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Do multipartite correlations speed up adiabatic quantum computation or quantum annealing?

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Abstract

Quantum correlations are thought to be the reason why certain quantum algorithms overcome their classical counterparts. Since the nature of this resource is still not fully understood, we shall investigate how multipartite entanglement and non-locality among qubits vary as the quantum computation runs. We shall encounter that quantum measures on the whole system cannot account for their corresponding speedup.

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Acknowledgments

J. Batle acknowledges fruitful discussions with J. Rosselló, Maria del Mar Batle and Regina Batle. R. O. acknowledges support from High Impact Research MoE Grant UM.C/625/1/HIR/MoE/CHAN/04 from the Ministry of Education Malaysia. Also, J. Batle is grateful to the anonymous referees who provided a great insight into the correction of the final manuscript.

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Authors and Affiliations

  1. Departament de Física, Universitat de les Illes Balears, 07122, Palma de Mallorca, Balearic Islands, Spain

    J. Batle

  2. Institute of Physics, Academia Sinica, Taipei, 115, Taiwan

    J. Batle

  3. Department of Physics, University of Malaya, 50603, Kuala Lumpur, Malaysia

    C. H. Raymond Ooi

  4. Information Technology Department, Al-Zahra College for Women, 3365, Muscat, Oman

    Ahmed Farouk

  5. Department of Physics, Faculty of Science, King Abdulaziz University Jeddah, Al Faisaliah Campus, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    M. Abutalib & S. Abdalla

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  1. J. Batle
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Batle, J., Ooi, C.H.R., Farouk, A. et al. Do multipartite correlations speed up adiabatic quantum computation or quantum annealing?. Quantum Inf Process 15, 3081–3099 (2016). https://doi.org/10.1007/s11128-016-1324-x

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  • DOI: https://doi.org/10.1007/s11128-016-1324-x

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