基于拉曼协议的量子存储

史保森; 丁冬生; 张伟; 李恩泽

doi:10.7498/aps.68.20182215

摘要

量子存储器是实现按照需要存储/读出诸如单光子、纠缠或者压缩态等非经典量子态的系统, 是实现量子通信和量子计算必不可少的核心器件. 量子存储协议多种多样, 其中拉曼方案由于具有存储宽带大、可用于存储短脉冲信号的优点而引起了人们的广泛关注. 然而实现真正单光子和光子纠缠的拉曼存储具有挑战性. 本文简要介绍了量子存储器的主要性能和评价指标, 在回顾了量子存储器特别是拉曼量子存储器的发展现状后, 重点介绍了本研究组最近基于拉曼协议实现各种量子态存储的系列研究, 取得的研究成果对于构建高速量子网络具有重要参考价值.

关键词:

量子存储 /
量子信息

Abstract

Quantum memories are indispensable for quantum communication and quantum computation, which are able to realize the storage and retrieval of a quantum state such as a single photon, entanglement, or a squeezed state on demand. Among those memories realized by different protocols, the Raman quantum memory has advantages in its broadband and high-speed properties, resulting in huge potential applications in quantum network and quantum computation. However, the realization of Raman quantum memory for a true single photon and photonic entanglement is a challenging job. In this review, after briefly introducing the main benchmarks for quantum memories, showing the state of the art, we focus on the review of the experimental progress recently achieved in storing the quantum state by Raman scheme in our group. We believe that all achievements reviewed are very hopeful in building up a high-speed quantum network.

Keywords:

quantum storage /
quantum information

作者及机构信息

1.
中国科学技术大学, 中国科学院量子信息重点实验室, 合肥　230026

2.
量子信息与量子物理协同创新中心, 合肥　230026

通信作者: 史保森, drshi@ustc.edu.cn

基金项目: 国家自然科学基金(批准号: 61435011, 61275115, 61525504)和安徽量子信息技术引导专项(批准号: AHY020200)资助的课题.

Authors and contacts

1.
Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China

2.
Synergetic Innovation Center of Quantum Information & Quantum Physics, University of Science and Technology of China, Hefei 230026, China

Corresponding author: Shi Bao-Sen, drshi@ustc.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61435011, 61275115, 61525504) and Anhui Initiative in Quantum Information Technologies, China (Grant No. AHY020200).

