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Error-Detected Generation of High-Fidelity Photonic Hyperentanglement in Polarization-Spatial-Time Three Degrees of Freedom Assisted by Quantum-Dot Spins

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Abstract

Photonic hyperentanglement, which involves photons simultaneously entangled in more than one degree of freedom (DOF), has many important applications in quantum information processing, especially in high-capacity quantum communications. Interestingly, single-photon qubits encoded in the time-bin DOF are robust for long-distance transmissions in noisy channels. In this paper, we present a hyperentangled-Bell-state generation (HBSG) scheme for preparing two-photon six-qubit states which are simultaneously entangled in the polarization, spatial-mode, and time-bin DOFs. Compared with previous HBSG schemes, we construct an error-detected circuit unit with a quantum-dot (QD) spin in a double-sided optical microcavity, with which errors due to imperfect interactions between photons and QD systems can be easily detected, so that the error-detected circuit unit can relax the experimental requirement and improve the fidelity of our scheme largely. Meanwhile, our scheme is used to prepare two-photon hyperentangled states in polarization-spatial-time three DOFs, which is significant for faithful entanglement distribution and quantum repeater. These features make our scheme more feasible and useful in high-capacity and long-distance quantum communications with hyperentanglement.

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References

  1. Ekert, A.K.: Phys. Rev. Lett. 67(6), 661 (1991)

    ADS  MathSciNet  Google Scholar 

  2. Cui, Z.-X., Zhong, W., Zhou, L., Sheng, Y.-B.: SCI. Chin. Phys. Mech. Astron. 62(11), 110311 (2019)

    ADS  Google Scholar 

  3. Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59 (3), 1829 (1999)

    ADS  MathSciNet  Google Scholar 

  4. Cai, X., Wang, T., Zhang, R., Gao, F.: IEEE Access 7, 134854–134861 (2019)

    Google Scholar 

  5. Long, G.-L., Liu, X.-S.: Phys. Rev. A 65(3), 032302 (2002)

    ADS  Google Scholar 

  6. Deng, F.-G., Long, G.L., Liu, X.-S.: Phys. Rev. A 68(4), 042317 (2003)

    ADS  Google Scholar 

  7. Zhang, W., Ding, D.-S., Sheng, Y.-B., Zhou, L., Shi, B.-S., Guo, G.-C.: Phys. Rev. Lett. 118(22), 220501 (2017)

    ADS  Google Scholar 

  8. Chen, S.-S., Zhou, L., Zhong, W., Sheng, Y.-B.: Sci. China Phys. Mech. Astron. 61(9), 90312 (2018)

    ADS  Google Scholar 

  9. Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69(20), 2881 (1992)

    ADS  MathSciNet  Google Scholar 

  10. Liu, X.S., Long, G.L., Tong, D.M., Li, F.: Phys. Rev. A 65(2), 022304 (2002)

    ADS  Google Scholar 

  11. Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70(13), 1895 (1993)

    ADS  MathSciNet  Google Scholar 

  12. Raussendorf, R., Briegel, H.J.: Phys. Rev. Lett. 86(22), 5188 (2001)

    ADS  Google Scholar 

  13. Raussendorf, R., Browne, D.E., Briegel, H.J.: Phys. Rev. A 68(2), 022312 (2003)

    ADS  Google Scholar 

  14. Giovannetti, V., Lloyd, S., Maccone, L.: Phys. Rev. Lett. 96(1), 010401 (2006)

    ADS  MathSciNet  Google Scholar 

  15. Giovannetti, V., Lloyd, S., Maccone, L.: Nat. Photonics 5 (4), 222 (2011)

    ADS  Google Scholar 

  16. Zhong, W., Wang, F., Zhou, L., Xu, P., Sheng, Y.: Sci. China Phys. Mech. Astron. 63(6), 1–11 (2020)

    ADS  Google Scholar 

  17. Zhu, S., Liu, Y.-C., Zhao, B.-K., Zhou, L., Zhong, W., Sheng, Y.-B.: EPL (Europhys. Lett.) 129(5), 50004 (2020)

    ADS  Google Scholar 

  18. Kwiat, P.G., Mattle, K., Weinfurter, H., Zeilinger, A., Sergienko, A.V., Shih, Y.: Phys. Rev. Lett. 75(24), 4337 (1995)

