Skip to main content
Log in

Quantum Repeaters: Current Developments and Prospects

  • SURVEYS
  • Published:
Bulletin of the Lebedev Physics Institute Aims and scope Submit manuscript

Abstract

We describe principles of operation of a quantum repeater, i.e., a device designed to distribute entangled states of quantum systems over long distances. A review is presented of the latest achievements in the field of experimental implementation of its simplest version (a first-generation quantum repeater) and in the development of its key component (quantum memory). The immediate and long-term prospects for the development of studies in this area are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.

REFERENCES

  1. Kimble, H.J., Nature, 2008, vol. 453, p. 1023.

    Article  CAS  PubMed  ADS  Google Scholar 

  2. Wehner, S., Elkouss, D., and Hanson, R., Science, 2018, vol. 362, p. eaam9288.

  3. Fang, K., Zhao, J., Li, X., Li, Y., and Duan, R., Sci. China Inf. Sci., 2023, vol. 66, p. 180509.

  4. Zapatero, V., van Leent, T., Arnon-Friedman, R., et al., npj Quantum Inf., 9, 10 (2023).

  5. Cirac, J.I., Ekert, A.K., Huelga, S.F., et al., Phys. Rev. A, 1999, vol. 59, p. 4249.

    Article  MathSciNet  CAS  ADS  Google Scholar 

  6. Cuomo, D., Caleffi, M., and Cacciapuoti, A.S., IET Quantum Commun., 2020, vol. 1, p. 3.

    Article  Google Scholar 

  7. Broadbent, A., Fitzsimons, J., and Kashefi, E., Proc. the 50th Annual Symposium on Foundations of Computer Science (FOCS 2009), Atlanta, GA, 2009, pp. 517–526.

  8. Fitzsimons, J.F., npj Quantum Inf., 2017, vol. 3, p. 23.

  9. Jozsa, R., Abrams, D.S., Dowling, J.P., Williams, C.P., Phys. Rev. Lett., 2000, vol. 85, p. 2010.

    Article  CAS  PubMed  ADS  Google Scholar 

  10. Giovannetti, V., Lloyd, S., and Maccone, L., Nature, 2001, vol. 412, p. 417.

    Article  CAS  PubMed  ADS  Google Scholar 

  11. Kómár, P., Kessler, E., Bishof, M., Jiang, L., Sørensen, A.S., Ye, J., and Lukin, M.D., Nat. Phys., 2014, vol. 10, p. 582.

    Article  Google Scholar 

  12. Ge, W., Jacobs, K., Eldredge, Z., Gorshkov, A.V., and Foss-Feig, M., Phys. Rev. Lett., 2018, vol. 121, p. 043604.

  13. Zhuang, Q., Zhang, Z., and Shapiro, J.H., Phys. Rev. A, 2018, vol. 97, p. 032329.

  14. Gottesman, D., Jennewein, T., and Croke, S., Phys. Rev. Lett., 2012, vol. 109, p. 070503.

  15. Wootters, W.K. and Zurek, W.H., Nature, 1982, vol. 299, p. 802.

    Article  CAS  ADS  Google Scholar 

  16. Chen, Y.A., et al., Nature, 2021, vol. 589, p. 214.

    Article  CAS  PubMed  ADS  Google Scholar 

  17. Salvail, L., Peev, M., Diamanti, E., Alleaume, R., Lutkenhaus, N., and Laenger, T., J. Comput. Secur., 2010, vol. 18, p. 61.

    Article  Google Scholar 

  18. Briegel, H.-J., Dür, W., Cirac, J.I., and Zoller, P., Phys. Rev. Lett., 1998, vol. 81, p. 5932.

    Article  CAS  ADS  Google Scholar 

  19. Dür, W., Briegel, H.-J., Cirac, J.I., and Zoller, P., Phys. Rev. A, 1999, vol. 59, p. 169.

    Article  ADS  Google Scholar 

  20. Żukowski, M., Zeilinger, A., Horne, M.A., and Ekert, A.K., Phys. Rev. Lett., 1993, vol. 71, p. 4287.

    Article  PubMed  ADS  Google Scholar 

  21. Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., and Wootters, W.K., Phys. Rev. Lett., 1996, vol. 76, p. 722.

    Article  CAS  PubMed  ADS  Google Scholar 

  22. Deutsch, D., Ekert, A., Jozsa, R., Macchiavello, C., Popescu, S., and Sanpera, A., Phys. Rev. Lett., 1996, vol. 77, p. 2818.