文章全文 : translate this paragraph

参考文献

[1]	Sangouard N, Simon C, Zhao B, Chen Y A, de Riedmatten H, Pan J W, Gisin N 2008 Phys. Rev. A 77 062301 Google Scholar
[2]	Briegel H J, Dür W, Cirac J I, Zoller P 1998 Phys. Rev. Lett. 81 5932 Google Scholar
[3]	Knill E, Laflamme R, Milburn G J 2001 Nature 409 46 Google Scholar
[4]	Ladd T D, Jelezko F, Laflamme R, Nakamura Y, Monroe C, O'Brien J L 2010 Nature 464 54 Google Scholar
[5]	Giovannetti V, Lloyd S, Maccone L 2011 Nat. Photon. 5 222 Google Scholar
[6]	Majumdar A, Bajcsy M, Rundquist A, Vučković J 2012 Phys. Rev. Lett. 108 183601 Google Scholar
[7]	Bussières F, Sangouard N, Afzelius M, de Riedmatten H, Simon C, Tittel W 2013 J. Mod. Opt. 60 1519 Google Scholar
[8]	Duan L M, Lukin M D, Cirac J I, Zoller P 2001 Nature 414 413 Google Scholar
[9]	Radnaev A G, Dudin Y O, Zhao R, Jen H H, Jenkins S D, Kuzmich A, Kennedy T A B 2010 Nat. Phys. 6 894 Google Scholar
[10]	Albrecht B, Farrera P, Gonzalvo X F, Cristiani M, de Riedmatten H 2014 Nat. Commun. 5 3376 Google Scholar
[11]	Clausen C, Usmani I, Bussières F, Sangouard N, Afzelius M, de Riedmatten H, Gisin N 2011 Nature 469 508 Google Scholar
[12]	Saglamyurek E, Sinclair N, Jin J, Slater J A, Oblak D, Bussières F, George M, Ricken R, Sohler W, Tittel W 2011 Nature 469 512 Google Scholar
[13]	Simon C, de Riedmatten H, Afzelius M, Sangouard N, Zbinden H, Gisin N 2007 Phys. Rev. Lett. 98 190503 Google Scholar
[14]	Zhang W, Ding D S, Shi S, Li Y, Zhou Z Y, Shi B S, Guo G C 2016 Phys. Rev. A 93 022316 Google Scholar
[15]	Specht H P, Nölleke C, Reiserer A, Uphoff M, Figueroa E, Ritter S, Rempe G 2011 Nature 473 190 Google Scholar
[16]	Olmschenk S, Matsukevich D N, Maunz P, Hayes D, Duan L M, Monroe C 2009 Science 323 486 Google Scholar
[17]	Kurz C, Schug M, Eich P, Huwer J, Müller P, Eschner J 2014 Nat. Commun. 5 5527 Google Scholar
[18]	Togan E, Chu Y, Trifonov A S, Jiang L, Maze J, Childress L, Dutt M V G, Sørensen A S, Hemmer P R, Zibrov A S, Lukin M D 2010 Nature 466 730 Google Scholar
[19]	Bernien H, Hensen B, Pfaff W, Koolstra G, Blok M S, Robledo L, Taminiau T H, Markham M, Twitchen D J, Childress L, Hanson R 2013 Nature 497 86 Google Scholar
[20]	Greve D G, Yu L, McMahon P L, Pelc J S, Natarajan C M, Kim N Y, Abe E, Maier S, Schneider C, Kamp M, Höfling S, Hadfield R H, Forchel A, Fejer M M, Yamamoto Y 2012 Nature 491 421 Google Scholar
[21]	Wang Q, Zhang Y S 2012 Eur. Phys. J. B 85 225 Google Scholar
[22]	Dudin Y O, Li L, Kuzmich A 2013 Phys. Rev. A 87 031801 Google Scholar
[23]	Xu Z X, Wu Y L, Tian L, Chen L, Zhang Z Y, Yan Z H, Li S J, Wang H, Xie C D, Peng K C 2013 Phys. Rev. Lett. 111 240503 Google Scholar
[24]	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, Chen Y C 2018 Phys. Rev. Lett. 120 183602 Google Scholar
[25]	Zhou S, Zhang S C, Liu C, Chen J F, Wen J M, Loy M M T, Wong G K L, Du S W 2012 Opt. Express. 20 24124 Google Scholar
[26]	Li J F, Wang Y F, Zhang S C, He J Y, Cheng A Q, Yan H, Zhu S L 2017 arXiv: 1706.01404[quant-ph]
[27]	Ding D S, Zhou Z Y, Shi B S, Guo G C 2013 Nat. Commun. 4 2527 Google Scholar
[28]	Ding D S, Zhang W, Zhou Z Y, Shi S, Pan J S, Xiang G Y, Wang X S, Jiang Y K, Shi B S, Guo G C 2014 Phys. Rev. A 90 042301 Google Scholar
[29]	Ding D S, Zhang W, Zhou Z Y, Shi S, Xiang G Y, Wang X S, Jiang Y K, Shi B S, Guo G C 2015 Phys. Rev. Lett. 114 050502 Google Scholar
[30]	Ding D S, Zhang W, Shi S, Zhou Z Y, Li Y, Shi B S, Guo G C 2016 Light: Science and Applications 5 e 5 e16157 Google Scholar
[31]	Shi B S, Ding D S, Zhang W 2018 J. Phys. B: At. Mol. Opt. Phys. 51 032004 Google Scholar
[32]	Hosseini M, Sparkes B M, Campbell G, Lam P K, Buchler B C 2011 Nat. Commun. 2 174 Google Scholar
[33]	Higginbottom D B, Sparkes B M, Rancic M, Pinel O, Hosseini M, Lam P K, Buchler B C 2012 Phys. Rev. A 86 023801 Google Scholar
[34]	Glorieux Q, Clark J B, Marino A M, Zhou Z F, Lett P D 2012 Opt. Express 20 12350 Google Scholar
[35]	Shi S, Ding D S, Zhang W, Zhou Z Y, Dong M X, Liu S L, Wang K, Shi B S, Guo G C 2017 Phys. Rev. A 95 033823 Google Scholar
[36]	Ding D S, Wu J H, Zhou Z Y, Liu Y, Shi B S, Zou X B, Guo G C 2013 Phys. Rev. A 87 013835 Google Scholar
[37]	Zhong M J, Hedges M P, Ahlefeldt R L, Bartholomew J G, Beavan S E, Wittig S M, Longdell J J, Sellars M J 2015 Nature 517 177 Google Scholar
[38]	Tang, J S, Zhou Z Q, Wang Y T, Li Y L, Liu X, Hua Y L, Zou Y, Wang S, He D Y, Chen G, Sun Y N, Yu Y, Li M F, Zha Z G, Ni H Q, Niu Z C, Li C F, Guo G C 2015 Nat. Commun. 6 8652 Google Scholar
[39]	Sinclair N, Saglamyurek E, Mallahzadeh H, Slater J A., George M, Ricken R, Hedges M P, Oblak D, Simon C, Sohler W, Tittel W 2014 Phys. Rev. Lett. 113 053603 Google Scholar
[40]	Harris S E, Field J E, Imamoğlu A 1990 Phys. Rev. Lett. 64 1107 Google Scholar
[41]	Hau L V, Harris S E, Dutton Z, Behroozi C H 1999 Nature 397 594 Google Scholar
[42]	Chanelière T, Matsukevich D N, Jenkins S D, Lan S Y, Kennedy T A B, Kuzmich A 2005 Nature 438 833 Google Scholar
[43]	Nunn J, Walmsley I A, Raymer M G, Surmacz K, Waldermann F C, Wang Z, Jaksch D 2007 Phys. Rev. A 75 011401(R)Google Scholar