    ADS  Google Scholar 

  19. Fulconis, J., Alibart, O., Orien, J.L., Wadsworth, W.J., Rarity, J.G.: Phys. Rev. Lett. 99(12), 120501 (2007)

    ADS  Google Scholar 

  20. Aspect, A., Grangier, P., Roger, G.: Phys. Rev. Lett. 49 (2), 91 (1982)

    ADS  Google Scholar 

  21. Benson, O., Santori, C., Pelton, M., Yamamoto, Y.: Phys. Rev. Lett. 84(11), 2513 (2000)

    ADS  Google Scholar 

  22. Hudson, A.J., Stevenson, R.M., Bennett, A.J., Young, R.J., Nicoll, C.A., Atkinson, P., Cooper, K., Ritchie, D.A., Shields, A.J.: Phys. Rev. Lett. 99(26), 266802 (2007)

    ADS  Google Scholar 

  23. Ou, Z.Y., Mandel, L.: Phys. Rev. Lett. 61(1), 54 (1988)

    ADS  Google Scholar 

  24. Fattal, D., Inoue, K., Vučković, J., Santori, C., Solomon, G.S., Yamamoto, Y.: Phys. Rev. Lett. 92(3), 037903 (2004)

    ADS  Google Scholar 

  25. Kwiat, P.G.: J. Mod. Opt. 44(11-12), 2173–2184 (1997)

    ADS  MathSciNet  Google Scholar 

  26. Sheng, Y.-B., Deng, F.-G.: Phys. Rev. A 81(3), 032307 (2010)

    ADS  Google Scholar 

  27. Sheng, Y.-B., Deng, F.-G.: Phys. Rev. A 82(4), 044305 (2010)

    ADS  Google Scholar 

  28. Li, X.-H.: Phys. Rev. A 82(4), 044304 (2010)

    ADS  Google Scholar 

  29. Deng, F.-G.: Phys. Rev. A 83(6), 062316 (2011)

    ADS  Google Scholar 

  30. Sheng, Y.-B., Zhou, L.: Laser Phys. Lett. 11(8), 085203 (2014)

    ADS  Google Scholar 

  31. Kwiat, P.G., Weinfurter, H.: Phys. Rev. A 58(4), R2623 (1998)

    ADS  Google Scholar 

  32. Walborn, S.P., Pádua, S, Monken, C.H.: Phys. Rev. A 68(4), 042313 (2003)

    ADS  MathSciNet  Google Scholar 

  33. Ren, X.-F., Guo, G.-P., Guo, G.-C.: Phys. Lett. A 343 (1-3), 8–11 (2005)

    ADS  MathSciNet  Google Scholar 

  34. Schuck, C., Huber, G., Kurtsiefer, C., Weinfurter, H.: Phys. Rev. Lett. 96(19), 190501 (2006)

    ADS  Google Scholar 

  35. Barbieri, M., Vallone, G., Mataloni, P., De Martini, F.: Phys. Rev. A 75(4), 042317 (2007)

    ADS  Google Scholar 

  36. Barreiro, J.T., Wei, T.-C., Kwiat, P.G.: Nat. Phys. 4(4), 282–286 (2008)

    Google Scholar 

  37. Vallone, G., Pomarico, E., De Martini, F., Mataloni, P.: Phys. Rev. Lett. 100(16), 160502 (2008)

    ADS  Google Scholar 

  38. Wang, T.-J., Wang, C.: IEEE J. Sel. Top. Quantum Electron. 21(3), 91–97 (2014)

    ADS  Google Scholar 

  39. Zhou, P., Lv, L.: Sci. Rep. 9, 15939 (2019)

    ADS  Google Scholar 

  40. Wang, T-J, Li, T., Du, F-F, Deng, F-G: . Chin. Phys. Lett. 28(4), 040305 (2011)

    ADS  Google Scholar 

  41. Wang, X.-L., Cai, X.-D., Su, Z.-E., Chen, M.-C., Wu, D., Li, L., Liu, N.-L., Lu, C.-Y., Pan, J.-W.: Nature 518, 516–519 (2015)