    Article  CAS  PubMed  ADS  Google Scholar 

  23. Devitt, S.J., Munro, W.J., and Nemoto, K., Rep. Prog. Phys., 2013, vol. 76, p. 076001.

  24. Sangouard, N., Simon, C., de Riedmatten, H., and Gisin, N., Rev. Mod. Phys., 2011, vol. 83, p. 33.

    Article  ADS  Google Scholar 

  25. Munro, W.J., Azuma, K., Tamaki, K., and Nemoto, K., IEEE J. Select. Top. Quantum Electron., 2015, vol. 21, p. 78.

    Article  ADS  Google Scholar 

  26. Yan, P.-S., Zhou, L., Zhong, W., and Sheng, Y.-B., Europhys. Lett., 2021, vol. 136, p. 14001.

    Article  CAS  ADS  Google Scholar 

  27. Neuwirth, J., Basset, F.B., Rota, M.B., Roccia, E., Schimpf, C., Jöns, K.D., Rastelli, A., and Trotta, R., Mater. Quantum Technol., 2021, vol. 1, p. 043001.

  28. Wei, S.-H., Jing, B., Zhang, X.-Y., Liao, J.-Y., Yuan, C.-Z., Fan, B.-Y., Lyu, C., Zhou, D.-L., Wang, Y., Deng, G.-W., Song, H.-Z., Oblak, D., Guo, G.-C., and Zhou, Q., Laser Photonics Rev., 2022, vol. 16, p. 2100219.

  29. Azuma, K., Economou, S.E., Elkouss, D., Hilaire, P., Jiang, L., Lo, H.-K., and Tzitrin, I., 2022, ArXiv: 2212.10820.

  30. Muralidharan, S., Li, L., Kim, J., Lütkenhaus, N., Lukin, M.D., and Jiang, L., Sci. Rep., 2016, vol. 6, p. 20463.

    Article  CAS  PubMed  PubMed Central  ADS  Google Scholar 

  31. Muralidharan, S., Kim, J., Lütkenhaus, N., Lukin, M.D., and Jiang, L., Phys. Rev. Lett., 2014, vol. 112, p. 250501.

  32. Bernardes, N.K., Praxmeyer, L., and van Loock, P., Phys. Rev. A, 2011, vol. 83, p. 012323.

  33. Shchukin, E., Schmidt, F., and van Loock, P., Phys. Rev. A, 2019, vol. 100, p. 032322.

  34. Collins, O.A., Jenkins, S.D., Kuzmich, A., and Kennedy, T.A.B., Phys. Rev. Lett., 2007, vol. 98, p. 060502.

  35. Azuma, K., Bäuml, S., Coopmans, T., Elkouss, D., and Li, B., Quantum Sci., 2021, vol. 3, p. 014101.

  36. Coopmans, T., Brand, S., and Elkouss, D., Phys. Rev. A, 2022, vol. 105, p. 012608.

  37. Childress, L., Taylor, J.M., Sorensen, A.S., and Lukin, M.D., Phys. Rev. A, 2005, vol. 72, p. 052330.

  38. Childress, L., Taylor, J.M., Sorensen, A.S., and Lukin, M.D., Phys. Rev. Lett., 2006, vol. 96, p. 070504.

  39. Sangouard, N., Dubessy, R., and Simon, C., Phys. Rev. A, 2009, vol. 79, p. 042340.

  40. Asadi, F.K., Lauk, N., Wein, S., Sinclair, N., O’Brien, C., and Simon, C., Quantum, 2018, vol. 2, p. 93.

    Article  Google Scholar 

  41. Calsamiglia, J. and Lütkenhaus, N., Appl. Phys. B, 2001, vol. 72, p. 67.

    Article  CAS  ADS  Google Scholar 

  42. Lee, S.-W., Ralph, T.C., and Jeong, H., Phys. Rev. A, 2019, vol. 100, p. 052303.

  43. Sinclair, N., Saglamyurek, E., Mallahzadeh, H., Slater, J.A., George, M., Ricken, R., Hedges, M.P., Oblak, D., Simon, C., Sohler, W., and Tittel, W., Phys. Rev. Lett., 2014, vol. 113, p. 053603.

  44. Sangouard, N., Simon, C., Minar, J., Zbinden, H., de Riedmatten, H., and Gisin, N., Phys. Rev. A, 2007, vol. 76, p. 050301.

