.67.Lx 03.65.Ta 11.30.-j 75.45.+j 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Yu. V. Novozhilov, Introduction to Elementary Particle Theory, (Pergamon, 1996); M. Jacob and G. C. Wick, Ann. Phys. (N.Y.) 7, 404 (1959).Google Scholar
  2. 2.
    Galindo A. and Martin-Delgado M.A. (2002). Rev. Mod. Phys 74:347CrossRefADSMathSciNetGoogle Scholar
  3. 3.
    M. Ozawa, Phys. Rev. Lett. 89, 057902 (2002); D. A. Lidar, Phys. Rev. Lett. 91, 089801 (2003); M. Ozawa, Phys. Rev. Lett. 91, 089802 (2003).Google Scholar
  4. 4.
    M. Ozawa, in Proceedings of the Seventh International Conference on Quantum Communication, Measurement and Computing, Rinton Press, quant-ph/0411074.Google Scholar
  5. 5.
    D. G. Cory, R. Laflamme, E. Knill, L. Viola, T. F. Havel, N. Boulant, G. Boutis, E. Fortunato, S. Lloyd, R. Martinez, C. Negrevergne, M. Pravia, Y. Sharf, G. Teklemariam, Y. S. Weinstein, and W. H. Zurek, Fortschr. Phys. 48, 875 (2000), quant-ph/0004104Google Scholar
  6. 6.
    J. A. Jones, Prog. NMR Spectrosc. 38, 325 (2001), quant-ph/0009002.Google Scholar
  7. 7.
    R. Laflamme, E. Knill, D. G. Cory, E. M. Fortunata, T. Havel, C. Miquel, R. Martinez, C. Negrevergne, G. Oritz, M. A. Pravia, Y. Sharf, S. Sinha, R. Somma, and L. Viola, quant-ph/0207172Google Scholar
  8. 8.
    C. Ramanathan, N. Boulant, Z. Chen, D. G. Corey, I. Chuang, and M. Steffen, in Experimental Aspects of Quantum Computing, edited by H. O. Everitt (Springer, Berlin, 2005), p. 15, quant-ph/0408166Google Scholar
  9. 9.
    Berman G.P., Campbell D.K., Doolen G.D., Lopez G.V., Tsifrinovich V.I. (1997). Physica B 240:61CrossRefADSGoogle Scholar
  10. 10.
    R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, Vol. III (Addison-Wesley, 1965).Google Scholar
  11. 11.
    J. Kempe, D. Bacon, D. A. Lidar, and K. B. Whaley, Phys. Rev A 63, 042307 (2001); D. A. Lidar and K. B. Whaley, in Irreversible Quantum Dynamics, Vol. 622 of Lecture Notes in Physics, edited by F. Benatti and R. Floreanini (Springer, Berlin, 2003), p. 83, quant-ph/0301032Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Cedar HillUSA

Personalised recommendations