    ADS  Google Scholar 

  42. Wu, F., Yang, G., Wang, H., Xiong, J., Alzahrani, F., Hobiny, A., Deng, F.: Sci. China Phys. Mech. Astron. 60(12), 120313 (2017)

    ADS  Google Scholar 

  43. Hu, X.-M., Guo, Y., Liu, B.-H., Huang, Y.-F., Li, C.-F., Guo, G.-C.: Sci. Adv. 4(7), eaat9304 (2018)

    ADS  Google Scholar 

  44. Shi, J., Ma, P-C, Chen, G-B: . Int. J. Theor. Phys. 58(2), 372–382 (2019)

    Google Scholar 

  45. Shi, J., Zhang, X., Zhu, Y.: Int. J. Theor. Phys. 58(9), 3036–3048 (2019)

    Google Scholar 

  46. Yang, T., Zhang, Q., Zhang, J., Yin, J., Zhao, Z., Żukowski, M, Chen, Z.-B., Pan, J.-W.: Phys. Rev. Lett. 95(24), 240406 (2005)

    ADS  Google Scholar 

  47. Barreiro, J.T., Langford, N.K., Peters, N.A., Kwiat, P.G.: Phys. Rev. Lett. 95(26), 260501 (2005)

    ADS  Google Scholar 

  48. Vallone, G., Ceccarelli, R., De Martini, F., Mataloni, P.: Phys. Rev. A 79(3), 030301 (2009)

    ADS  MathSciNet  Google Scholar 

  49. Ceccarelli, R., Vallone, G., De Martini, F., Mataloni, P., Cabello, A.: Phys. Rev. Lett. 103(16), 160401 (2009)

    ADS  Google Scholar 

  50. Gao, W-B, Lu, C-Y, Yao, X-C, Xu, P., Gühne, O., Goebel, A., Chen, Y.-A., Peng, C.-Z., Chen, Z.-B., Pan, J.-W.: Nat. Phys. 6(5), 331–335 (2010)

    Google Scholar 

  51. Wang, X.-L., Luo, Y.-H., Huang, H.-L., Chen, M.-C., Su, Z.-E., Liu, C., Chen, C., Li, W., Fang, Y.-Q., Jiang, X., et al.: Phys. Rev. lett. 120(26), 260502 (2018)