  45. Duan, L.-M., Lukin, M., Cirac, J.I., and Zoller, P., Nature, 2001, vol. 414, p. 413.

    Article  CAS  PubMed  ADS  Google Scholar 

  46. Pirandola, S., Commun. Phys., 2019, vol. 2, p. 51.

    Article  Google Scholar 

  47. Pirandola, S., Laurenza, R., Ottaviani, C., and Banchi, L., Nat. Commun., 2017, vol. 8, p. 15043.

    Article  PubMed  PubMed Central  ADS  Google Scholar 

  48. Wu, Y., Liu, J., and Simon, C., Phys. Rev. A, 2020, vol. 101, p. 042301.

  49. Shchukin, E. and van Loock, P., Phys. Rev. Lett., 2022, vol. 128, p. 150502.

  50. Kamin, L., Shchukin, E., Schmidt, F., and van Loock, P., Phys. Rev. Res., 2023, vol. 5, p. 023086.

  51. Wallnöfer, J., Melnikov, A.A., Dür, W., and Briegel, H.J., Phys. Rev. X: Quantum, 2020, vol. 1, p. 010301.

  52. Haldar, S., Barge, P.J., Khatri, S., and Lee, H., 2023, ArXiv: 2303.00777.

  53. Werner, R.F., Phys. Rev. A, 1989, vol. 40, p. 4277.

    Article  CAS  ADS  Google Scholar 

  54. Razavi, M., Piani, M., and Lütkenhaus, N., Phys. Rev. A, 2009, vol. 80, p. 032301.

  55. Jiang, L., Taylor, J.M., Khaneja, N., and Lukin, M.D., Proc. Natl. Acad. Sci. U.S.A., 2007, vol. 104, p. 17291.

    Article  CAS  PubMed  PubMed Central  ADS  Google Scholar 

  56. Brand, S., Coopmans, T., and Elkouss, D., IEEE J. Sel. Areas Commun., 2020, vol. 38, p. 619.

    Article  Google Scholar 

  57. Chehimi, M., Pouryousef, S., Panigrahy, N.K., Towsley, D., and Saad, W., 2023, ArXiv: 2305.08696.

  58. Wallnöfer, J., Hahn, F., Wiesner, F., Walk, N., and Eisert, J., 2022, ArXiv: 2212.03896.

  59. Simon, C., de Riedmatten, H., Afzelius, M., Sangouard, N., Zbinden, H., and Gisin, N., Phys. Rev. Lett., 2007, vol. 98, p. 190503.

  60. Munro, W., Harrison, K., Stephens, A., Devitt, S.J., and Nemoto, K., Nat. Photonics, 2010, vol. 4, p. 792.

    Article  CAS  ADS  Google Scholar 

  61. Van Dam, S.B., Humphreys, P.C., Rozpędek, F., Wehner, S., and Hanson, R., Quantum Sci. Technol., 2017, vol. 2, p. 034002.

  62. Chou, C.-W., Laurat, J., Deng, H., Choi, K.S., de Riedmatten, H., Felinto, D., and Kimble, H.J., Science, 2007, vol. 316, p. 1316.

    Article  CAS  PubMed  ADS  Google Scholar 

  63. Yuan, Z.-S., Chen, Y.-A., Zhao, B., Chen, S., Schmiedmayer, J., and Pan, J.-W., Nature, 2008, vol. 454, p. 1098.

    Article  CAS  PubMed  ADS  Google Scholar 

  64. Yu, Y., Ma, F., Luo, X.-Y., Jing, B., Sun, P.-F., Fang, R.-Z., Yang, C.-W., Liu, H., Zheng, M.-Y., Xie, X.-P., Zhang, W.-J., You, L.-X., Wang, Z., Chen, T.-Y., Zhang, Q., Bao, X.-H., and Pan, J.-W., Nature, 2020, vol. 578, p. 240.

    Article  CAS  PubMed  ADS  Google Scholar 

  65. Li, H., Dou, J.-P., Pang, X.-L., Yang, T.-H., Zhang, C.-N., Chen, Y., Li, J.-M., Walmsley, I.A., and Jin, X.-M., Optica, 2021, vol. 8, p. 925.

    Article  ADS  Google Scholar 

  66. Zhang, C., Huang, Y.-F., Liu, B.-H., Li, C.-F., and Guo, G.-C., Adv. Quantum Technol., 2021, vol. 4, p. 2000132.

  67. Anwar, A., Perumangatt, C., Steinlechner, F., Jennewein, T., and Ling, A., Rev. Sci. Instrum., 2021, vol. 92, p. 041101.