[44]	Reim K F, Nunn J, Lorenz V O, Sussman B J, Lee K C, Langford N K, Jaksch D, Walmsley I A 2010 Nat. Photon. 4 218 Google Scholar
[45]	Reim K F, Michelberger P, Lee K C, Nunn J, Langford N K, Walmsley I A 2011 Phys. Rev. Lett. 107 053603 Google Scholar
[46]	Moiseev S A, Kröll S 2001 Phys. Rev. Lett. 87 173601 Google Scholar
[47]	Kraus B, Tittel W, Gisin N, Nilsson M, Kröll S, Cirac J I 2006 Phys. Rev. A 73 020302(R)Google Scholar
[48]	Afzelius M, Simon C, de Riedmatten H, Gisin N 2009 Phys. Rev. A 79 052329 Google Scholar
[49]	Alexander A L, Longdell J J, Sellars M J, Manson N B 2006 Phys. Rev. Lett. 96 043602 Google Scholar
[50]	Tittel W, Afzelius M, Chaneliére T, Cone R L, Kröll S, Moiseev S A, Sellars M 2010 Laser Photon. Rev. 4 244 Google Scholar
[51]	Michelberger P S, Champion T F M, Sprague M R, Kaczmarek K T, Barbieri M, Jin X M, England D G, Kolthammer W S, Saunders D J, Nunn J, Walmsley I A 2015 New. J. Phys. 17 043006 Google Scholar
[52]	Bustard P J, Lausten R, England D G, Sussman B J 2013 Phys. Rev. Lett. 111 083901 Google Scholar
[53]	England D G, Bustard P J, Nunn J, Lausten R, Sussman B J 2013 Phys. Rev. Lett. 111 243601 Google Scholar
[54]	Saunders D J, Munns J H D, Champion T F M, Qiu C, Kaczmarek K T, Poem E, Ledingham P M, Walmsley I A, Nunn J 2016 Phys. Rev. Lett. 116 090501 Google Scholar
[55]	Kaczmarek K T, Ledingham P M, Brecht B, Thomas S E, Thekkadath G S, Lazo-Arjona O, Munns J H D, Poem E, Feizpour A, Saunders D J, Nunn J, Walmsley I A 2018 Phys. Rev. A 97 042316 Google Scholar
[56]	Dou J P, Yang A L, Du M Y, Lao D, Gao J, Qiao L F, Li H, Pang X L, Feng Z, Tang H, Jin X M 2018 Commun. Phys. 1 55 Google Scholar
[57]	Guo J X, Feng X T, Yang P Y, Yu Z F, Chen L Q, Yuan C H, Zhang W P 2018 arXiv: 1804.10763[quant-ph]
[58]	Ding D S, Zhang W, Zhou Z Y, Shi S, Shi B S, Guo G C 2015 Nat. Photon. 9 332 Google Scholar
[59]	Zhang W, Ding D S, Dong M X, Shi S, Wang K, Liu S L, Li Y, Zhou Z Y, Shi B S, Guo G C 2016 Nat. Commun. 7 13514 Google Scholar
[60]	Liu Y, Wu J H, Shi B S, Guo G C 2012 Chin. Phys. Lett. 29 024205 Google Scholar
[61]	Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185 Google Scholar
[62]	Franke-Arnold S, Allen L, Padgett M 2008 Laser Photon. Rev. 2 299 Google Scholar
[63]	Leach J, Jack B, Romero J, Jha A K, Yao A M, Franke-Arnold S, Ireland D G, Boyd R W, Barnett S M, Padgett1 M J 2010 Science 329 662 Google Scholar
[64]	Dada A C, Leach J, Buller G S, Padgett M J, Andersson E 2011 Nat. Phys. 7 677 Google Scholar
[65]	Fickler R, Lapkiewicz R, Plick W M, Krenn M, Schaeff C, Ramelow S, Zeilinger A 2012 Science 338 640 Google Scholar
[66]	Wang J, Yang J Y, Fazal I M, Ahmed N, Yan Y, Huang H, Ren Y X, Yue Y, Dolinar S, Tur M, Willner A E 2012 Nat. Photon. 6 488 Google Scholar
[67]	Inoue R, Kanai N, Yonehara T, Miyamoto Y, Koashi M, Kozuma M 2006 Phys. Rev. A 74 053809 Google Scholar
[68]	Inoue R, Yonehara T, Miyamoto Y, Koashi M, Kozuma M 2009 Phys. Rev. Lett. 103 110503 Google Scholar
[69]	James D F V, Kwiat P G, Munro W J, White A G 2001 Phys. Rev. A 64 052312 Google Scholar
[70]	Clauser J F, Horne M A, Shimony A, Holt R A 1969 Phys. Rev. Lett. 23 880 Google Scholar
[71]	Spengler C, Huber M, Brierley S, Adaktylos T, Hiesmayr B C 2012 Phys. Rev. A 86 022311 Google Scholar
[72]	Hiesmayr B C, Löffler W 2013 New J. Phys. 15 083036 Google Scholar
[73]	Collins D, Gisin N, Linden N, Massar S, Popescu S 2002 Phys. Rev. Lett. 88 040404 Google Scholar
[74]	Romero J, Leach J, Jack B, Barnett S M, Padgett M J, Franke-Arnold S 2010 New J. Phys. 12 123007 Google Scholar
[75]	Gühne O, Tóth G 2009 Phys. Rep. 474 1 Google Scholar
[76]	Fickler R, Krenn M, Lapkiewicz R, Ramelow S, Zeilinger A 2013 Sci. Rep. 3 1914 Google Scholar
[77]	Bruß D 2002 J. Math. Phys. 43 4237 Google Scholar
[78]	Gühne O, Hyllus P, Bruß D, Ekert A, Lewenstein M, Macchiavello V, Sanpera A 2002 Phys. Rev. A 66 062305 Google Scholar
[79]	Agnew M, Salvail J Z, Leach J, Boyd R E 2013 Phys. Rev. Lett. 111 030402 Google Scholar
[80]	Krenn M, Huber M, Fickler R, Lapkiewicz R, Ramelow S, Zeilinger A 2014 Proc. Natl. Acad. Sci. U.S.A. 111 6243 Google Scholar
[81]	Choi K S, Deng H, Laurat J, Kimble H J 2008 Nature 452 67 Google Scholar
[82]	Kwiat P G 1997 J. Mod. Opt. 44 2173 Google Scholar
[83]	Barreiro J T, Langford N K, Peters N A, Kwiat P G 2005 Phys. Rev. Lett. 95 260501 Google Scholar
[84]	Schuck C, Huber G, Kurtsiefer C, Weinfurter H 2006 Phys. Rev. Lett. 96 190501 Google Scholar
[85]	Bozinovic1 N, Yue Y, Ren Y X, Tur M, Kristensen P, Huang H, Willner A E, Ramachandran S 2013 Science 340 1545 Google Scholar
[86]	Walborn W S, Pádua S, Monken C H 2003 Phys. Rev. A 68 042313 Google Scholar
[87]	Calsamiglia J, Lütkenhaus N 2001 Appl. Phys. B 72 67 Google Scholar
[88]	Barreiro J T, Wei T C, Kwiat P G 2008 Nat. Phys. 4 282 Google Scholar
[89]	Tiranov A, Lavoie J, Ferrier A, Goldner P, Verma V B, Nam S W, Mirin R P, Lita A E, Marsili F, Herrmann H, Silberhorn C, Gisin N, Afzelius M, Bussières F 2015 Optica 2 279 Google Scholar