    ADS  Google Scholar 

  52. Yang, Z.-T., Cao, C., Wang, C.: Int. J. Theor. Phys. 58 (7), 2200–2212 (2019)

    Google Scholar 

  53. Erhard, M., Krenn, M., Zeilinger, A.: Nature Rev. Phys. 1–17 (2020)

  54. Hong, C.H., Heo, J., Kang, M.S., Jang, J., Yang, H.J.: Sci. Rep. 8(1), 1–13 (2018)

    Google Scholar 

  55. Gao, C.-Y., Ren, B.-C., Zhang, Y.-X., Ai, Q., Deng, F.-G.: Ann. Phys. 531(10), 1900201 (2019)

    MathSciNet  Google Scholar 

  56. Kalamidas, D.: Phys. Lett. A 343(5), 331–335 (2005)

    ADS  Google Scholar 

  57. Li, X.-H., Deng, F.-G., Zhou, H.-Y.: Appl. Phys. Lett. 91 (14), 144101 (2007)

    ADS  Google Scholar 

  58. Kang, Y.-H., Xia, Y., Lu, P.-M.: Appl. Phys. B 116(4), 977–984 (2014)

    ADS  Google Scholar 

  59. Li, T., Wang, G.-Y., Deng, F.-G., Long, G.-L.: Sci. Rep. 6(1), 1–8 (2016)

    Google Scholar 

  60. Brendel, J., Gisin, N., Tittel, W., Zbinden, H.: Phys. Rev. Lett. 82(12), 2594 (1999)

    ADS  Google Scholar 

  61. Simon, C., Poizat, J.-P.: Phys. Rev. Lett. 94(3), 030502 (2005)

    ADS  MathSciNet  Google Scholar 

  62. Zavatta, A., Dngelo, M., Parigi, V., Bellini, M.: Phys. Rev. Lett. 96(2), 020502 (2006)

    ADS  Google Scholar 

  63. Williams, B.P., Sadlier, R.J., Humble, T.S.: Phys. Rev. Lett. 118(5), 050501 (2017)

    ADS  Google Scholar 

  64. Li, X.-H., Ghose, S.: Phys. Rev. A 91(6), 062302 (2015)

    ADS  Google Scholar 

  65. Li, X.-H., Ghose, S.: Opt. Express 24(16), 18388–18398 (2016)

    ADS  Google Scholar 

  66. Du, F.-F., Deng, F.-G., Long, G.-L.: Sci. Rep. 6, 35922 (2016)

    ADS  Google Scholar 

  67. Wang, Z.-H., Yu, W.-X., Wu, X.-Y., Gao, C.-Y., Alzahrani, F., Hobiny, A., Deng, F.-G.: Int. J. Theor. Phys. 57(3), 664–673 (2018)

    Google Scholar 

  68. Wang, M., Yan, F., Gao, T.: Laser Phys. Lett. 15(12), 125206 (2018)

    ADS  Google Scholar 

  69. Wang, M., Xu, J., Yan, F., Gao, T.: Europhys. Lett. 123(6), 60002 (2018)

    ADS  Google Scholar 

  70. Atatüre, M., Dreiser, J., Badolato, A., Högele, A., Karrai, K., Imamoglu, A.: Science 312(5773), 551–553 (2006)

    ADS  Google Scholar 

  71. Berezovsky, J., Mikkelsen, M.H., Stoltz, N.G., Coldren, L.A., Awschalom, D.D.: Science 320(5874), 349–352 (2008)

    ADS  Google Scholar 

  72. Press, D., Ladd, T.D., Zhang, B., Yamamoto, Y.: Nature 456(7219), 218–221 (2008)

    ADS  Google Scholar 

  73. Reiserer, A., Rempe, G.: Rev. Mod. Phys. 87(4), 1379 (2015)

    ADS  Google Scholar 

  74. Xiao, Y.-F., Gong, Q.: Sci. Bull. 61(3), 185–186 (2016)

    Google Scholar 

  75. Cao, C., Duan, Y.-W., Chen, X., Zhang, R., Wang, T.-J., Wang, C.: Opt. Express 25(15), 16931–16946 (2017)

    ADS  Google Scholar 

  76. Song, Q.: Sci China Phys Mech Astron 62, 074231 (2019)

    Google Scholar 

  77. Wei, H.-R., Deng, F.-G.: Phys. Rev. A 87(2), 022305 (2013)

    ADS  Google Scholar 

  78. Wei, H.-R., Deng, F.-G.: Opt. Express 21(15), 17671–17685 (2013)

    ADS  Google Scholar 

  79. Wei, H.-R., Deng, F.-G.: Opt. Express 22(1), 593–607 (2014)

    ADS  Google Scholar 

  80. Wei, H.-R., Deng, F.-G.: Sci. Rep. 4, 7551 (2014)

    Google Scholar 

  81. Hu, C.Y.: Phys. Rev. B 94(24), 245307 (2016)

    ADS  Google Scholar 

  82. Hu, C.Y.: Sci. Rep. 7(1), 1–11 (2017)

    ADS  Google Scholar 

  83. Xia, B.-Y., Cao, C., Han, Y.-H., Zhang, R.: Laser Phys. 28(9), 095201 (2018)

    ADS  Google Scholar 

  84. Cao, C., Han, Y.-H., Zhang, L., Fan, L., Duan, Y.-W., Zhang, R.: Adv. Quantum Technol. 2(10), 1900081 (2019)

    Google Scholar 

  85. Wang, C., Zhang, Y., Jin, G.-S.: Phys. Rev. A 84(3), 032307 (2011)

    ADS  Google Scholar 

  86. Cao, C., Wang, C., He, L-Y, Zhang, R.: Opt. Express 21(4), 4093–4105 (2013)

    ADS  Google Scholar 

  87. Cao, C., Chen, X., Duan, Y.-W., Fan, L., Zhang, R., Wang, T.-J., Wang, C.: Sci. China Phys. Mech. Astron. 59(10), 100315 (2016)

