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Parallel multi-qubit evolution in the quantum non-demolition interaction protocol
Russian version
Bashmakova E. N. 1, Vashukevich E. A. 1, Golubeva T. Yu.1
1St. Petersburg State University, St. Petersburg, Russia
Email: bashmakova.elizaveta@mail.ru, vashukevichea@gmail.com
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To date, two-qubit quantum logic gates have become an essential part of quantum computing. The study of methods for their implementation is an important practical problem for various quantum optical and information applications. In this paper, we have considered a protocol for multimode quantum non-demolition interaction between an atomic ensemble and multimode light with orbital angular momentum in order to analyze the applicability of this protocol in discrete variables computing. We have developed a multimode interaction Hamiltonian and analyzed the dynamics of field and atomic variables depending on the structure of the driving field. We discuss in detail the procedure for separating qubit noninteracting subsystems on a set of atomic and field modes for various values of the orbital angular momentum of the driving field. Such a procedure helps to reduce the considered protocol to the parallel evolution of two-qubit closed systems. Keywords: quantum non-demolition interaction, Laguerre-Gaussian modes, orbital angular momentum, qubits, discrete variables.
  1. R. Raussendorf, D.E. Browne, H.J. Briegel. Phys. Rev. A, 68, 022312 (2003). DOI: 10.1103/PhysRevA.68.022312
  2. R. Ukai, N. Iwata, Y. Shimokawa, S.C. Armstrong, A. Politi, J. Yoshikawa, P. van Loock, A. Furusawa. Phys. Rev. Lett., 106 (24), 240504 (2011). DOI: 10.1103/PhysRevLett.106.240504
  3. P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, A. Zeilinger. Nature, 434, 169-176 (2005). DOI: 10.1038/nature03347
  4. R. Kaltenbaek, J. Lavoie, B. Zeng, S.D. Bartlett, K.J. Resch. Nat. Phys., 6(11), 850-854 (2010). DOI: 10.1038/nphys1777
  5. S.L. Braunstein, P. van Loock. Rev. Mod. Phys., 77, 513-577 (2005). DOI: 10.1103/RevModPhys.77.513
  6. N.C. Menicucci. Phys. Rev. Lett., 112, 120504 (2014). DOI: 10.1103/PhysRevLett.112.120504
  7. H. Vahlbruch, M. Mehmet, K. Danzmann, R. Schnabel. Phys. Rev. Lett., 117, 110801 (2016). DOI: 10.1103/PhysRevLett.117.110801
  8. R.K. Brylinski, G. Chen. Mathematics of Quantum Computation (CRC Press, Inc., New York, 2002), 448. DOI: 10.1201/9781420035377
  9. E.A. Vashukevich, E.N. Bashmakova, T.Yu. Golubeva, Yu.M. Golubev. Laser Physics Letters, 19(2), 025202 (2022). DOI: 10.1088/1612-202x/ac45b2
  10. L. Allen, M.W. Beijersbergen, R.J.C. Spreeuw, J.P. Woerdman. Phys. Rev. A, 45, 8185 (1992). DOI: 10.1103/PhysRevA.45.8185
  11. S. Franke-Arnold, S.M. Barnett, M.J. Padgett, L. Allen. Phys. Rev. A, 65, 033823 (2002). DOI: 10.1103/PhysRevA.65.033823
  12. S. Li, S. Chen, C. Gao, A.E. Willner, J. Wang. Opt. Commun., 408, 68 (2018). DOI: 10.1103/PhysRevA.99.023805
  13. N.R. Heckenberg, R. McDuff, C.P. Smith, A.G. White. Opt. Lett., 17, 221 (1992). DOI: 10.1364/ol.17.000221
  14. E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, E. Santamato. Appl. Phys. Lett., 94, 231124 (2009). DOI: 10.1063/1.3154549
  15. M. Beijersbergen, L. Allen, H. van der Veen, J. Woerdman. Opt. Commun., 96, 123 (1993). DOI: 10.1016/0030-4018(93)90535-D
  16. A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, A. Zeilinger. Phys. Rev. Lett., 119, 180510 (2017). DOI: 10.1103/PhysRevLett.119.180510
  17. X. Gao, M. Krenn, J. Kysela, A. Zeilinger. Phys. Rev. A, 99, 023825 (2019). DOI: 10.1103/PhysRevA.99.023825
  18. E.A. Vashukevich, T.Y. Golubeva, Y.M. Golubev. Phys. Rev. A, 101(3), 033830 (2020). DOI: 10.1103/PhysRevA.101.033830
  19. R.L. Phillips, L.C. Andrews. Appl. Opt., 22(5), 643-644 (1983). DOI: 10.1364/ao.22.000643
  20. K. Hammerer, A.S. Sorensen, E.S. Polzik. Rev. Mod. Phys., 82, 1041-1093 (2010). DOI: 10.1103/RevModPhys.82.1041
  21. T. Holstein, H. Primakoff. Phys. Rev., 58, 1098 (1940). DOI: 10.1103/PhysRev.58.1098.

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