  68. Guo, M., et al., Front. Phys., 2023, vol. 18, p. 21303.

    Article  ADS  Google Scholar 

  69. Lei, Y., Asadi, F.K., Zhong, T., Kuzmich, A., Simon, C., and Hosseini, M., 2023, ArXiv: 2304.09397.

  70. Slattery, O., Ma, L., Zong, K., and Tang, X., J. Res. Nat. Inst. Stand. Technol., 2019, vol. 124, p. 124019.

  71. Usmani, I., Afzelius, M., de Riedmatten, H., and Gisin, N., Nat. Commun., 2010, vol. 1, p. 12.

    Article  PubMed  ADS  Google Scholar 

  72. Bonarota, M., Le Gouët, J.-L., and Chanelière, T., New J. Phys., 2011, vol. 13, p. 013013.

  73. Clausen, C., Usmani, I., Bussières, F., Sangouard, N., Afzelius, M., de Riedmatten, H., and Gisin, N., Nature, 2011, vol. 469, p. 508.

    Article  CAS  PubMed  ADS  Google Scholar 

  74. Saglamyurek, E., Sinclair, N., Jin, J., Slater, J.A., Oblak, D., Bussières, F., George, M., Ricken, R., Sohler, W., and Tittel, W., Nature, 2011, vol. 469, p. 512.

    Article  CAS  PubMed  ADS  Google Scholar 

  75. Lago-Rivera, D., Grandi, S., Rakonjac, J.V., Seri, A., and de Riedmatten, H., Nature, 2021, vol. 594, p. 37.

    Article  CAS  PubMed  ADS  Google Scholar 

  76. Liu, X., Hu, J., Li, Z.-F., Li, X., Li, P.-Y., Liang, P.-J., Zhou, Z.-Q., Li, C.-F., and Guo, G.-C., Nature, 2021, vol. 594, p. 41.

    Article  CAS  PubMed  ADS  Google Scholar 

  77. Zhao, B., Chen, Z.-B., Chen, Y.-A., Schmiedmayer, J., and Pan, J.-W., Phys. Rev. Lett., 2007, vol. 98, p. 240502.

  78. Xu, P., Yong, H.-L., Chen, L.-K., Liu, C., Xiang, T., Yao, X.-C., Lu, H., Li, Z.-D., Liu, N.-L., Li, L., Yang, T., Peng, C.-Z., Zhao, B., Chen, Y.-A., and Pan, J.-W., Phys. Rev. Lett., 2017, vol. 119, p. 170502.

  79. Pu, Y.-F., Zhang, S., Wu, Y.-K., Jiang, N., Chang, W., Li, C., and Duan, L.-M., Nat. Photonics, 2021, vol. 15, p. 374.

    Article  CAS  ADS  Google Scholar 

  80. Businger, M., Nicolas, L., Mejia, T.S., Ferrier, A., Goldner, P., and Afzelius, M., Nat. Commun., 2022, vol. 13, p. 1.

    Article  Google Scholar 

  81. Yang, T.-S., Zhou, Z.-Q., Hua, Y.-L., Liu, X., Li, Z.-F., Li, P.-Y., Ma, Y., Liu, C., Liang, P.-J., Li, X., Xiao, Y.-X., Hu, J., Li, C.-F., and Guo, G.-C., Nat. Commun., 2018, vol. 9, p. 3407.

    Article  PubMed  PubMed Central  ADS  Google Scholar 

  82. Seri, A., Lago-Rivera, D., Lenhard, A., Corrielli, G., Osellame, R., Mazzera, M., and de Riedmatten, H., Phys. Rev. Lett., 2019, vol. 123, p. 080502.

  83. Liu, H., Wang, M., Jiao, H., Lu, J., Fan, W., Li, S., and Wang, H., Opt. Express, 2023, vol. 31, p. 7200.

    Article  CAS  PubMed  ADS  Google Scholar 

  84. Reiserer, A., Rev. Mod. Phys., 2022, vol. 94, p. 041003.

  85. Kalb, N., Reiserer, A.A., Humphreys, P.C., Bakermans, J.J.W., Kamerling, S.J., Nickerson, N.H., Benjamin, S.C., Twitchen, D.J., Markham, M., and Hanson, R., Science, 2017, vol. 356, p. 928.

    Article  MathSciNet  CAS  PubMed  ADS  Google Scholar 

  86. Moehring, D.L., Maunz, P., Olmschenk, S., Younge, K.C., Matsukevich, D.N., Duan, L.-M., and Monroe, C., Nature, 2007, vol. 449, p. 68.

    Article  CAS  PubMed  ADS  Google Scholar 

  87. Slodička, L., Hétet, G., Röck, N., Schindler, P., Hennrich, M., and Blatt, R., Phys. Rev. Lett., 2013, vol. 110, p. 083603.

  88. Krutyanskiy, V., Canteri, M., Meraner, M., Bate, J., Krcmarsky, V., Schupp, J., Sangouard, N., and Lanyon, B.P., Phys. Rev. Lett., 2023, vol. 130, p. 213601.

  89. Hofmann, J., Krug, M., Ortegel, N., Gérard, L., Weber, M., Rosenfeld, W., and Weinfurter, H., Science, 2012, vol. 337, p. 72.

    Article  CAS  PubMed  ADS  Google Scholar 

  90. Ritter, S., Nölleke, C., Hahn, C., Reiserer, A., Neuzner, A., Uphoff, M., Mücke, M., Figueroa, E., Bochmann, J., and Rempe, G., Nature, 2012, vol. 484, p. 195.

    Article  CAS  PubMed  ADS  Google Scholar 

  91. Langenfeld, S., Thomas, P., Morin, O., and Rempe, G., Phys. Rev. Lett., 2021, vol. 126, p. 230506.

  92. Van Leent, T., Bock, M., Fertig, F., Garthoff, R., Eppelt, S., Zhou, Y., Malik, P., Seubert, M., Bauer, T., Rosenfeld, W., Zhang, W., Becher, C., and Weinfurter, H., Nature, 2022, vol. 607, p. 69.

    Article  CAS  PubMed  PubMed Central  ADS  Google Scholar 

  93. Bernien, H., Hensen, B., Pfaff, W., Koolstra, G., Blok, M.S., Robledo, L., Taminiau, T.H., Markham, M., Twitchen, D.J., Childress, L., and Hanson, R., Nature, 2013, vol. 497, p. 86.

    Article  CAS  PubMed  ADS  Google Scholar 

  94. Hensen, B., Bernien, H., Dréau, A.E., Reiserer, A., Kalb, N., Blok, M.S., Ruitenberg, J., Vermeulen, R.F.L., Schouten, R.N., Abellán, C., Amaya, W., Pruneri, V., Mitchell, M.W., Markham, M., Twitchen, D.J., Elkouss, D., Wehner, S., Taminiau, T.H., and Hanson, R., Nature, 2015, vol. 526, p. 682.

    Article  CAS  PubMed  ADS  Google Scholar 

  95. Humphreys, P.C., Kalb, N., Morits, J.P.J., Schouten, R.N., Vermeulen, R.F.L., Twitchen, D.J., Markham, M., and Hanson, R., Nature, 2018, vol. 558, p. 268.

    Article  CAS  PubMed  ADS  Google Scholar 

  96. Pompili, M., Hermans, S.L.N., Baier, S., Beukers, H.K.C., Humphreys, P.C., Schouten, R.N., Vermeulen, R.F.L., Tiggelman, M.J., dos Santos Martins, L., Dirkse, B., Wehner, S., and Hanson, R., Science, 2021, vol. 372, p. 259.

    Article  CAS  PubMed  ADS  Google Scholar 

  97. Delteil, A., Sun, Z., Gao, Wb., Togan, E., Faelt, S., and Imamoğlu, A., Nat. Phys., 2016, vol. 12, p. 218.

    Article  CAS  Google Scholar 

  98. Stockill, R., Stanley, M.J., Huthmacher, L., Clarke, E., Hugues, M., Miller, A.J., Matthiesen, C., Le Gall, C., and Atatüre, M., Phys. Rev. Lett., 2017, vol. 119, p. 010503.

  99. Saffman, M., Walker, T.G., and Mølmer, K., Rev. Mod. Phys., 2010, vol. 82, p. 2313.

    Article  CAS  ADS  Google Scholar 

  100. Adams, C.S., et al., J. Phys. B: At. Mol. Opt. Phys., 2020, vol. 53, p. 012002.

  101. Yanglin Hu, Zhelun Zhang, and Biao Wu, Chin. Phys. B, 2021, vol. 30, p. 020308.

  102. Han, Y., He, B., Heshami, K., Li, C.-Z., and Simon, C., Phys. Rev. A, 2010, vol. 81, p. 052311.

  103. Zhao, B., Mueller, M., Hammerer, K., and Zoller, P., Phys. Rev. A, 2010, vol. 81, p. 052329.

  104. Rozpędek, F., Yehia, R., Goodenough, K., Ruf, M., Humphreys, P.C., Hanson, R., Wehner, S., and Elkouss, D., Phys. Rev. A, 2019, vol. 99, p. 052330.

  105. Abruzzo, S., Kampermann, H., and Bruß, D., Phys. Rev. A, 2014, vol. 89, p. 012301.

  106. Panayi, C., Razavi, M., Ma, X., and Lütkenhaus, N., New J. Phys., 2014, vol. 16, p. 043005.

  107. Luong, D., Jiang, L., Kim, J., and Lütkenhaus, N., Appl. Phys. B, 2016, vol. 122, p. 96.

    Article  ADS  Google Scholar 

  108. Bhaskar, M.K., Riedinger, R., Machielse, B., Levonian, D.S., Nguyen, C.T., Knall, E.N., Park, H., Englund, D., Lončar, M., Sukachev, D.D., and Lukin, M.D., Nature, 2019, vol. 5, p. 60.

    Google Scholar 

  109. Boone, K., Bourgoin, J.-P., Meyer-Scott, E., Heshami, K., Jennewein, T., and Simon, C., Phys. Rev., 2015, vol. 91, p. 052325.

  110. Gündoğan, M., Sidhu, J.S., Henderson, V., Mazzarella, L., Wolters, J., Oi, D.K.L., and Krutzik, M., npj Quantum Inf., 2021, vol. 7, p. 128.

  111. Liorni, C., Kampermann, H., and Bruß, D., New J. Phys., 2021, vol. 23, p. 053021.

  112. Wallnöfer, J., Hahn, F., Gündoğan, M., Sidhu, J.S., Wiesner, F., Walk, N., Eisert, J., and Wolters, J., Commun. Phys., 2022, vol. 5, p. 169.

    Article  Google Scholar 

  113. Hsiao, Y.-F., Tsai, P.-J., Chen, H.-S., Lin, S.-X., Hung, C.-C., Lee, C.-H., Chen, Y.-H., Chen, Y.-F., Yu, I. A., and Chen, Y.-C., Phys. Rev. Lett., 2018, vol. 120, p. 183602.

  114. Wang, Y., Li, J., Zhang, S., Su, K., Zhou, Y., Liao, K., Du, S., Yan, H., and Zhu, S.-L., Nat. Photonics, 2019, vol. 13, p. 346.

    Article  CAS  ADS  Google Scholar 

  115. Cao, M., Hoffet, F., Qiu, S., Sheremet, A.S., and Laurat, J., Optica, 2020, vol. 7, p. 1440.

    Article  ADS  Google Scholar 

  116. Hedges, M., Longdell, J., Li, Y., and Sellars, M., Nature, 2010, vol. 465, p. 1052.

    Article  CAS  PubMed  ADS  Google Scholar 

  117. Hosseini, M., Sparkes, B., Campbell, G., Lam, P.K., and Buchler, B.C., Nat. Commun., 2011, vol. 2, p. 174.

    Article  CAS  PubMed  ADS  Google Scholar 

  118. Sabooni, M., Li, Q., Kröll, S., and Rippe, L., Phys. Rev. Lett., 2013, vol. 110, p. 133604.

  119. Sparkes, B., Bernu, J., Hosseini, M., Geng, J., Glorieux, Q., Altin, P. A., Lam, P.K., Robins, N.P., and Buchler, B.C., New J. Phys., 2013, vol. 15, p. 085027.

  120. Jobez, P., Usmani, I., Timoney, N., Laplane, C., Gisin, N., and Afzelius, M., New J. Phys., 2014, vol. 16, p. 083005.

  121. Cho, Y.-W., Campbell, G.T., Everett, J.L., Bernu, J., Higginbottom, D.B., Cao, M.T., Geng, J., Robins, N.P., Lam, P.K., and Buchler, B.C., Optica, 2016, vol. 3, p. 100.

    Article  CAS  ADS  Google Scholar 

  122. Duranti, S., Wengerowsky, S., Feldmann, L., Seri, A., Casabone, B., and de Riedmatten, H., 2023, ArXiv: 2307.03509.

  123. Guo, J., Feng, X., Yang, P., Yu, Z., Chen, L.Q., Yuan, C.-H., and Zhang, W., Nat. Commun., 2019, vol. 10, p. 148.

    Article  PubMed  PubMed Central  ADS  Google Scholar 

  124. England, D.G., Fisher, K.A.G., MacLean, J.-P.W., Bustard, P.J., Lausten, R., Resch, K.J., and Sussman, B.J., Phys. Rev. Lett., 2015, vol. 114, p. 053602.

  125. Reim, K., Michelberger, P., Lee, K., Nunn, J., Langford, N.K., and Walmsley, I.A., Phys. Rev. Lett., 2011, vol. 107, p. 053603.

  126. England, D.G., Michelberger, P.S., Champion, T.F.M., Reim, K.F., Lee, K.C., Sprague, M.R., Jin, X.-M., Langford, N.K., Kolthammer, W.S., Nunn, J., and Walmsley, I.A., J. Phys. B: At. Mol. Opt. Phys., 2012, vol. 45, p. 124008.

