Home | About Journal | Web Links | E-mail Alerts | RSS RSS Icon | Browse

Complete positivity conditions for quantum qutrit channels

Source: Phys. Rev. A 80, 032322 (2009); doi:10.1103/PhysRevA.80.032322

Published 22 September 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.67.Hk
    Quantum communication
  • YEAR: 2009
PUBLICATION DATA
Publisher:
AIP is a member of CrossRef APS
Agata Checińska1 and Krzysztof Wódkiewicz1,2
1Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, Warszawa 00-681, Poland
2Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131-1156, USA
We present an analysis of complete positivity constraints on qutrit-qubit and qutrit-qutrit quantum channels that have a form of affine transformations of a generalized Bloch vector. We show that, in general, the complete positivity constraints for qutrit channels' parameters reveal nonlinearities and cannot be reduced to piecewise linear conditions defining a convex simplex. We discuss qutrit-qubit entanglement breaking channels and show Kraus representation for qutrit-qutrit damping channels. ©2009 The American Physical Society
History: Received 9 December 2008; published 22 September 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e032322

REFERENCES (28)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81, 865 (2009).
  2. J. K. Korbicz, M. L. Almeida, J. Bae, M. Lewenstein, and A. Acín, Phys. Rev. A 78, 062105 (2008).
  3. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976).
  4. F. Verstraete, J. I. Cirac, J. I. Latorre, E. Rico, and M. M. Wolf, Phys. Rev. Lett. 94, 140601 (2005).
  5. A. Sanpera, D. Bruss, and M. Lewenstein, Phys. Rev. A 63, 050301(R) (2001).
  6. M. S. Byrd and N. Khaneja, Phys. Rev. A 68, 062322 (2003).
  7. K. Dixit and E. C. G. Sudarshan, Phys. Rev. A 78, 032308 (2008).
  8. B. Baumgartner, B. C. Hiesmayr, and H. Narnhofer, Phys. Rev. A 74, 032327 (2006).
  9. S. Daffer, K. Wódkiewicz, and J. K. McIver, Phys. Rev. A 67, 062312 (2003).
  10. E. C. G. Sudarshan, P. M. Mathews, and J. Rau, Phys. Rev. 121, 920 (1961)
    11. T. F. Jordan and E. C. G. Sudarshan, J. Math. Phys. 2, 772 (1961)
    T. F. Jordan, M. A. Pinsky, and E. C. G. Sudarshan, ibid. 3, 848 (1962).
  11. A. Peres, Phys. Rev. Lett. 77, 1413 (1996).
  12. G. Vallone, E. Pomarico, F. De Martini, P. Mataloni, and M. Barbieri, Phys. Rev. A 76, 012319 (2007).
  13. B. P. Lanyon, T. J. Weinhold, N. K. Langford, J. L. O'Brien, K. J. Resch, A. Gilchrist, and A. G. White, Phys. Rev. Lett. 100, 060504 (2008).
  14. F. T. Hioe and J. H. Eberly, Phys. Rev. A 25, 2168 (1982).
ADVERTISEMENT