    Google Scholar 

  88. Hu, C.Y., Munro, W.J., Rarity, J.G.: Phys. Rev. B 78(12), 125318 (2008)

    ADS  Google Scholar 

  89. Wang, T.-J., Lu, Y., Long, G.L.: Phys. Rev. A 86(4), 042337 (2012)

    ADS  Google Scholar 

  90. Wang, G.-Y., Ai, Q., Ren, B.-C., Li, T., Deng, F.-G.: Opt. Express 24(25), 28444–28458 (2016)

    ADS  Google Scholar 

  91. Zheng, Y., Liang, L., Zhang, M.: Sci. China Phys. Mech. Astron. 62(7), 970312 (2019)

    Google Scholar 

  92. Cao, C., Zhang, L., Han, Y.-H., Yin, P.-P., Fan, L., Duan, Y.-W., Zhang, R.: Opt. Express 28(3), 2857–2872 (2020)

    ADS  Google Scholar 

  93. Warburton, R.J., Dürr, CS, Karrai, K., Kotthaus, J.P., Medeiros-Ribeiro, G., Petroff, P.M.: Phys. Rev. Lett. 79(26), 5282 (1997)

    ADS  Google Scholar 

  94. Hu, C.Y., Munro, W.J., Orien, J.L., Rarity, J.G.: Phys. Rev. B 80(20), 205326 (2009)

    ADS  Google Scholar 

  95. Reithmaier, J.P., Sek, G., Löffler, A., Hofmann, C., Kuhn, S., Reitzenstein, S., Keldysh, L.V., Kulakovskii, V.D., Reinecke, T.L., Forchel, A.: Nature 432(7014), 197–200 (2004)

    ADS  Google Scholar 

  96. Reitzenstein, S., Hofmann, C., Gorbunov, A., Strauß, M, Kwon, S.H., Schneider, C., Löffler, A., Höfling, S., Kamp, M., Forchel, A.: Appl. Phys. Lett. 90(25), 251109 (2007)

    ADS  Google Scholar 

  97. Hu, C.Y., Young, A., Orien, J.L., Munro, W.J., Rarity, J.: Phys. Rev. B 78(8), 085307 (2008)

    ADS  Google Scholar 

  98. Langbein, W., Borri, P., Woggon, U., Stavarache, V., Reuter, D., Wieck, A.D.: Phys. Rev. B 70(3), 033301 (2004)

    ADS  Google Scholar 

  99. Brunner, D., Gerardot, B.D., Dalgarno, P.A., Wüst, G., Karrai, K., Stoltz, N.G., Petroff, P.M., Warburton, R.J.: Science 325 (5936), 70–72 (2009)

    ADS  Google Scholar 

  100. Calarco, T., Datta, A., Fedichev, P., Pazy, E., Zoller, P.: Phys. Rev. A 68(1), 012310 (2003)

    ADS  Google Scholar 

  101. Bester, G., Nair, S., Zunger, A.: Phys. Rev. B 67(16), 161306 (2003)

    ADS  Google Scholar 

  102. Xiongjun, Z., Dengsheng, W., Jun, Z., Haiwu, Y., Jiangang, Z., Dingxiang, C., Mingzhong, L.: Opt. Express 17(19), 17164–17169 (2009)

    Google Scholar 

  103. Bonato, C., Haupt, F., Oemrawsingh, S.S., Gudat, J., Ding, D., van Exter, M.P., Bouwmeester, D.: Phys. Rev. Lett. 104(16), 160503 (2010)

    ADS  Google Scholar 

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National Natural Science Foundation of China (NSFC) (61701035 and 61671085).

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Zhang, L., Cao, C., Han, YH. et al. Error-Detected Generation of High-Fidelity Photonic Hyperentanglement in Polarization-Spatial-Time Three Degrees of Freedom Assisted by Quantum-Dot Spins. Int J Theor Phys 59, 4025–4039 (2020). https://doi.org/10.1007/s10773-020-04658-z

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