  127. Thiel, C., Böttger, T., and Cone, R., J. Lumin., 2011, vol. 131, p. 353.

    Article  CAS  Google Scholar 

  128. Thiel, C., Sun, Y., Macfarlane, R., Böttger, T., and Cone, R.L., J. Phys. B: At. Mol. Opt. Phys., 2012, vol. 45, p. 124013.

  129. Popova, M., Opt. Spektrosc., 2015, vol. 119, p. 544.

    Article  CAS  ADS  Google Scholar 

  130. Probst, S., Rotzinger, H., Ustinov, A., and Bushev, P., Phys. Rev. B, 2015, vol. 92, p. 014421.

  131. Wolfowicz, G., Maier-Flaig, H., Marino, R., Ferrier, A., Vezin, H., Morton, J.J.L., and Goldner, P., Phys. Rev. Lett., 2015, vol. 114, p. 170503.

  132. Xiang, Z.-L., Ashhab, S., You, J., and Nori, F., Rev. Mod. Phys., 2013, vol. 85, p. 623.

    Article  CAS  ADS  Google Scholar 

  133. Yang, W., Wang, Z.-Y., and Liu, R.-B., Front. Phys., 2011, vol. 6, p. 2.

    Article  CAS  ADS  Google Scholar 

  134. Fraval, E., Sellars, M., and Longdell, J., Phys. Rev. Lett., 2004, vol. 92, p. 077601.

  135. Longdell, J., Alexander, A., and Sellars, M., Phys. Rev. A, 2006, vol. 74, p. 195101.

  136. Zhong, M., Hedges, M., Ahlefeldt, R., Bartholomew, J.G., Beavan, S.E., Wittig, S.M., Longdell, J.J., and Sellars, M.J., Nature, 2015, vol. 517, p. 177.

    Article  CAS  PubMed  ADS  Google Scholar 

  137. Kukharchyk, N., Sholokhov, D., Morozov, O., Korableva, S.L., Kalachev, A.A., and Bushev, P.A., New J. Phys., 2018, vol. 20, p. 023044.

  138. Craiciu, I., Lei, M., Rochman, J., Kindem, J.M., Bartholomew, J.G., Miyazono, E., Zhong, T., Sinclair, N., and Faraon, A., Phys. Rev. Appl., 2019, vol. 12, p. 024062.

  139. Li, P.-Y., Huang, J.-Y., Zhu, T.-X., Liu, C., Liu, D.-C., Zhou, Z.-Q., Li, C.-F., and Guo, G.-C., J. Lumin., 2020, vol. 225, p. 117344.

  140. Fukumori, R., Huang, Y., Yang, J., Zhang, H., and Zhong, T., Phys. Rev. B, 2020, vol. 101, p. 214202.

  141. Gupta, S., Wu, X., Zhang, H., Yang, J., and Zhong, T., Phys. Rev. Appl., 2023, vol. 19, p. 044029.

  142. Kukharchyk, N., Sholokhov, D., Morozov, O., Korableva, S.L., Kalachev, A.A., and Bushev, P.A., Opt. Express, 2020, vol. 28, p. 29166.

    Article  CAS  PubMed  ADS  Google Scholar 

  143. Kukharchyk, N., Sholokhov, D., Morozov, O., Korableva, S.L., Cole J.H., Kalachev, A.A., and Bushev, P.A., Opt. Lett., 2018, vol. 43, p. 935.

    Article  CAS  PubMed  ADS  Google Scholar 

  144. Katz, O. and Firstenberg, O., Nat. Commun., 2018, vol. 9, p. 2074.

    Article  PubMed  PubMed Central  ADS  Google Scholar 

  145. Katz, O., Shaham, R., and Firstenberg, O., Sci. Adv., 2021, vol. 7, p. eabe9164.

  146. Dudin, Y.O., Li, L., and Kuzmich, A., Phys. Rev. A, 2013, vol. 87, p. 031801.

  147. Heinze, G., Hubrich, C., and Halfmann, T., Phys. Rev. Lett., 2013, vol. 111, p. 033601.

  148. Ma, Y., Ma, Y.-Z., Zhou, Z.-Q., Li, C.-F., and Guo, G.-C., Nat. Commun., 2021, vol. 12, p. 2381.

    Article  CAS  PubMed  PubMed Central  ADS  Google Scholar 

  149. Yang, S.-J., Wang, X.-J., Bao, X.-H., and Pan, J.-W., Nat. Photonics, 2016, vol. 10, p. 384.

    ADS  Google Scholar 

  150. Cho, Y.W., Campbell, G.T., Everett, J.L., Bernu, J., Higginbottom, D.B., Cao, M.T., Geng, J., Robins, N.P., Lam, P.K., and Buchler, B.C., Optica, 2016, vol. 3, p. 100.

