Quantum repeaters with individual rare-earth ions at telecommunication wavelengths

F. Kimiaee Asadi, N. Lauk, S. Wein, N. Sinclair, C. O'Brien, and C. Simon

Institute for Quantum Science and Technology, and Department of Physics & Astronomy, University of Calgary, 2500 University Drive NW, Calgary, Alberta T2N 1N4, Canada

We present a quantum repeater scheme that is based on individual erbium and europium ions. Erbium ions are attractive because they emit photons at telecommunication wavelength, while europium ions offer exceptional spin coherence for long-term storage. Entanglement between distant erbium ions is created by photon detection. The photon emission rate of each erbium ion is enhanced by a microcavity with high Purcell factor, as has recently been demonstrated. Entanglement is then transferred to nearby europium ions for storage. Gate operations between nearby ions are performed using dynamically controlled electric-dipole coupling. These gate operations allow entanglement swapping to be employed in order to extend the distance over which entanglement is distributed. The deterministic character of the gate operations allows improved entanglement distribution rates in comparison to atomic ensemble-based protocols. We also propose an approach that utilizes multiplexing in order to enhance the entanglement distribution rate.

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[1] T. Jennewein and B. Higgins, Physics World 26, 52 (2013).

[2] P. Komar, E. M. Kessler, M. Bishof, L. Jiang, A. S. Sørensen, J. Ye, and M. D. Lukin, Nat. Phys. 10, 582 (2014).

[3] D. Gottesman, T. Jennewein, and S. Croke, Phys. Rev. Lett. 109, 070503 (2012).

[4] H. J. Kimble, Nature 453, 1023 (2008).

[5] C. Simon, Nat. Photonics 11, 678– (2017).

[6] H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 81, 5932 (1998).

[7] N. Sangouard, C. Simon, H. de Riedmatten, and N. Gisin, Rev. Mod. Phys. 83, 33 (2011).

[8] W. P. Grice, Phys. Rev. A 84, 042331 (2011).

[9] S. Wein, K. Heshami, C. A. Fuchs, H. Krovi, Z. Dutton, W. Tittel, and C. Simon, Phys. Rev. A 94, 032332 (2016).

[10] N. Sangouard, R. Dubessy, and C. Simon, Phys. Rev. A 79, 042340 (2009).

[11] S. Ritter, C. Nolleke, C. Hahn, A. Reiserer, A. Neuzner, M. Uphoff, M. Mucke, E. Figueroa, J. Bochmann, and G. Rempe, Nature 484, 195 (2012).

[12] A. Reiserer and G. Rempe, Rev. Mod. Phys. 87, 1379 (2015).

[13] H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. Blok, L. Robledo, T. Taminiau, M. Markham, D. Twitchen, L. Childress, et al., Nature 497, 86 (2013).

[14] B. Hensen, H. Bernien, A. E. Dreau, A. Reiserer, N. Kalb, M. S. Blok, J. Ruitenberg, R. F. L. Vermeulen, R. N. Schouten, C. Abellan, W. Amaya, V. Pruneri, M. W. Mitchell, M. Markham, D. J. Twitchen, D. Elkouss, S. Wehner, T. H. Taminiau, and R. Hanson, Nature 526, 682 (2015).

[15] D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, Nature 449, 68 (2007).

[16] L. Slodička, G. Hétet, N. Röck, P. Schindler, M. Hennrich, and R. Blatt, Phys. Rev. Lett. 110, 083603 (2013).

[17] K. J. Morse, R. J. Abraham, A. DeAbreu, C. Bowness, T. S. Richards, H. Riemann, N. V. Abrosimov, P. Becker, H.-J. Pohl, M. L. Thewalt, et al., Science advances 3, e1700930 (2017).

[18] A. Delteil, Z. Sun, W. Gao, E. Togan, S. Faelt, and A. Imamoglu, Nat. Phys. 12, 218 (2016).

