Skip to main content
SpringerLink
Log in

A Qutrit Switch for Quantum Networks

  • Conference paper
  • First Online:
Computer Networks (CN 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 718))

Included in the following conference series:

  • 1052 Accesses

Abstract

The chapter contains information about a construction of quantum switch for qutrits. It is an expansion of the idea of quantum switch for qubits. For the networks based on quantum effects the switch could realize an operation of changing the direction of transferred information. A presented definition of quantum switch may be easily generalized to qudits. The chapter contains also the figures representing circuits realizing the quantum switch and a proof of its correctness. Additionally, there is an analysis of entanglement level in the circuit which also characterizes the correct operating of the switch.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M.: The selected problems of controllability of discrete-time switched linear systems with constrained switching rule. Bull. Pol. Acad. Sci. Tech. Sci. 63(3), 657–666 (2015). doi:10.1515/bpasts-2015-0077

    Google Scholar 

  2. Balakrishnan, S.: Various constructions of Qudit SWAP Gate. Phys. Res. Int. 2014, Article ID 479320 (2014)

    Google Scholar 

  3. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.: Teleporting an unknown quantum state via dual classical and EPR channels. Phys. Rev. Lett. 70, 1895–1899 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  4. Brüning, E., Petruccione, F.: Theoretical Foundations of Quantum Information Processing and Communication. Springer, Berlin (2010)

    Book  MATH  Google Scholar 

  5. Daboul, J., Wang, X., Sanders, B.C.: Quantum gates on hybrid qudits. J. Phys. A: Math. Gen. 36(10), 2525–2536 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Di, Y.M., Wei, H.R.: Synthesis of multivalued quantum logic circuits by elementary gates. Phys. Rev. A 87, 012325 (2013)

    Article  Google Scholar 

  7. Garcia-Escartin, J.C., Chamorro-Posada, P.: A SWAP gate for qudits. Quant. Inf. Process. 12(12), 3625–3631 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  8. Hayashi, M., Ishizaka, S., Kawachi, A., Kimura, G., Ogawa, T.: Introduction to Quantum Information Science. Springer, Berlin (2015)

    Book  MATH  Google Scholar 

  9. Klamka, J., Gawron, P., Miszczak, J., Winiarczyk, R.: Structural programming in quantum octave. Bull. Pol. Acad. Sci. Tech. Sci. 58(1), 77–88 (2010)

    Google Scholar 

  10. Kuppusamy, L., Mahendran, A.: Modelling DNA and RNA secondary structures using matrix insertion-deletion systems. Int. J. Appl. Math. Comput. Sci. 26(1), 245–258 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  11. Landau, A., Aharonov, Y., Cohen, E.: Realisation of Qudits in coupled potential wells. Int. J. Quant. Inf. 14(5), 1650029 (2016)

    Article  MATH  Google Scholar 

  12. Metodi, T.S., Thaker, D.D., Cross, A.W., Chong, F.T., Chuang, I.L.: A quantum logic array microarchitecture: scalable quantum data movement and computation. In: Proceedings of 38th Annual IEEE/ACM International Symposium on Microarchitecture, MICRO-38, p. 12 (2005)

    Google Scholar 

  13. Mohammadi, M.: Radix-independent, efficient arrays for multi-level n-qudit quantum and reversible computation. Quant. Inf. Process. 14, 2819–2832 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  14. Muralidharan, S., Li, L., Kim, J., Lütkenhaus, N., Lukin, M.D., Jiang, L.: Optimal architectures for long distance quantum communication. Sci. Rep. 6, Article no. 20463 (2016)

    Google Scholar 

  15. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, New York (2000)

    MATH  Google Scholar 

  16. Ratan, R., Shukla, M.K., Oruc, A.Y.: Quantum switching networks with classical routing. In: 2007 41st Annual Conference on Information Sciences and Systems, Baltimore, MD, pp. 789–793 (2007)

    Google Scholar 

  17. Schuld, M., Sinayskiy, I., Petruccione, F.: Quantum computing for pattern classification. In: Pham, D.-N., Park, S.-B. (eds.) PRICAI 2014. LNCS (LNAI), vol. 8862, pp. 208–220. Springer, Cham (2014). doi:10.1007/978-3-319-13560-1_17

    Google Scholar 

Download references

Acknowledgements

We would like to thank for useful discussions with the Q-INFO group at the Institute of Control and Computation Engineering (ISSI) of the University of Zielona Góra, Poland. We would like also to thank to anonymous referees for useful comments on the preliminary version of this paper. The numerical results were done using the hardware and software available at the “GPU \(\mu \)-Lab” located at the Institute of Control and Computation Engineering of the University of Zielona Góra, Poland.

Author information

Authors and Affiliations

  1. Institute of Information Systems, Faculty of Cybernetics, Military University of Technology, Kaliskiego 2, 00-908, Warsaw, Poland

    Joanna Wiśniewska

  2. Institute of Control and Computation Engineering, University of Zielona Góra, Licealna 9, Zielona Góra, 65-417, Poland

    Marek Sawerwain

Authors
  1. Joanna Wiśniewska
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marek Sawerwain
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Joanna Wiśniewska .

Editor information

Editors and Affiliations

  1. Silesian University of Technology, Gliwice, Poland

    Piotr Gaj

  2. Silesian University of Technology, Gliwice, Poland

    Andrzej Kwiecień

  3. Silesian University of Technology, Gliwice, Poland

    Michał Sawicki

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Wiśniewska, J., Sawerwain, M. (2017). A Qutrit Switch for Quantum Networks. In: Gaj, P., Kwiecień, A., Sawicki, M. (eds) Computer Networks. CN 2017. Communications in Computer and Information Science, vol 718. Springer, Cham. https://doi.org/10.1007/978-3-319-59767-6_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-59767-6_24

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59766-9

  • Online ISBN: 978-3-319-59767-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation