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In order to assure the security of the long-distance quantum communication, the maximum entangled state is necessary. However, the decoherence of the entanglement is inevitable because of the channel noise and the interference of the environment. Quantum entanglement concentration can be used to convert a non-maximum entangled state into a maximum one. In previous entanglement concentration proposals, we need the initial coefficients of non-maximum entangled state or repeat the entanglement concentration process to improve the possibility of success, which reduces the efficiency of the entanglement concentration. A more efficient entanglement concentration for phontonic polarization state is proposed in this paper, which is based on the interaction between circularly polarized light and quantum dot-cavity system. An auxiliary photon is introduced to connect two distant participants. To overcome the channel noise, the auxiliary photon transmits though two channels between the two participants. The photons interact with coupled quantum dot-cavity before and after the auxiliary photon transmission. Then the states of spins and auxiliary photon are measured, and the maximum phontonic polarization entangled state is obtained by single-photon operations according to the measurement results. The success possibility of the proposed scheme is 1 in ideal conditions, that is, the concentration can be realized deterministically. However, the cavity leakage is unavoidable, so the fidelity of the entanglement concentration is calculated by taking one of the measurement results for example. The results show that the influences of the initial coefficients of non-maximum entangled state on the fidelity can be ignored in most cases, which saves a mass of photons used to measure the initial coefficients of the non-maximum entangled state. The fidelities with varying coupling strengths and cavity leakages are also shown in the paper. In the case of weak coupling, the fidelity is low and varies sharply with cavity leakage. Fortunately, the fidelity will plateau in a strong coupling case, and reaches 99.8% with a coupling strength 0.7 for diverse cavity leakages. Much progress has been made in the study of the strong coupling between quantum dot and optical cavity, which can satisfy the requirement of our entanglement concentration. So the proposed scheme is feasible in the current experimental conditions. In general, our proposal still maintains high fidelity even considering the cavity leakage, and the initial information about partially entangled state and the repetition of the entanglement concentration process are not required. This not only improves the security of the quantum entanglement concentration, but also contributes to efficient quantum information processing with less quantum resources. These characteristics increase the universality and efficiency of the entanglement concentration, thus assuring the quality of the long-distance quantum entanglement.
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Keywords:
- quantum entanglement concentration /
- quantum dot /
- optical microcavity
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[1] Bennett C H, Bernstein H J, Popescu S, Schumacher B 1996 Phys. Rev. A 53 2046
[2] Guo R, Zhou L, Gu S P, Wang X F, Sheng Y B 2016 Chin. Phys. B 25 030302
[3] Zhang W Z, Li W D, Shi P, Gu Y J 2011 Acta Phys. Sin. 60 060303 (in Chinese) [张闻钊, 李文东, 史鹏, 顾永建 2011 物理学报 60 060303]
[4] Zhou L, Wang D D, Wang X F, Gu S F, Sheng Y B 2017 Chin. Phys. B 26 020302
[5] Zhao Z, Pan J W, Zhan M S 2001 Phys. Rev. A 64 014301
[6] Yamamoto T, Koashi M, Imoto N 2001 Phys. Rev. A 64 012304
[7] Bose S, Vedral V, Knight P L 1999 Phys. Rev. A 60 194
[8] Sheng Y B, Deng F G, Zhou H Y 2008 Phys. Rev. A 77 062325
[9] Sheng Y B, Zhou L, Zhao S M, Zheng B Y 2012 Phys. Rev. A 85 012307
[10] Ding S P, Zhou L, Gu S P, Wang X F, Sheng Y B 2017 Int. J. Theor. Phys. 56 1912
[11] Qu C C, Zhou L, Sheng Y B 2015 Quant. Inf. Process. 14 4131
[12] Fei S M 2016 Sci. China: Inform. Sci. 59 128501
[13] Song T T, Tan X, Wang T 2017 Sci. Rep. 7 1982
[14] Ren B C, Du F F, Deng F G 2013 Phys. Rev. A 88 012302
[15] Cao C, Wang T J, Mi S C, Zhang R, Wang C 2016 Ann. Phys. 369 128
[16] Du F F, Deng F G, Long G L 2016 Sci. Rep. 6 35922
[17] Loss D, DiVincenzo D P 1998 Phys. Rev. A 57 120
[18] Wei H R, Deng F G 2013 Opt. Express 21 17671
[19] Chen Q C 2016 Acta Phys. Sin. 65 247801 (in Chinese) [陈秋成 2016 物理学报 65 247801]
[20] Wang S X, Li Y X, Wang N, Liu J J 2016 Acta Phys. Sin. 65 137302 (in Chinese) [王素新, 李玉现, 王宁, 刘建军 2016 物理学报 65 137302]
[21] Wei H R, Deng F G 2013 Phys. Rev. A 87 022305
[22] Senellart P, Solomon G, White A 2017 Nat. Nanotechnol. 12 1026
[23] Ren B C, Deng F G 2014 Sci. Rep. 4 4623
[24] Shimizu H, Saravanan S, Yoshida J, Ibe S, Yokouchi N 2006 Appl. Phys. Lett. 88 241117
[25] Ulbrich N, Bauer J, Scarpa G, Boy R, Schuh G, Abstreiter G, Schmult S, Wegscheider W 2003 Appl. Phys. Lett. 83 1530
[26] Wang C, Zhang Y, Jin G S 2011 Phys. Rev. A 84 032307
[27] Wang C 2012 Phys. Rev. A 86 012323
[28] Sheng Y B, Zhou L, Wang L, Zhao S M 2013 Quant. Inf. Process. 12 1885
[29] Ren B C, Long G L 2014 Opt. Express 22 6547
[30] Scully M O, Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)
[31] Hu C Y, Munro W J, O'Brien J L, Rarity J G 2009 Phys. Rev. B 80 205326
[32] Bonato C, Haupt F, Oemrawsingh S S R, Gudat J, Ding D, van Exter M P, Bouwmeester D 2010 Phys. Rev. Lett. 104 160503
[33] Reithmaier J P, Seȩk G, Löffler A, Hofmann C, Kuhn S, Reitzenstein S, Keldysh L V, Kulakocskii V D, Reinecke T K, Forchel A 2004 Nature 432 197
[34] Yoshie T, Scherer A, Hendrickson J, Khitrova G, Gibbs H M, Rupper G, Ell C, Shchekin O B, Deppe D G 2004 Nature 432 200
[35] Reitzenstein S, Hofmann C, Gorbunov A, Strauß M, Kwon S H, Schneider C, Löffler A, Höfling S, Kamp M, Forchel A 2007 Appl. Phys. Lett. 90 251109
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