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Execution of Fredkin gate by a set of free fermions

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Abstract

It is not a trivial task to answer whether a free fermion-based architecture for a quantum computer can efficiently execute basic gates such as the Fredking gate. We show that a set of free fermions can efficiently execute Fredkin gate.

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References

  1. B Roy, P Goswami and V Juricic, Phys. Rev. B 97, 205117 (2018)

    Article  ADS  Google Scholar 

  2. E Mascot, S Cocklin, S Rachel and D K Morr, arXiv:1811.06664

  3. IBM QX, https://quantumexperience.ng.bluemix.net/qx

  4. Rigetti QPU, https://www.rigetti.com

  5. T E O’Brien, P Rozek and A R Akhmerov, Phys. Rev. Lett. 120, 220504 (2018)

    Article  ADS  Google Scholar 

  6. A Osterloh, L Amico, G Falci and R Fazio, Nature (London) 416, 608 (2002)

    Article  ADS  Google Scholar 

  7. T J Osborne and M A Nielsen, Phys. Rev. A 66, 032110 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  8. G Vidal, J I Latorre, E Rico and A Kitaev, Phys. Rev. Lett. 90, 227901 (2003)

    Article  ADS  Google Scholar 

  9. B Q Jin and V E Korepin, J. Stat. Phys. 116, 79 (2004)

    Article  ADS  Google Scholar 

  10. M Fannes, B Haegemann and M Mosonyi, J. Math. Phys. 44, 6005 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  11. J P Keating and F Mezzadri, Commun. Math. Phys. 252, 543 (2004)

    Article  ADS  Google Scholar 

  12. V Popkov and M Salerno, Phys. Rev. A 71, 012301 (2005)

    Article  ADS  Google Scholar 

  13. V Eisler and Z Zimboras, Phys. Rev. A 71, 042318 (2005)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Technologico de Estudios Superiores de Chalco, Tlapala, 56600, Chalco, Edo. Mex., Mexico

    F Soberanes

  2. Centro Universitario UAEM Valle de Chalco, María Isabel, 56615, Valle de Chalco, Edo. Mex., Mexico

    M Ávila

Authors
  1. F Soberanes
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  2. M Ávila
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Correspondence to M Ávila.

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Soberanes, F., Ávila, M. Execution of Fredkin gate by a set of free fermions. Pramana - J Phys 94, 71 (2020). https://doi.org/10.1007/s12043-020-1931-z

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  • DOI: https://doi.org/10.1007/s12043-020-1931-z

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