About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 520436, 6 pages
http://dx.doi.org/10.1155/2013/520436
Research Article

A Note on Sequential Product of Quantum Effects

School of Mathematics Science, South China Normal University, Guangzhou 510631, China

Received 29 May 2013; Revised 27 July 2013; Accepted 30 July 2013

Academic Editor: Ziemowit Popowicz

Copyright © 2013 Chunyuan Deng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Arias, A. Gheondea, and S. Gudder, “Fixed points of quantum operations,” Journal of Mathematical Physics, vol. 43, no. 12, pp. 5872–5881, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  2. S. Gudder and G. Nagy, “Sequential quantum measurements,” Journal of Mathematical Physics, vol. 42, no. 11, pp. 5212–5222, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  3. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge, UK, 2000. View at MathSciNet
  4. J. Shen and J. Wu, “Sequential product on standard effect algebra ε(H),” Journal of Physics A, vol. 42, no. 34, Article ID 345203, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  5. A. Gheondea and S. Gudder, “Sequential product of quantum effects,” Proceedings of the American Mathematical Society, vol. 132, no. 2, pp. 503–512, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  6. H.-K. Du and Y.-N. Dou, “A spectral characterization for generalized quantum gates,” Journal of Mathematical Physics, vol. 50, no. 3, Article ID 032101, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  7. H.-K. Du, Y.-N. Dou, H.-Y. Zhang, and L.-M. Shen, “A generalization of Gudder-Nagy's theorem with numerical ranges of operators,” Journal of Mathematical Physics, vol. 52, no. 2, Article ID 023501, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  8. S. Gudder, “An order for quantum observables,” Mathematica Slovaca, vol. 56, no. 5, pp. 573–589, 2006. View at MathSciNet
  9. S. Gudder and R. Greechie, “Sequential products on effect algebras,” Reports on Mathematical Physics, vol. 49, no. 1, pp. 87–111, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  10. Y. Li, X.-H. Sun, and Z.-L. Chen, “Generalized infimum and sequential product of quantum effects,” Journal of Mathematical Physics, vol. 48, no. 10, Article ID 102101, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  11. S. Gudder, “Sequential products of quantum measurements,” Reports on Mathematical Physics, vol. 60, no. 2, pp. 273–288, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  12. L. Y. Shmulyan, “An operator Hellinger integral,” Mat. Sb., vol. 49, pp. 381–430, 1959. View at MathSciNet
  13. Y.-Q. Wang, H.-K. Du, and Y.-N. Dou, “Note on generalized quantum gates and quantum operations,” International Journal of Theoretical Physics, vol. 47, no. 9, pp. 2268–2278, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  14. G. J. Murphy, C-algebras and operator theory, Academic Press Inc., New York, NY, USA, 1990. View at MathSciNet