Cubic phase gate operation to decrease the error of two-mode transformations
Zinatullin E. R. 1, Korolev S. B. 1,2, Golubeva T. Yu.1
1St. Petersburg State University, St. Petersburg, Russia
2South Ural State University (National Research University), Chelyabinsk, Russia
Email: e.r.zinatullin@mail.ru, sergey.koroleev@gmail.com, tania.golubeva@gmail.com

PDF
The paper considers a strategy to decrease the error of the two-mode entanglement transformation Controlled-Z by introducing non-Gaussian nodes in the cluster. Non-Gaussian nodes are obtained by using a cubic phase gate. We have shown that this strategy can significantly decrease the transformation error. The considered implementation of the Controlled-Z operation contains a teleportation scheme with the cubic phase gate. We have shown that the correct selection of phases during measurement allows for lower errors than in the initial teleportation protocol with the cubic phase gate and the original teleportation protocol. Keywords: one-way quantum computation, continuous variables, two-mode operations, cubic phase gate, non-Gaussian transformations, teleportation.
  1. N.C. Menicucci, P. van Loock, M. Gu, C. Weedbrook, T.C. Ralph, M.A. Nielsen. Phys. Rev. Lett. 97, 110501 (2006). DOI: 10.1103/PhysRevLett.97.110501
  2. R. Raussendorf, H.J. Briegel. Phys. Rev. Lett. 86, 5188 (2001). DOI: 10.1103/PhysRevLett.86.5188
  3. M.A. Nielsen. Reports on Mathematical Physics 57, 147 (2006). DOI: 10.1016/S0034-4877(06)80014-5
  4. S. Yokoyama, R. Ukai, S.C. Armstrong, C. Sornphiphatphong, T. Kaji, S. Suzuki, J.-i. Yoshikawa, H. Yonezawa, N.C. Menicucci, A. Furusawa. Nat. Photon. 7, 982 (2013). DOI: 10.1038/nphoton.2013.287
  5. J. Roslund, R.M. de Araujo, S. Jiang, C. Fabre, N. Treps. Nat. Photon. 8, 109 (2014). DOI: 10.1038/nphoton.2013.340
  6. M. Chen, N.C. Menicucci, O. Pfister. Phys. Rev. Lett. 112, 120505 (2014). DOI: 10.1103/PhysRevLett.112.120505
  7. J.-i. Yoshikawa, S. Yokoyama, T. Kaji, C. Sornphiphatphong, Y. Shiozawa, K. Makino, A. Furusawa. APL Photon. 1, 060801 (2016). DOI: 10.1063/1.4962732
  8. M.V. Larsen, X. Guo, C.R. Breum, J.S. Neergaard-Nielsen, U.L. Andersen. Science 366, 369 (2019). DOI: 10.1126/science.aay4354
  9. W. Asavanant, Y. Shiozawa, S. Yokoyama, B. Charoensombutamon, H. Emura, R.N. Alexander, S. Takeda, J.-i. Yoshikawa, N.C. Menicucci, H. Yonezawa, A. Furusawa. Science 366, 373 (2019). DOI: 10.1126/science.aay2645
  10. H. Vahlbruch, M. Mehmet, K. Danzmann, R. Schnabel. Phys. Rev. Lett. 117, 110801 (2016). DOI: 10.1103/PhysRevLett.117.110801
  11. N.C. Menicucci. Phys. Rev. Lett. 112, 120504 (2014). DOI: 10.1103/PhysRevLett.112.120504
  12. E.R. Zinatullin, S.B. Korolev, A.D. Manukhova, T.Yu. Golubeva. Phys. Rev. A 106, 032414 (2022). DOI: 10.1103/PhysRevA.106.032414
  13. D. Gottesman, A. Kitaev, J. Preskill. Phys. Rev. A 64, 012310 (2001). DOI: 10.1103/PhysRevA.64.012310
  14. S. Lloyd, S.L. Braunstein. Phys. Rev. Lett. 82, 1784 (1999). DOI: 10.1103/PhysRevLett.82.1784