[19] R. Stockill, M. J. Stanley, L. Huthmacher, E. Clarke, M. Hugues, A. J. Miller, C. Matthiesen, C. Le Gall, and M. Atatüre, Phys. Rev. Lett. 119, 010503 (2017).

[20] W. Tittel, M. Afzelius, T. Chaneliere, R. L. Cone, S. Kröll, S. A. Moiseev, and M. Sellars, Laser & Photonics Rev. 4, 244 (2010).

[21] F. Bussières, N. Sangouard, M. Afzelius, H. de Riedmatten, C. Simon, and W. Tittel, J. Mod. Opt. 60, 1519 (2013).

[22] S. Wu, G. Han, D. J. Milliron, S. Aloni, V. Altoe, D. V. Talapin, B. E. Cohen, and P. J. Schuck, Proc. Natl. Acad. Sci. 106, 10917 (2009).

[23] Y. Chu, N. de Leon, B. Shields, B. Hausmann, R. Evans, E. Togan, M. J. Burek, M. Markham, A. Stacey, A. Zibrov, A. Yacoby, D. Twitchen, M. Loncar, H. Park, P. Maletinsky, and M. Lukin, Nano Letters 14, 1982 (2014).

[24] D. Brunner, B. D. Gerardot, P. A. Dalgarno, G. Wüst, K. Karrai, N. G. Stoltz, P. M. Petroff, and R. J. Warburton, Science 325, 70 (2009).

[25] R. G. Neuhauser, K. T. Shimizu, W. K. Woo, S. A. Empedocles, and M. G. Bawendi, Phys. Rev. Lett. 85, 3301 (2000).

[26] R. de Sousa and S. Das Sarma, Phys. Rev. B 68, 115322 (2003).

[27] K. Xia, R. Kolesov, Y. Wang, P. Siyushev, R. Reuter, T. Kornher, N. Kukharchyk, A. D. Wieck, B. Villa, S. Yang, and J. Wrachtrup, Phys. Rev. Lett. 115, 093602 (2015).

[28] B. Lauritzen, J. Minář, H. De Riedmatten, M. Afzelius, N. Sangouard, C. Simon, and N. Gisin, Phys. Rev. Lett. 104, 080502 (2010).

[29] M. Afzelius, I. Usmani, A. Amari, B. Lauritzen, A. Walther, C. Simon, N. Sangouard, J. Minář, H. De Riedmatten, N. Gisin, et al., Phys. Rev. Lett. 104, 040503 (2010).

[30] G. Heinze, C. Hubrich, and T. Halfmann, Phys. Rev. Lett. 111, 033601 (2013).

[31] C. Laplane, P. Jobez, J. Etesse, N. Gisin, and M. Afzelius, Phys. Rev. Lett. 118, 210501 (2017).

[32] M. Zhong, M. P. Hedges, R. L. Ahlefeldt, J. G. Bartholomew, S. E. Beavan, S. M. Wittig, J. J. Longdell, and M. J. Sellars, Nature 517, 177 (2015a).

[33] T. Zhong, J. M. Kindem, J. G. Bartholomew, J. Rochman, I. Craiciu, V. Verma, S. W. Nam, F. Marsili, M. D. Shaw, A. D. Beyer, et al., arXiv preprint arXiv:1803.07520 (2018).

[34] A. M. Dibos, M. Raha, C. M. Phenicie, and J. D. Thompson, Phys. Rev. Lett. 120, 243601 (2018).

[35] R. Kolesov, K. Xia, R. Reuter, R. Stöhr, A. Zappe, J. Meijer, P. Hemmer, and J. Wrachtrup, Nat. Commun. 3, 1029 (2012).

[36] C. Yin, M. Rancic, G. G. de Boo, N. Stavrias, J. C. McCallum, M. J. Sellars, and S. Rogge, Nature 497, 91 (2013).

[37] T. Utikal, E. Eichhammer, L. Petersen, A. Renn, S. Götzinger, and V. Sandoghdar, Nat. Commun. 5, 3627 (2014).

