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The Role of Classical Computation in Measurement-Based Quantum Computation

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Logic and Theory of Algorithms (CiE 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5028))

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Abstract

Measurement-based quantum computation (MBQC) is an important model of quantum computation, which has delivered both new insights and practical advantages. In measurement-based quantum computation, more specifically the “one-way model” of computation, the computation proceeds in the following way. A large number of quantum bits (qubits) are prepared in a special entangled state called a cluster state. The qubits are then measured in a particular basis and particular order, the measurements are adaptive, some bases depending on the outcome of previous measurements. A classical control computer processes the measurement results in order to feed forward the bases for future measurements. In this paper we focus on the role played by the classical computer in this model and investigate some of its properties.

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References

  1. Raussendorf, R., Briegel, H.: Phys. Rev. Lett.  86, 5188 (2001)

    Google Scholar 

  2. Raussendorf, R., Briegel, H.: Quantum. Inform. Compu. 2, 443 (2002)

    Google Scholar 

  3. Raussendorf, R., Browne, D., Briegel, H.: Phys. Rev. A 68, 022312 (2003)

    Google Scholar 

  4. Browne, D.E., Briegel, H.J.: One-way Quantum Computation - a tutorial introduction. In: Bruss, D., Leuchs, G. (eds.). Lectures on Quantum Information (2006)

    Google Scholar 

  5. Nielsen, M.: Rep. Math. Phys. 57, 147 (2006)

    Google Scholar 

  6. Jozsa, R.: Measurement-based quantum computation. In: Angelakis, D.G. (ed.) Quantum Information Processing - From Theory to Experiment (2006)

    Google Scholar 

  7. van den Nest, M., Miyake, A., Dür, W., Briegel, H.J.: Phys. Rev. Lett.  97, 150504 (2006)

    Google Scholar 

  8. van den Nest, M., Dür, W., Miyake, A., Briegel, H.J.: New. J Phys.  9, 204 (2007)

    Google Scholar 

  9. Gross, D., Eisert, J., Schuch, N., Perez-Garcia, D.: Phys. Rev. A.  76 (2007)

    Google Scholar 

  10. Gross, D., Eisert, J.: Phys. Rev. Lett. 98, 220503 (2007)

    Google Scholar 

  11. Aaronson, S., Kuperberg, G.: The Complexity Zoo (accessed 10th March 2008), http://qwiki.stanford.edu/wiki/Complexity_Zoo

  12. Damm, C.: Inform. Process. Lett. 36, 247 (1990)

    Google Scholar 

  13. Aaronson, S., Gottesman, D.: Phys. Rev. A 70, 052328 (2004)

    Google Scholar 

  14. Danos, V., Kashefi, E.: Phys. Rev. A 74, 052310 (2006)

    Google Scholar 

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Arnold Beckmann Costas Dimitracopoulos Benedikt Löwe

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© 2008 Springer-Verlag Berlin Heidelberg

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Browne, D., Anders, J. (2008). The Role of Classical Computation in Measurement-Based Quantum Computation. In: Beckmann, A., Dimitracopoulos, C., Löwe, B. (eds) Logic and Theory of Algorithms. CiE 2008. Lecture Notes in Computer Science, vol 5028. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69407-6_10

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  • DOI: https://doi.org/10.1007/978-3-540-69407-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69405-2

  • Online ISBN: 978-3-540-69407-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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