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Exact Quantum Query Complexity of \(\text {EXACT}_{k,l}^n\)

  • Andris Ambainis
  • Jānis IraidsEmail author
  • Daniel Nagaj
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10139)

Abstract

In the exact quantum query model a successful algorithm must always output the correct function value. We investigate the function that is true if exactly k or l of the n input bits given by an oracle are 1. We find an optimal algorithm (for some cases), and a nontrivial general lower and upper bound on the minimum number of queries to the black box.

Notes

Acknowledgements

This research was supported by the ERC Advanced Grant MQC, Latvian State Research Programme NexIT Project No. 1, EU FP7 project QALGO, the People Programme (Marie Curie Actions) EU’s 7th Framework Programme under REA grant agreement No. 609427, Slovak Academy of Sciences, and the Slovak Research and Development Agency grant APVV-14-0878 QETWORK.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Faculty of ComputingUniversity of LatviaRigaLatvia
  2. 2.Institute of PhysicsSlovak Academy of SciencesBratislavaSlovakia

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