施引文献

图 1 拉曼存储方案能级简图, 其中$\left| g \right\rangle $, $\left| s \right\rangle $和$\left| e \right\rangle $分别表示基态、亚稳态和激发态; $\varDelta $表示失谐量

Fig. 1. Simplified energy level diagram for Raman protocol. $\left| g \right\rangle $, $\left|s\right\rangle $ and $\left| e \right\rangle $ correspond to ground, metastable and excited state respectively; $\varDelta $ represents detuning.

下载: 全尺寸图片幻灯片

图 2 简化的能级图和实验装置图^[29]　(a)简化的SRS能级图, 态$\left| 1 \right\rangle $和$\left| 2 \right\rangle $分别对应于⁸⁵Rb原子的两个亚稳态能级5S_1/2 (F = 3)和5S_1/2(F = 2), $\left| 3 \right\rangle $和$\left| 4 \right\rangle $分别对应激发态能级5P_3/2(F' = 3)和5P_1/2(F' = 3); 泵浦光1由外腔二极管激光器(DL100, Toptica) 产生, 波长为795 nm, 与原子跃迁5S_1/2(F = 3)→5P_1/2(F' = 3)蓝失谐值70 MHz; 泵浦光2来自另一个波长为780 nm的外腔二极管激光器(DL100, Toptica), 对应5S_1/2(F = 2)→5P_3/2(F' = 3)的原子跃迁; 泵浦光1和泵浦光2被调制成脉冲模式, 脉冲宽度分别为50和160 ns, 上升沿为30 ns; 在存储过程中泵浦1和泵浦2脉冲之间的延迟时间被设置为260 ns; 泵浦1和泵浦2的激光功率分别为0.5和4 mW; 控制光来自于与泵浦光1相同的激光器, 也对应于原子跃迁5S_1/2(F = 3)到5P_1/2(F' = 3), 并蓝失谐值70 MHz, 功率为12 mW; (b)实验装置简化图, MOT 2中信号1的束腰为63 ${\text{μm}}$(MOT, 磁光阱; FC, 光纤耦合器; SLM, 空间光调制器; PBS, 偏振分束器; $\lambda$/2, 半波片)

Fig. 2. Simplified energy level diagram and experimental setup^[29]. (a) Simplified energy level diagram of the SRS. The states $\left| 1 \right\rangle $ and $\left| 2 \right\rangle $ correspond to two metastable levels 5S_1/2(F = 3) and 5S_1/2(F = 2) of ⁸⁵Rb atom respectively, $\left| 3 \right\rangle $ and $\left| 4 \right\rangle $ are the excited levels of 5P_3/2(F' = 3) and 5P_1/2(F' = 3) respectively. The pump 1 laser is from an external-cavity diode laser (DL100, Toptica) with the wavelength of 795 nm, and is blue-detuned to the atomic transition of 5S_1/2(F = 3)→5P_1/2(F' = 3) with a value of 70 MHz. The pump 2 laser is from another external-cavity diode laser (DL100, Toptica) with the wavelength of 780 nm which couples the atomic transition of 5S_1/2(F = 2)→5P_3/2(F' = 3). The pump 1 and pump 2 are modulated into pulse modes with a width of 50 and 160 ns respectively, and a rising edge of 30 ns. The delayed time between the pump 1 pulse and the pump 2 pulse is programmed to be 260 ns for the process of storage. The powers of pump 1 and pump 2 are 0.5 and 4 mW respectively. The coupling laser is from the same laser with pump 1 and is also blue-detuned to atomic transition of 5S_1/2(F = 3)→5P_1/2(F' = 3) with a value of 70 MHz, its power is about 12 mW. (b) Simplified diagram depicting the storage of entanglement of OAM state. The waist of signal 1 at MOT 2 was 63 ${\text{μm}}$. MOT, magneto-optical trap; FC, fibre coupler; SLM, spatial light modulator; PBS, polarisation beam splitter; $\lambda$/2, half-wave plate.

下载: 全尺寸图片幻灯片

图 3 存储过程中的交叉相关函数${g_{{\rm{s}}1,{\rm{s}}2}}\left( \tau \right)$^[58]　(a)信号光子1和信号光子2之间的交叉相关函数${g_{{\rm{s}}1,{\rm{s}}2}}\left( \tau \right)$, 泵浦1和泵浦2之间延迟时间为260 ns; (b), (c)和(d)是信号光子2与读出的信号光子1之间的时间相关函数${g_{{\rm{s}}1,{\rm{s}}2}}\left( \tau \right),$ 信号光子1的存储时间分别为100, 150和200 ns; (e)在没有输入信号1至MOT2的情况下收集的噪音; 所有数据均为原始数据, 无噪声校正

Fig. 3. Cross-correlated function of ${g_{{\rm{s}}1,{\rm{s}}2}}\left( \tau \right)$ in the process of storage^[58]: (a) Cross-correlated function ${g_{{\rm{s}}1,{\rm{s}}2}}\left( \tau \right)$ between signal 1 and signal 2 photons with a delayed time of 260 ns between pump 1 and pump 2; (b), (c) and (d) were the time-correlated function ${g_{{\rm{s}}1,{\rm{s}}2}}\left( \tau \right)$ between signal 2 photon and the retrieval signal 1 photon with storage time of 100, 150 and 200 ns respectively; (e) the collected noise without the input signal. The signal 1 acted as trigger photon, and the signal 2 acted as stop signal. All data were raw, without noise correction.

下载: 全尺寸图片幻灯片

图 4 (a) 存储前反斯托克斯和斯托克斯光子之间的符合; (b)存储后斯托克斯光子和恢复反斯托克斯光子之间的符合; (c)噪声符合^[58]

Fig. 4. (a) Coincidence between the anti-Stokes and Stokes photons without storage; (b) coincidence between the Stokes and retrieved anti-Stokes photons; (c) coincidence from noise ^[58].

下载: 全尺寸图片幻灯片

图 5 (a), (b)存储前后单光子失谐200 MHz的反斯托克斯光子与斯托克斯光子的符合计数; (c)噪声记录^[58]

Fig. 5. (a), (b) Coincidence between the anti-Stokes and the Stokes photons with a single photon detuning of +200 MHz before/after storage; (c) the recorded noise^[58].

下载: 全尺寸图片幻灯片

图 6 存储前后重构的密度矩阵^[29]　(a)用于重构密度矩阵的OAM态; (b)/(d)和(c)/(e)分别是存储前/后重构密度矩阵的实部和虚部, 背景噪声已被减去; 其中(b)和(c)中每组测量时间为500 s, (d)和(e)中每组测量时间为1000 s; L/R分别表示OAM为1/−1.

Fig. 6. Reconstructed density matrices before and after storage^[29]: (a) Four OAM states for reconstructing density matrix; (b)/(d) and (c)/(e) are the real and imaginary parts of the reconstructed density matrix of the state before/after storage respectively. The background noise has been subtracted. The background noise was estimated by repeating the experiment without input signal 1 photon to MOT 2. The measurement time for each data was 500 s in (b) and (c) and 1000 s in (d) and (e). L/R represents OAM = 1/−1.