  15. S.L. Braunstein, P. van Loock. Rev. Mod. Phys. 77, 513 (2005). DOI: 10.1103/RevModPhys.77.513
  16. M.V. Larsen, J.S. Neergaard-Nielsen, U.L. Andersen. Phys. Rev. A 102, 042608 (2020). DOI: 10.1103/PhysRevA.102.042608
  17. D. Su, C. Weedbrook, K. Bradler. Phys. Rev. A 98, 042304 (2018). DOI: 10.1103/PhysRevA.98.042304
  18. R.N. Alexander, S.C. Armstrong, R. Ukai, N.C. Menicucci. Phys. Rev. A 90, 062324 (2014). DOI: 10.1103/PhysRevA.90.062324
  19. A.T. Rezakhani. Phys. Rev. A 70, 052313 (2004). DOI: 10.1103/PhysRevA.70.052313
  20. S.B. Korolev, T.Yu. Golubeva, Yu.M. Golubev. Laser Phys. Lett. 17, 055205 (2020). DOI: 10.1088/1612-202X/ab83ff
  21. P. van Loock, C. Weedbrook, M. Gu. Phys. Rev. A 76, 032321 (2007). DOI: 10.1103/PhysRevA.76.032321
  22. M. Gu, C. Weedbrook, N.C. Menicucci, T.C. Ralph, P. van Loock. Phys. Rev. A 79, 062318 (2009). DOI: 10.1103/PhysRevA.79.062318
  23. E.R. Zinatullin, S.B. Korolev, T.Yu. Golubeva. Phys. Rev. A 103, 062407 (2021). DOI: 10.1103/PhysRevA.103.062407
  24. E.R. Zinatullin, S.B. Korolev, T.Yu. Golubeva. Phys. Rev. A 104, 032420 (2021). DOI: 10.1103/PhysRevA.104.032420
  25. S.B. Korolev, T.Yu. Golubeva, Yu.M. Golubev. Laser Phys. Lett. 17, 035207 (2020). DOI: 10.1088/1612-202X/ab6ffe
  26. M. Yukawa, K. Miyata, H. Yonezawa, P. Marek, R. Filip, A. Furusawa. Phys. Rev. A 88, 053816 (2013). DOI: 10.1103/PhysRevA.88.053816
  27. M. Kudra, M. Kervinen, I. Strandberg, S. Ahmed, M. Scigliuzzo, A. Osman, D.P. Lozano, M.O. Tholen, R. Borgani, D.B. Haviland, G. Ferrini, J. Bylander, A.F. Kockum, F. Quijandri a, P. Delsing, S. Gasparinetti. PRX Quantum 3, 030301 (2022). DOI: 10.1103/PRXQuantum.3.030301
  28. S. Ghose, B.C. Sanders. J. Mod. Opt. 54, 855 (2007). DOI: 10.1080/09500340601101575
  29. Y. Zheng, O. Hahn, P. Stadler, P. Holmvall, F. Quijandri a, A. Ferraro, G. Ferrini. PRX Quantum 2, 010327 (2021). DOI: 10.1103/PRXQuantum.2.010327
  30. W. Asavanant, K. Takase, K. Fukui, M. Endo, J.-i. Yoshikawa, A. Furusawa. Phys. Rev. A 103, 043701 (2021). DOI: 10.1103/PhysRevA.103.043701
  31. K. Marshall, R. Pooser, G. Siopsis, C. Weedbrook. Phys. Rev. A 91, 032321 (2015). DOI: 10.1103/PhysRevA.91.032321
  32. K. Miyata, H. Ogawa, P. Marek, R. Filip, H. Yonezawa, J.-i. Yoshikawa, A. Furusawa. Phys. Rev. A 93, 022301 (2016). DOI: 10.1103/PhysRevA.93.022301
  33. R. Yanagimoto, T. Onodera, E. Ng, L.G. Wright, P.L. McMahon, H. Mabuchi. Phys. Rev. Lett. 124, 240503 (2020). DOI: 10.1103/PhysRevLett.124.240503
  34. T. Hillmann, F. Quijandri a, G. Johansson, A. Ferraro, S. Gasparinetti, G. Ferrini. Phys. Rev. Lett. 125, 160501 (2020). DOI: 10.1103/PhysRevLett.125.160501
  35. S. Konno, A. Sakaguchi, W. Asavanant, H. Ogawa, M. Kobayashi, P. Marek, R. Filip, J.-i. Yoshikawa, A. Furusawa. Phys. Rev. Applied 15, 024024 (2021). DOI: 10.1103/PhysRevApplied.15.024024

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.

Publisher:

Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245
E-mail: post@mail.ioffe.ru