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Quantum Query Complexity for Some Graph Problems

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SOFSEM 2004: Theory and Practice of Computer Science (SOFSEM 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2932))

Abstract

The paper [4] by H. Buhrman and R. de Wolf contains an impressive survey of solved and open problems in quantum query complexity, including many graph problems. We use recent results by A.Ambainis [1] to prove higher lower bounds for some of these problems. Some of our new lower bounds do not close the gap between the best upper and lower bounds. We prove in these cases that it is impossible to provide a better application of Ambainis’ technique for these problems.

Research supported by Grant No.01.0354 from the Latvian Council of Science

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References

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia

    Aija Berzina, Andrej Dubrovsky, Rusins Freivalds, Lelde Lace & Oksana Scegulnaja

Authors
  1. Aija Berzina
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  2. Andrej Dubrovsky
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  3. Rusins Freivalds
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  4. Lelde Lace
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  5. Oksana Scegulnaja
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Editor information

Editors and Affiliations

  1. Faculty of Sciences, ILLC - Department of Mathematics and Computer Science, University of Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands

    Peter Van Emde Boas

  2. Faculty of Mathematics and Physics, Charles University, Prague

    Jaroslav PokornĂ˝

  3. Institute of Informatics and Software Engineering Faculty of Informatics and Information technologies, Slovak University of Technology, IlkoviÄŤova 3, 842 16, Bratislava

    Mária Bieliková

  4. Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod Vodárenskou věží 2, 182 07, Prague 8 Czech Republic

    JĂşlius Ĺ tuller

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© 2004 Springer-Verlag Berlin Heidelberg

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Berzina, A., Dubrovsky, A., Freivalds, R., Lace, L., Scegulnaja, O. (2004). Quantum Query Complexity for Some Graph Problems. In: Van Emde Boas, P., Pokorný, J., Bieliková, M., Štuller, J. (eds) SOFSEM 2004: Theory and Practice of Computer Science. SOFSEM 2004. Lecture Notes in Computer Science, vol 2932. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24618-3_11

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  • DOI: https://doi.org/10.1007/978-3-540-24618-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20779-5

  • Online ISBN: 978-3-540-24618-3

  • eBook Packages: Springer Book Archive

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