下载: 全尺寸图片幻灯片

图 7 实验装置^[30], 其中透镜L1和L2用于将信号1的相位结构映射到MOT2的中心; 利用L3, L4和L5将位于MOT1中心的信号2的相位结构映射到SLM2的表面; L6和L7用于将信号2的OAM模式耦合到C2中; 图的右侧部分用于将信号1存储在MOT2, 并在读出后将其耦合到C1; C, 光纤耦合器; M, 反射镜; L, 透镜

Fig. 7. Experimental setup^[30]. Lenses L1 and L2 are used to focus signal 1 on the centre of MOT 2. L3, L4, and L5 are used to focus the phase structure of signal 2 on the center of MOT 1 onto the surface of SLM 2. L6 and L7 are used to couple OAM mode of signal 2 to C2. There is an asymmetric optical path for coupling signal 1 into C1 in right frame of figure. C, fiber coupler; M, mirror; L, lens.

下载: 全尺寸图片幻灯片

图 8 构造的三维密度矩阵^[30]　(a)和(b)分别是存储前的实部和虚部; (c)和(d)是存储后的实部和虚部

Fig. 8. Constructed density matrix of three-dimensional entanglement^[30]. Panels (a) and (b) are the real and imaginary parts before storage; panels (c) and (d) that after storage.

下载: 全尺寸图片幻灯片

图 9 (a) 和(b)是存储前后的可见度之和^[30]

Fig. 9. (a) and (b) are the sum of visibilities before and after storage^[30].

下载: 全尺寸图片幻灯片

图 10 (a) 简化的能级图, 用于产生和存储偏振纠缠和单光子的生成、存储的时序; P1是泵浦光1, P2是泵浦光2; (b)简化的实验装置; L和R是MOT A中的两个SRS过程, H和V分别代水平极化和垂直极化, P1和P2分别为来自两个声光调制器的25 ns ($\Delta t $)和160 ns的调制脉冲; MOT, 磁光阱; FC, 光纤耦合器; PBS, 偏振分束器; $\lambda$/2, 半波片; $\lambda$/4, 四分之一波片; S, Stokes光子; As, 反-Stokes光子; D1, D2和D3分别是单光子探测器1, 2和3 (PerkinElmer SPCM-AQR-15-FC); PD, 自制光电探测器; PZT, 压电陶瓷; U和D分别是输入到MOT B中的上和下光模式; P, 半波板; $\theta$, 插入相位板的相位^[58]

Fig. 10. (a) Simplified energy level diagram used to generate and store the polarization entanglement and the time sequence for the generation, storage and retrieval sequence of a single photon. P1 is pump 1 and P2 is pump 2. (b) Ssimplified setup depicting the storage of the polarization entanglement. L and R are the two SRS processes in MOT A. H and V are the horizontal and vertical polarizations, respectively. P1 and P2 are the modulated pulses with 25 ns ($\Delta t $) and 160 ns from two acoustic optic modulators, respectively. MOT, magneto-optical trap; FC, fibre coupler; PBS, polarization beam splitter; $\lambda$/2, half-wave plate; $\lambda$/4, quarter-wave plate; S, Stokes photon; As, anti-Stokes photon; D1, D2 and D3 are single photon detectors 1, 2 and 3, respectively (PerkinElmer SPCM-AQR-15-FC); PD, home-made photoelectric detector; PZT, piezoelectric transducer; U and D are the up- and down-optical modes input into MOT B, respectively; P, half-wave plate; $\theta$, the phase of the inserted phase plate ^[58].

下载: 全尺寸图片幻灯片

图 11 (a) 和(b) 分别为存储前后探测器D3探测到的Stokes光子与探测器D1 (圆形数据)和探测器D2 (三角形数据)分别探测到的反Stokes光子之间的符合计数; 实线是拟合曲线; 所有实验数据为原始数据, 没有进行误差校正; 误差为 ± 1的标准差^[58]

Fig. 11. (a) and (b) Coincidence between the Stokes photon detected by detector D3 and the anti-Stokes photon detected by detector D1 (circular data) and detector D2 (triangular data), respectively, with a different phase before/after storage. The solid lines are the fitted lines. All of the experimental data are raw data without error corrections. The error bars are ± 1 standard deviation ^[58].

下载: 全尺寸图片幻灯片

图 12 (a) 存储前输入态密度矩阵; (b)存储后输出态的密度矩阵; 所有的实验数据都是原始数据, 没有进行任何误差修正^[58]

Fig. 12. (a) Density matrices of the input state before storage; (b) the output state after storage. All of the experimental data here are raw data without any error corrections^[58].

下载: 全尺寸图片幻灯片

图 13 (a)/(c)和(b)/(d)分别为输入/输出的重构密度矩阵的实部和虚部; 所有实验数据为原始数据, 无误差校正^[58]

Fig. 13. (a)/(c) and (b)/(d) Reconstructed real and imaginary parts of the input/output density matrix, respectively. The density matrices were reconstructed with losses. All of the experimental data are raw data without error corrections^[58].

下载: 全尺寸图片幻灯片

图 14 多个DOF超纠缠的产生和存储^[59]　(a)实验装置简化图; (b)能级图和时间序列; 二维极化纠缠((c), (d))和三维OAM纠缠((e), (f))的构造密度矩阵的实部, 其中(c), (e)对应存储前; (d), (f))对应于存储后.

Fig. 14. Generation and storage of entanglement in multiple DOFs ^[59]: (a) Simplified experimental set-up; (b) energy diagram and time sequence; the real parts of the constructed density matrices for the two-dimensional polarization entanglement ((c), (d)) and the three-dimensional OAM entanglement ((e), (f)), before ((c), (e)) and after ((d), (f)) storage.

下载: 全尺寸图片幻灯片

图 15 重构的杂化纠缠的密度矩阵实部^[59]　(a)存储前; (b)存储后

Fig. 15. Real parts of the constructed density matrices for hybrid entanglement: (a) Before storage; (b) after storage ^[59].

