Skip to main content
SpringerLink
Log in

On the role of the four-qubit state in two-qubit gate teleportation

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

The full analysis of quantum protocols requires the knowledge of the role of quantum states, bases of measurement and quantum gates involved. In what concerns the famous two-qubit quantum gate teleportation protocol, the role of the basis of measurement was considered in a recent work by Mendes and Ramos. In this work, we analyze the role of the four-qubit state used as resource. We show that the quantum two-qubit gate teleportation divides the set of pure four-qubit states in two classes. For one class, deterministic and probabilistic teleportation can be achieved, while for the other class, probabilistic remote two-qubit gate preparation is achieved.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

References

  1. Gottesman, D., Chuang, I.L.: Quantum teleportation is a universal computational primitive. Nature 402, 390 (1999)

    Article  ADS  Google Scholar 

  2. Saha, D., Nandan, S., Panigrahi, P.K.: Local implementations of non-local quantum gates in linear entangled channel. J. Quantum Inf. Sci. 4, 97 (2014)

    Article  Google Scholar 

  3. Mendes, F.V., Ramos, R.V.: On the role of the basis of measurement in quantum gate teleportation. Quantum Inf. Process. (2015). doi:10.1007/s11128-014-0898-4

    MathSciNet  MATH  Google Scholar 

  4. Luque, J.-G., Thibon, J.-Y.: Polynomial invariants of four qubits. Phys. Rev. A 67, 042303 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  5. Zha, X.-W., Ma, G.-L.: Classification of four-qubit states by means of a stochastic local operation and the classical communication invariant. Chin. Phys. Lett. 28(2), 020301 (2011)

    Article  ADS  Google Scholar 

  6. Oliveira, D.S., Ramos, R.V.: Residual entanglement with negativity for pure four-qubit quantum states. Quantum Inf. Process. 9, 497 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  7. Tucci, R.R.: An introduction to Cartan’s KAK decomposition for QC programmers (2005). arXiv:quant-ph/0507171

  8. Verstraete, F., Dehaene, J., De Moor, B., Verschelde, H.: Four qubits can be entangled in nine different ways. Phys. Rev. A 65, 052112 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  9. Yeo, Y., Chua, W.K.: Teleportation and dense coding with genuine multipartite entanglement. Phys. Rev. Lett. 96, 060502/1-4 (2006)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by the Brazilian agencies CAPES and CNPq via Grant No. 303514/2008-6. Also, this work was performed as part of the Brazilian National Institute of Science and Technology for Quantum Information.

Author information

Authors and Affiliations

  1. Laboratory of Quantum Information Technology, Department of Teleinformatic Engineering - Federal University of Ceara - DETI/UFC, C.P. 6007, Campus do Pici, Fortaleza, CE, 60455-970, Brazil

    P. R. M. Sousa, F. V. Mendes & R. V. Ramos

Authors
  1. P. R. M. Sousa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. V. Mendes
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. V. Ramos
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. V. Ramos.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sousa, P.R.M., Mendes, F.V. & Ramos, R.V. On the role of the four-qubit state in two-qubit gate teleportation. Quantum Inf Process 15, 2125–2135 (2016). https://doi.org/10.1007/s11128-015-1108-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11128-015-1108-8

Keywords

Search

Navigation