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European Conference on Genetic Programming

EuroGP 2019: Genetic Programming pp 19–34Cite as

Quantum Program Synthesis: Swarm Algorithms and Benchmarks

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 11451)

Abstract

In the two decades since Shor’s celebrated quantum algorithm for integer factorisation, manual design has failed to produce the anticipated growth in the number of quantum algorithms. Hence, there is a great deal of interest in the automatic synthesis of quantum circuits and algorithms. Here we present a set of experiments which use Ant Programming to automatically synthesise quantum circuits. In the proposed approach, ants choosing paths in high-dimensional Cartesian space are analogous to transformation of qubits in Hilbert space. In addition to the proposed algorithm, we introduce new evaluation criteria for searching the space of quantum circuits, both for classical simulation and simulation on a quantum computer. We demonstrate that the proposed approach significantly outperforms random search on a suite of benchmark problems based on these new measures.

Keywords

  • Quantum algorithms
  • Ant Programming

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Acknowledgements

T. Atkinson and J. Swan acknowledge the support of EPSRC grant EP/J017515/1.

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Authors and Affiliations

  1. Department of Computer Science, University of York, York, UK

    Timothy Atkinson, Athena Karsa & Jerry Swan

  2. School of Electronic Engineering and Computer Science, Queen Mary University of London, London, UK

    John Drake

Authors
  1. Timothy Atkinson
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  2. Athena Karsa
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  4. Jerry Swan
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Corresponding author

Correspondence to Timothy Atkinson .

Editor information

Editors and Affiliations

  1. Brno University of Technology, Brno, Czech Republic

    Lukas Sekanina

  2. Memorial University, St. John's, NL, Canada

    Ting Hu

  3. University of Coimbra, Coimbra, Portugal

    Nuno Lourenço

  4. HTWK Leipzig University of Applied Sciences, Leipzig, Germany

    Hendrik Richter

  5. University of Granada, Granada, Spain

    Pablo García-Sánchez

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Atkinson, T., Karsa, A., Drake, J., Swan, J. (2019). Quantum Program Synthesis: Swarm Algorithms and Benchmarks. In: Sekanina, L., Hu, T., Lourenço, N., Richter, H., García-Sánchez, P. (eds) Genetic Programming. EuroGP 2019. Lecture Notes in Computer Science(), vol 11451. Springer, Cham. https://doi.org/10.1007/978-3-030-16670-0_2

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  • DOI: https://doi.org/10.1007/978-3-030-16670-0_2

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