下载: 全尺寸图片幻灯片

图 16 杂化纠缠的双光子关联干涉曲线^[59]　(a)存储前; (b)存储后; 误差由泊松统计估计, 表示为 ± s.d; 所有数据均为原始数据, 没有进行误差纠正

Fig. 16. Interference curves of the two-photon correlations for hybrid entanglement ^[59]: (a) Before storage; (b) after storage. The error bars are estimated from Poisson statistics and represent as ± s.d. All the data are raw and not subjected to noise correction.

下载: 全尺寸图片幻灯片

表 1 存储前后的${\bar p_{ij}}$以及$\bar C$

Table 1. Values of ${\bar p_{ij}}$ and $\bar C$ before and after storage.

	${\bar \rho _{{\rm{input}}}}$	${\bar \rho _{{\rm{output}}}}$
${\bar p_{00}}$	0.990393 ± 0.00006	0.998166 ± 0.000008
${\bar p_{10}}$	(4.59 ± 0.03) × 10⁻³	(9.64 ± 0.04) × 10⁻⁴
${\bar p_{01}}$	(5.04 ± 0.03) × 10⁻³	(8.71 ± 0.04) × 10⁻⁴
${\bar p_{11}}$	(1.6 ± 0.2) × 10⁻⁶	(5 ± 5) × 10⁻⁸
$\bar C$	(5.8 ± 0.2) × 10⁻³	(1.2 ± 0.4) × 10⁻³