[38] T. Zhong, J. M. Kindem, E. Miyazono, and A. Faraon, Nat. Commun. 6, 8206 (2015b).

[39] T. Zhong, J. M. Kindem, J. G. Bartholomew, J. Rochman, I. Craiciu, E. Miyazono, M. Bettinelli, E. Cavalli, V. Verma, S. W. Nam, F. Marsili, M. D. Shaw, A. D. Beyer, and A. Faraon, Science 357, 1392 (2017).

[40] J. J. Longdell and M. J. Sellars, Phys. Rev. A 69, 032307 (2004).

[41] J. J. Longdell, M. J. Sellars, and N. B. Manson, Phys. Rev. Lett. 93, 130503 (2004).

[42] A. Reiserer, N. Kalb, M. S. Blok, K. J. van Bemmelen, T. H. Taminiau, R. Hanson, D. J. Twitchen, and M. Markham, Phys. Rev. X 6, 021040 (2016).

[43] S. D. Barrett and P. Kok, Phys. Rev. A 71, 060310 (2005).

[44] G. Liu and B. Jacquier, Spectroscopic properties of rare earths in optical materials, Vol. 83 (Springer Science & Business Media, 2006).

[45] D. McAuslan, J. J. Longdell, and M. Sellars, Phys. Rev. A 80, 062307 (2009).

[46] N. Ohlsson, R. K. Mohan, and S. Kröll, Opt. Commun. 201, 71 (2002).

[47] S. Altner, G. Zumofen, U. Wild, and M. Mitsunaga, Phys. Rev. B 54, 17493 (1996).

[48] C. Simon, H. de Riedmatten, M. Afzelius, N. Sangouard, H. Zbinden, and N. Gisin, Phys. Rev. Lett. 98, 190503 (2007).

[49] O. A. Collins, S. D. Jenkins, A. Kuzmich, and T. A. B. Kennedy, Phys. Rev. Lett. 98, 060502 (2007).

[50] N. Sinclair, E. Saglamyurek, H. Mallahzadeh, J. A. Slater, M. George, R. Ricken, M. P. Hedges, D. Oblak, C. Simon, W. Sohler, and W. Tittel, Phys. Rev. Lett. 113, 053603 (2014).

[51] L.-M. Duan, M. Lukin, J. I. Cirac, and P. Zoller, Nature 414, 413 (2001).

[52] S. Pirandola, R. Laurenza, C. Ottaviani, and L. Banchi, Nat. Commun. 8 (2017).

[53] C. W. Thiel, W. R. Babbitt, and R. L. Cone, Phys. Rev. B 85, 174302 (2012).

[54] T. Kornher, K. Xia, R. Kolesov, N. Kukharchyk, R. Reuter, P. Siyushev, R. Stöhr, M. Schreck, H. W. Becker, B. Villa, A. D. Wieck, and J. Wrachtrup, Appl. Phys. Lett. 108, 053108 (2016).

[55] M. Davanco, J. Liu, L. Sapienza, C.-Z. Zhang, J. V. De Miranda Cardoso, V. Verma, R. Mirin, S. W. Nam, L. Liu, and K. Srinivasan, Nat. Commun. 8, 889 (2017).

[56] E. Murray, D. J. P. Ellis, T. Meany, F. F. Floether, J. P. Lee, J. P. Griffiths, G. A. C. Jones, I. Farrer, D. A. Ritchie, A. J. Bennett, and A. J. Shields, Appl. Phys. Lett. 107, 171108 (2015).

[57] J.-H. Kim, S. Aghaeimeibodi, C. J. K. Richardson, R. P. Leavitt, D. Englund, and E. Waks, Nano Letters 17, 7394 (2017).

[58] S. R. Hastings-Simon, B. Lauritzen, M. U. Staudt, J. L. M. van Mechelen, C. Simon, H. de Riedmatten, M. Afzelius, and N. Gisin, Phys. Rev. B 78, 085410 (2008).