    Article  CAS  ADS  Google Scholar 

  151. Ortu, A., Holzäpfel, A., Etesse, J., and Afzelius, M., npj Quantum Inf., 2022, vol. 8, p. 29.

  152. Longdell, J., Fraval, E., Sellars, M.J., and Manson, N.B., Phys. Rev. Lett., 2005, vol. 95, p. 063601.

  153. Holzäpfel, A., Etesse, J., Kaczmarek, K.T., Tiranov, A., Gisin, N., and Afzelius, M., New J. Phys., 2020, vol. 22, p. 063009.

  154. Ruf, M., Wan, N.H., Choi, H., Englund, D., and Hanson, R., J. Appl. Phys., 2021, vol. 130, p. 070901.

  155. Stas, P.J., Huan, Y.Q., Machielse, B., Knall, E.N., Suleymanzade, A., Pingault, B., Sutula, M., Ding, S.W., Knaut, C.M., Assumpcao, D.R., Wei, Y.-C., Bhaskar, M.K., Riedinger, R., Sukachev, D.D., Park, H., Lončar, M., Levonian, D.S., and Lukin, M.D., Science, 2022, vol. 378, p. 557.

    Article  CAS  PubMed  ADS  Google Scholar 

  156. Tan, T.R., Gaebler, J.P., Lin, Y., Wan, Y., Bowler, R., Leibfried, D., and Wineland, D.J., Nature, 2015, vol. 528, p. 380.

    Article  CAS  PubMed  ADS  Google Scholar 

  157. Inlek, I.V., Crocker, C., Lichtman, M., Sosnova, K., and Monroe, C., Phys. Rev. Lett., 2017, vol. 118, p. 250502.

  158. Wang, P., Luan, C.-Y., Qiao, M., Um, M., Zhang, J., Wang, Y., Yuan, X., Gu, M., Zhang, J., and Kim, K., Nat. Commun., 2021, vol. 12, p. 233.

    Article  PubMed  PubMed Central  Google Scholar 

  159. Santra, S., Muralidharan, S., Lichtman, M., Jiang, L., Monroe, C., and Malinovsky, V.S., New J. Phys., 2019, vol. 21, p. 073002.

  160. Khatri, S., Brady, A.J., Desporte, R.A., Bart, M.P., and Dowling, J.P., npj Quantum Inf., 2021, vol. 7, p. 4.

  161. Wan, N.H., Lu, T.-J., Chen, K.C., Walsh, M.P., Trusheim, M.E., de Santis, L., Bersin, E.A., Harris, I.B., et al., Nature, 2020, vol. 583, p. 226.

    Article  CAS  PubMed  ADS  Google Scholar 

  162. Seri, A., Lago-Rivera, D., Corrielli, G., Lenhard, A., Osellame, R., Mazzera, M., and de Riedmatten, H., Phys. Rev. Lett., 2019, vol. 123, p. 080502.

  163. Keil, M., Amit, O., Zhou, S., Groswasser, D., Japha, Y., and Folman, R., J. Mod. Opt., 2016, vol. 63, p. 1840.

    Article  PubMed  PubMed Central  ADS  Google Scholar 

  164. Zugenmaier, M., Dideriksen, K.B., Sørensen, A.S., Albrecht, B., and Polzik, E.S., Commun. Phys., 2018, vol. 1, p. 76.

    Article  Google Scholar 

  165. Dideriksen, K.B., Schmieg, R., Zugenmaier, M., and Polzik, E.S., Nat. Commun., 2021, vol. 12, p. 3699.

    Article  CAS  PubMed  PubMed Central  ADS  Google Scholar 

  166. Ji, J.-W., Asadi, F.K., Heshami, K., and Simon, C., Phys. Rev. Appl., 2023, vol. 19, p. 054063.

Download references

Funding

The work was supported by JSC Russian Railways.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Kalachev.

Ethics declarations

The author of this work declares that he has no conflicts of interest.

Additional information

Translated by I. Ulitkin

Publisher’s Note.

Allerton Press remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

The paper was prepared on the basis of materials presented at the XLVII Vavilov Readings on Luminescence, dedicated to the 132nd birthday of academician S.I. Vavilov (April 12, 2023, Lebedev Physical Institute of the Russian Academy of Sciences). Since the work is actually a report, its genre does not correspond to a canonical scientific article; in fact, here are “written down thoughts” accompanied by some arguments.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kalachev, A. Quantum Repeaters: Current Developments and Prospects. Bull. Lebedev Phys. Inst. 50 (Suppl 12), S1312–S1329 (2023). https://doi.org/10.3103/S1068335623602212

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068335623602212

Keywords:

Navigation