下载: 导出CSV

map

[1]	Sangouard N, Simon C, Zhao B, Chen Y A, de Riedmatten H, Pan J W, Gisin N 2008 Phys. Rev. A 77 062301 Google Scholar
[2]	Briegel H J, Dür W, Cirac J I, Zoller P 1998 Phys. Rev. Lett. 81 5932 Google Scholar
[3]	Knill E, Laflamme R, Milburn G J 2001 Nature 409 46 Google Scholar
[4]	Ladd T D, Jelezko F, Laflamme R, Nakamura Y, Monroe C, O'Brien J L 2010 Nature 464 54 Google Scholar
[5]	Giovannetti V, Lloyd S, Maccone L 2011 Nat. Photon. 5 222 Google Scholar
[6]	Majumdar A, Bajcsy M, Rundquist A, Vučković J 2012 Phys. Rev. Lett. 108 183601 Google Scholar
[7]	Bussières F, Sangouard N, Afzelius M, de Riedmatten H, Simon C, Tittel W 2013 J. Mod. Opt. 60 1519 Google Scholar
[8]	Duan L M, Lukin M D, Cirac J I, Zoller P 2001 Nature 414 413 Google Scholar
[9]	Radnaev A G, Dudin Y O, Zhao R, Jen H H, Jenkins S D, Kuzmich A, Kennedy T A B 2010 Nat. Phys. 6 894 Google Scholar
[10]	Albrecht B, Farrera P, Gonzalvo X F, Cristiani M, de Riedmatten H 2014 Nat. Commun. 5 3376 Google Scholar
[11]	Clausen C, Usmani I, Bussières F, Sangouard N, Afzelius M, de Riedmatten H, Gisin N 2011 Nature 469 508 Google Scholar
[12]	Saglamyurek E, Sinclair N, Jin J, Slater J A, Oblak D, Bussières F, George M, Ricken R, Sohler W, Tittel W 2011 Nature 469 512 Google Scholar
[13]	Simon C, de Riedmatten H, Afzelius M, Sangouard N, Zbinden H, Gisin N 2007 Phys. Rev. Lett. 98 190503 Google Scholar
[14]	Zhang W, Ding D S, Shi S, Li Y, Zhou Z Y, Shi B S, Guo G C 2016 Phys. Rev. A 93 022316 Google Scholar
[15]	Specht H P, Nölleke C, Reiserer A, Uphoff M, Figueroa E, Ritter S, Rempe G 2011 Nature 473 190 Google Scholar
[16]	Olmschenk S, Matsukevich D N, Maunz P, Hayes D, Duan L M, Monroe C 2009 Science 323 486 Google Scholar
[17]	Kurz C, Schug M, Eich P, Huwer J, Müller P, Eschner J 2014 Nat. Commun. 5 5527 Google Scholar
[18]	Togan E, Chu Y, Trifonov A S, Jiang L, Maze J, Childress L, Dutt M V G, Sørensen A S, Hemmer P R, Zibrov A S, Lukin M D 2010 Nature 466 730 Google Scholar
[19]	Bernien H, Hensen B, Pfaff W, Koolstra G, Blok M S, Robledo L, Taminiau T H, Markham M, Twitchen D J, Childress L, Hanson R 2013 Nature 497 86 Google Scholar
[20]	Greve D G, Yu L, McMahon P L, Pelc J S, Natarajan C M, Kim N Y, Abe E, Maier S, Schneider C, Kamp M, Höfling S, Hadfield R H, Forchel A, Fejer M M, Yamamoto Y 2012 Nature 491 421 Google Scholar
[21]	Wang Q, Zhang Y S 2012 Eur. Phys. J. B 85 225 Google Scholar
[22]	Dudin Y O, Li L, Kuzmich A 2013 Phys. Rev. A 87 031801 Google Scholar
[23]	Xu Z X, Wu Y L, Tian L, Chen L, Zhang Z Y, Yan Z H, Li S J, Wang H, Xie C D, Peng K C 2013 Phys. Rev. Lett. 111 240503 Google Scholar
[24]	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, Chen Y C 2018 Phys. Rev. Lett. 120 183602 Google Scholar
[25]	Zhou S, Zhang S C, Liu C, Chen J F, Wen J M, Loy M M T, Wong G K L, Du S W 2012 Opt. Express. 20 24124 Google Scholar
[26]	Li J F, Wang Y F, Zhang S C, He J Y, Cheng A Q, Yan H, Zhu S L 2017 arXiv: 1706.01404[quant-ph]
[27]	Ding D S, Zhou Z Y, Shi B S, Guo G C 2013 Nat. Commun. 4 2527 Google Scholar
[28]	Ding D S, Zhang W, Zhou Z Y, Shi S, Pan J S, Xiang G Y, Wang X S, Jiang Y K, Shi B S, Guo G C 2014 Phys. Rev. A 90 042301 Google Scholar
[29]	Ding D S, Zhang W, Zhou Z Y, Shi S, Xiang G Y, Wang X S, Jiang Y K, Shi B S, Guo G C 2015 Phys. Rev. Lett. 114 050502 Google Scholar
[30]	Ding D S, Zhang W, Shi S, Zhou Z Y, Li Y, Shi B S, Guo G C 2016 Light: Science and Applications 5 e 5 e16157 Google Scholar
[31]	Shi B S, Ding D S, Zhang W 2018 J. Phys. B: At. Mol. Opt. Phys. 51 032004 Google Scholar
[32]	Hosseini M, Sparkes B M, Campbell G, Lam P K, Buchler B C 2011 Nat. Commun. 2 174 Google Scholar
[33]	Higginbottom D B, Sparkes B M, Rancic M, Pinel O, Hosseini M, Lam P K, Buchler B C 2012 Phys. Rev. A 86 023801 Google Scholar
[34]	Glorieux Q, Clark J B, Marino A M, Zhou Z F, Lett P D 2012 Opt. Express 20 12350 Google Scholar
[35]	Shi S, Ding D S, Zhang W, Zhou Z Y, Dong M X, Liu S L, Wang K, Shi B S, Guo G C 2017 Phys. Rev. A 95 033823 Google Scholar
[36]	Ding D S, Wu J H, Zhou Z Y, Liu Y, Shi B S, Zou X B, Guo G C 2013 Phys. Rev. A 87 013835 Google Scholar
[37]	Zhong M J, Hedges M P, Ahlefeldt R L, Bartholomew J G, Beavan S E, Wittig S M, Longdell J J, Sellars M J 2015 Nature 517 177 Google Scholar
[38]	Tang, J S, Zhou Z Q, Wang Y T, Li Y L, Liu X, Hua Y L, Zou Y, Wang S, He D Y, Chen G, Sun Y N, Yu Y, Li M F, Zha Z G, Ni H Q, Niu Z C, Li C F, Guo G C 2015 Nat. Commun. 6 8652 Google Scholar
[39]	Sinclair N, Saglamyurek E, Mallahzadeh H, Slater J A., George M, Ricken R, Hedges M P, Oblak D, Simon C, Sohler W, Tittel W 2014 Phys. Rev. Lett. 113 053603 Google Scholar
[40]	Harris S E, Field J E, Imamoğlu A 1990 Phys. Rev. Lett. 64 1107 Google Scholar
[41]	Hau L V, Harris S E, Dutton Z, Behroozi C H 1999 Nature 397 594 Google Scholar
[42]	Chanelière T, Matsukevich D N, Jenkins S D, Lan S Y, Kennedy T A B, Kuzmich A 2005 Nature 438 833 Google Scholar
[43]	Nunn J, Walmsley I A, Raymer M G, Surmacz K, Waldermann F C, Wang Z, Jaksch D 2007 Phys. Rev. A 75 011401(R)Google Scholar
[44]	Reim K F, Nunn J, Lorenz V O, Sussman B J, Lee K C, Langford N K, Jaksch D, Walmsley I A 2010 Nat. Photon. 4 218 Google Scholar
[45]	Reim K F, Michelberger P, Lee K C, Nunn J, Langford N K, Walmsley I A 2011 Phys. Rev. Lett. 107 053603 Google Scholar
[46]	Moiseev S A, Kröll S 2001 Phys. Rev. Lett. 87 173601 Google Scholar
[47]	Kraus B, Tittel W, Gisin N, Nilsson M, Kröll S, Cirac J I 2006 Phys. Rev. A 73 020302(R)Google Scholar
[48]	Afzelius M, Simon C, de Riedmatten H, Gisin N 2009 Phys. Rev. A 79 052329 Google Scholar
[49]	Alexander A L, Longdell J J, Sellars M J, Manson N B 2006 Phys. Rev. Lett. 96 043602 Google Scholar
[50]	Tittel W, Afzelius M, Chaneliére T, Cone R L, Kröll S, Moiseev S A, Sellars M 2010 Laser Photon. Rev. 4 244 Google Scholar
[51]	Michelberger P S, Champion T F M, Sprague M R, Kaczmarek K T, Barbieri M, Jin X M, England D G, Kolthammer W S, Saunders D J, Nunn J, Walmsley I A 2015 New. J. Phys. 17 043006 Google Scholar
[52]	Bustard P J, Lausten R, England D G, Sussman B J 2013 Phys. Rev. Lett. 111 083901 Google Scholar
[53]	England D G, Bustard P J, Nunn J, Lausten R, Sussman B J 2013 Phys. Rev. Lett. 111 243601 Google Scholar
[54]	Saunders D J, Munns J H D, Champion T F M, Qiu C, Kaczmarek K T, Poem E, Ledingham P M, Walmsley I A, Nunn J 2016 Phys. Rev. Lett. 116 090501 Google Scholar
[55]	Kaczmarek K T, Ledingham P M, Brecht B, Thomas S E, Thekkadath G S, Lazo-Arjona O, Munns J H D, Poem E, Feizpour A, Saunders D J, Nunn J, Walmsley I A 2018 Phys. Rev. A 97 042316 Google Scholar
[56]	Dou J P, Yang A L, Du M Y, Lao D, Gao J, Qiao L F, Li H, Pang X L, Feng Z, Tang H, Jin X M 2018 Commun. Phys. 1 55 Google Scholar
[57]	Guo J X, Feng X T, Yang P Y, Yu Z F, Chen L Q, Yuan C H, Zhang W P 2018 arXiv: 1804.10763[quant-ph]
[58]	Ding D S, Zhang W, Zhou Z Y, Shi S, Shi B S, Guo G C 2015 Nat. Photon. 9 332 Google Scholar
[59]	Zhang W, Ding D S, Dong M X, Shi S, Wang K, Liu S L, Li Y, Zhou Z Y, Shi B S, Guo G C 2016 Nat. Commun. 7 13514 Google Scholar
[60]	Liu Y, Wu J H, Shi B S, Guo G C 2012 Chin. Phys. Lett. 29 024205 Google Scholar
[61]	Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185 Google Scholar
[62]	Franke-Arnold S, Allen L, Padgett M 2008 Laser Photon. Rev. 2 299 Google Scholar
[63]	Leach J, Jack B, Romero J, Jha A K, Yao A M, Franke-Arnold S, Ireland D G, Boyd R W, Barnett S M, Padgett1 M J 2010 Science 329 662 Google Scholar
[64]	Dada A C, Leach J, Buller G S, Padgett M J, Andersson E 2011 Nat. Phys. 7 677 Google Scholar
[65]	Fickler R, Lapkiewicz R, Plick W M, Krenn M, Schaeff C, Ramelow S, Zeilinger A 2012 Science 338 640 Google Scholar
[66]	Wang J, Yang J Y, Fazal I M, Ahmed N, Yan Y, Huang H, Ren Y X, Yue Y, Dolinar S, Tur M, Willner A E 2012 Nat. Photon. 6 488 Google Scholar
[67]	Inoue R, Kanai N, Yonehara T, Miyamoto Y, Koashi M, Kozuma M 2006 Phys. Rev. A 74 053809 Google Scholar
[68]	Inoue R, Yonehara T, Miyamoto Y, Koashi M, Kozuma M 2009 Phys. Rev. Lett. 103 110503 Google Scholar
[69]	James D F V, Kwiat P G, Munro W J, White A G 2001 Phys. Rev. A 64 052312 Google Scholar
[70]	Clauser J F, Horne M A, Shimony A, Holt R A 1969 Phys. Rev. Lett. 23 880 Google Scholar
[71]	Spengler C, Huber M, Brierley S, Adaktylos T, Hiesmayr B C 2012 Phys. Rev. A 86 022311 Google Scholar
[72]	Hiesmayr B C, Löffler W 2013 New J. Phys. 15 083036 Google Scholar
[73]	Collins D, Gisin N, Linden N, Massar S, Popescu S 2002 Phys. Rev. Lett. 88 040404 Google Scholar
[74]	Romero J, Leach J, Jack B, Barnett S M, Padgett M J, Franke-Arnold S 2010 New J. Phys. 12 123007 Google Scholar
[75]	Gühne O, Tóth G 2009 Phys. Rep. 474 1 Google Scholar
[76]	Fickler R, Krenn M, Lapkiewicz R, Ramelow S, Zeilinger A 2013 Sci. Rep. 3 1914 Google Scholar
[77]	Bruß D 2002 J. Math. Phys. 43 4237 Google Scholar
[78]	Gühne O, Hyllus P, Bruß D, Ekert A, Lewenstein M, Macchiavello V, Sanpera A 2002 Phys. Rev. A 66 062305 Google Scholar
[79]	Agnew M, Salvail J Z, Leach J, Boyd R E 2013 Phys. Rev. Lett. 111 030402 Google Scholar
[80]	Krenn M, Huber M, Fickler R, Lapkiewicz R, Ramelow S, Zeilinger A 2014 Proc. Natl. Acad. Sci. U.S.A. 111 6243 Google Scholar
[81]	Choi K S, Deng H, Laurat J, Kimble H J 2008 Nature 452 67 Google Scholar
[82]	Kwiat P G 1997 J. Mod. Opt. 44 2173 Google Scholar
[83]	Barreiro J T, Langford N K, Peters N A, Kwiat P G 2005 Phys. Rev. Lett. 95 260501 Google Scholar
[84]	Schuck C, Huber G, Kurtsiefer C, Weinfurter H 2006 Phys. Rev. Lett. 96 190501 Google Scholar
[85]	Bozinovic1 N, Yue Y, Ren Y X, Tur M, Kristensen P, Huang H, Willner A E, Ramachandran S 2013 Science 340 1545 Google Scholar
[86]	Walborn W S, Pádua S, Monken C H 2003 Phys. Rev. A 68 042313 Google Scholar
[87]	Calsamiglia J, Lütkenhaus N 2001 Appl. Phys. B 72 67 Google Scholar
[88]	Barreiro J T, Wei T C, Kwiat P G 2008 Nat. Phys. 4 282 Google Scholar
[89]	Tiranov A, Lavoie J, Ferrier A, Goldner P, Verma V B, Nam S W, Mirin R P, Lita A E, Marsili F, Herrmann H, Silberhorn C, Gisin N, Afzelius M, Bussières F 2015 Optica 2 279 Google Scholar