[59] T. Böttger, C. W. Thiel, Y. Sun, and R. L. Cone, Phys. Rev. B 73, 075101 (2006).

[60] S. Probst, H. Rotzinger, A. V. Ustinov, and P. A. Bushev, Phys. Rev. B 92, 014421 (2015).

[61] O. Guillot-Noël, H. Vezin, P. Goldner, F. Beaudoux, J. Vincent, J. Lejay, and I. Lorgeré, Phys. Rev. B 76, 180408 (2007).

[62] E. Fraval, M. J. Sellars, A. Morrison, and A. Ferris, J. Lumin. 107, 347 (2004).

[63] R. M. Macfarlane and R. M. Shelby, Spectroscopy of Solids Containing Rare Earth Ions, edited by A. A. Kaplyanskii and R. M. Macfarlane (North Holland, Amsterdam, 1987).

[64] P. Siyushev, K. Xia, R. Reuter, M. Jamali, N. Zhao, N. Yang, C. Duan, N. Kukharchyk, A. Wieck, R. Kolesov, et al., Nat. Commun. 5 (2014).

[65] B. Lauritzen, S. R. Hastings-Simon, H. de Riedmatten, M. Afzelius, and N. Gisin, Phys. Rev. A 78, 043402 (2008).

[66] J. Minář™, B. Lauritzen, H. de Riedmatten, M. Afzelius, C. Simon, and N. Gisin, New J. Phys. 11, 113019 (2009).

[67] R. M. Macfarlane, J. Lumin. 125, 156 (2007), festschrift in Honor of Academician Alexander A. Kaplyanskii.

[68] J. H. Wesenberg, K. Mølmer, L. Rippe, and S. Kröll, Phys. Rev. A 75, 012304 (2007).

[69] Y. Sun, T. Böttger, C. W. Thiel, and R. L. Cone, Phys. Rev. B 77, 085124 (2008).

[70] F. M. Pichanick, P. G. H. Sandars, and G. K. Woodgate, Proc. Royal Soc. A 257, 277 (1960).

[71] C. O'Brien, T. Zhong, A. Faraon, and C. Simon, Phys. Rev. A 94, 043807 (2016).

[72] T. Grange, G. Hornecker, D. Hunger, J.-P. Poizat, J.-M. Gérard, P. Senellart, and A. Auffèves, Phys. Rev. Lett. 114, 193601 (2015).

[73] T. Böttger, C. W. Thiel, R. L. Cone, and Y. Sun, Phys. Rev. B 79, 115104 (2009).

[74] A. E. Lita, A. J. Miller, and S. W. Nam, Opt. Express 16, 3032 (2008).

[75] F. Marsili, V. B. Verma, J. A. Stern, S. Harrington, A. E. Lita, T. Gerrits, I. Vayshenker, B. Baek, M. D. Shaw, R. P. Mirin, et al., Nat. Photonics 7, 210 (2013).

[76] J. G. Bartholomew, R. L. Ahlefeldt, and M. J. Sellars, Phys. Rev. B 93, 014401 (2016).

[77] M. Grimau Puigibert, G. H. Aguilar, Q. Zhou, F. Marsili, M. D. Shaw, V. B. Verma, S. W. Nam, D. Oblak, and W. Tittel, Phys. Rev. Lett. 119, 083601 (2017).

[78] K. Y. Yang, D. Y. Oh, S. H. Lee, Q.-F. Yang, X. Yi, B. Shen, H. Wang, and K. Vahala, Nat. Photonics 12, 297 (2018).

[79] M. Rančić, M. P. Hedges, R. L. Ahlefeldt, and M. J. Sellars, Nat. Phys. (2017), 10.1038/​nphys4254.

[80] B. Car, L. Veissier, A. Louchet-Chauvet, J.-L. Le Gouët, and T. Chanelière, Phys. Rev. Lett. 120, 197401 (2018).

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