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Quantum communication protocols as a benchmark for programmable quantum computers

  • A. A. Zhukov
  • E. O. Kiktenko
  • A. A. Elistratov
  • W. V. Pogosov
  • Yu. E. Lozovik
Article
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Abstract

We point out that realization of quantum communication protocols in programmable quantum computers provides a deep benchmark for capabilities of real quantum hardware. Particularly, it is prospective to focus on measurements of entropy-based characteristics of the performance and to explore whether a “quantum regime” is preserved. We perform proof-of-principle implementations of superdense coding and quantum key distribution BB84 using 5- and 16-qubit superconducting quantum processors of IBM Quantum Experience. We focus on the ability of these quantum machines to provide an efficient transfer of information between distant parts of the processors by placing Alice and Bob at different qubits of the devices. We also examine the ability of quantum devices to serve as quantum memory and to store entangled states used in quantum communication. Another issue we address is an error mitigation. Although it is at odds with benchmarking, this problem is nevertheless of importance in a general context of quantum computation with noisy quantum devices. We perform such a mitigation and noticeably improve some results.

Keywords

Quantum computer Quantum communication protocol Quantum algorithms Superdense coding Quantum benchmark 

Notes

Acknowledgements

We acknowledge use of the IBM Quantum Experience for this work. The viewpoints expressed are those of the authors and do not reflect the official policy or position of IBM or the IBM Quantum Experience team. E. O. K. was supported by RFBR (Project No. 18-37-00096). W. V. P. acknowledges a support from RFBR (Project No. 15-02-02128). Yu. E. L. acknowledges a support from RFBR (Project No. 17-02-01134) and the Program of Basic Research of HSE.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Dukhov Research Institute of Automatics (VNIIA)MoscowRussia
  2. 2.National Research Nuclear University (MEPhI)MoscowRussia
  3. 3.Russian Quantum CenterMoscowRussia
  4. 4.Steklov Mathematical Institute of Russian Academy of SciencesMoscowRussia
  5. 5.Geoelectromagnetic Research Center of Schmidt Institute of Physics of the Earth, Russian Academy of SciencesMoscowRussia
  6. 6.Institute for Theoretical and Applied Electrodynamics, Russian Academy of SciencesMoscowRussia
  7. 7.Moscow Institute of Physics and TechnologyMoscow RegionRussia
  8. 8.Institute of Spectroscopy, Russian Academy of SciencesMoscowRussia
  9. 9.Moscow Institute of Electronics and MathematicsNational Research University Higher School of EconomicsMoscowRussia

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