A review on super dense coding over covariant noisy
channels

• Authors: Z. Shadman , H. Kampermann , C. Macchiavello , D. Bruß
• Languages of publication: EN

Abstracts

EN

We study the performance of the super dense coding protocol
in the presence of quantum channels with covariant noise.
We first consider the bipartite case and review in a unified
way the case of general Pauli channels. We discuss both the
cases of unitary and non-unitary encoding. We also study
the multipartite scenario and investigate the case of many
senders and one receiver.

Keywords

EN

quantum entanglement; quantum channels; super dense coding

• Publisher: Versita
• Journal: Quantum Measurements and Quantum Metrology
• Year: 2013
• Volume: 1
• Pages: 21-33

Dates

online

07 - 06 - 2013

accepted

12 - 5 - 2013

received

27 - 11 - 2012

Contributors

author

Z. Shadman

• Centre for Quantum Technologies
  National University of Singapore, Block S15, 3 Science Drive 2,
  117543 Singapore, Singapore
• Institute für Theoretische Physik III,
  Heinrich-Heine-Universität, universitätsstraße1,
  Gebäude 25.32, D-40225 Düsseldorf, Germany

author

H. Kampermann

• Institute für Theoretische Physik III,
  Heinrich-Heine-Universität, universitätsstraße1,
  Gebäude 25.32, D-40225 Düsseldorf, Germany

author

C. Macchiavello

• Dipartimento di Fisica and INFM-Unit´a di Pavia
  Via Bassi 6, 27100 Pavia, Italy

author

D. Bruß

• Institute für Theoretische Physik III,
  Heinrich-Heine-Universität, universitätsstraße1,
  Gebäude 25.32, D-40225 Düsseldorf, Germany

References

• [1] C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69,2881 (1992).
• [2] T. Hiroshima, J. Phys. A Math. Gen. 34, 6907 (2001).
• [3] D. Bruß, G. M. D’Ariano, M. Lewenstein, C. Macchiavello,A. Sen(De), and U. Sen, Phys. Rev. Lett. 93,210501 (2004).
• [4] D. Bruß, G. M. D’Ariano, M. Lewenstein, C. Macchiavello,A. Sen(De), and U. Sen, Int. J. Quant. Inform.4, 415 (2006).
• [5] Z. Shadman, H. Kampermann, C. Macchiavello, andD. Bruß, New J. Phys. 12, 073042 (2010).
• [6] Z. Shadman, H. Kampermann, D. Bruß, and C. Macchiavello,Phys. Rev. A 84, 042309 (2011).
• [7] C. Macchiavello and G. M. Palma, Phys. Rev. A 65,050301(R) (2002).
• [8] C. Macchiavello, G. M. Palma, and S. Virmani, Phys.Rev. A 69, 010303(R) (2004).
• [9] E. Karpov, D. Daems, and N. J. Cerf, Phys. Rev. A 74,032320 (2006).
• [10] S. Bose, V. Vedral, and P. L. Knight, Phys. Rev. A 57,822 (1998).
• [11] Z. Shadman, H. Kampermann, D. Bruß, and C. Macchiavello,Phys. Rev. A 85, 052306 (2012).
• [12] J. P. Gordon, in Proc. Int. School. Phys. "Enrico Fermi,Course XXXI", ed. P.A. Miles, 156 (1964).
• [13] L. B. Levitin, Inf. Theory, Tashkent, pp. 111 (1969).
• [14] A. S. Holevo, Prol. Inf. Transm. 9, 110 (1973).
• [15] A. S. Holevo, IEEE Trans. Inf. Theory 44, 269-273(1998).
• [16] B. Schumacher, and M. D. Westmoreland, Phys. Rev.A 56, 131-138 (1997).
• [17] M. Ziman, and V. Bužek, Phys. Rev. A 67, 042321(2003).
• [18] M. Horodecki and M. Piani, quant-ph/0701134v2.
• [19] M. Horodecki, P. Horodecki, R. Horodecki, D. W. Leung,and B. Terhal, Quantum Inf. Comput. 70 (2001).
• [20] A. Winter, J. Math. Phys. 43, 4341 (2002).
• [21] C. King, IEEE Transactions on Information Theory 49,221- 229 (2003).
• [22] I. Bengtsson and K. Zyczkowski, Geometry of quantumstates: an introducton to quantum entanglement,Cambridge University Press (2006).

Identifiers

DOI

10.2478/qmetro-2013-0004