[1]	肖懿鑫, 朱天翔, 梁澎军, 王奕洋, 周宗权, 李传锋. 聚焦离子束加工的硅酸钇波导中铕离子的光学与超精细跃迁. , 2024, 73(22): 220303. doi: 10.7498/aps.73.20241070
[2]	王云飞, 周颖, 王英, 颜辉, 朱诗亮. 量子存储性能及应用分析. , 2023, 72(20): 206701. doi: 10.7498/aps.72.20231203
[3]	周宗权. 量子存储式量子计算机与无噪声光子回波. , 2022, 71(7): 070305. doi: 10.7498/aps.71.20212245
[4]	邢雪燕, 李霞霞, 陈宇辉, 张向东. 基于光子晶体微腔的回波光量子存储. , 2022, 71(11): 114201. doi: 10.7498/aps.71.20220083
[5]	周湃, 李霞霞, 邢雪燕, 陈宇辉, 张向东. 基于掺铒晶体的光量子存储和调控. , 2022, 71(6): 064203. doi: 10.7498/aps.71.20211803
[6]	汪野, 张静宁, 金奇奂. 相干时间超过10 min的单离子量子比特. , 2019, 68(3): 030306. doi: 10.7498/aps.68.20181729
[7]	杨天书, 周宗权, 李传锋, 郭光灿. 多模式固态量子存储. , 2019, 68(3): 030303. doi: 10.7498/aps.68.20182207
[8]	窦建鹏, 李航, 庞晓玲, 张超妮, 杨天怀, 金贤敏. 量子存储研究进展. , 2019, 68(3): 030307. doi: 10.7498/aps.68.20190039
[9]	李明, 陈阳, 郭光灿, 任希锋. 表面等离激元量子信息应用研究进展. , 2017, 66(14): 144202. doi: 10.7498/aps.66.144202
[10]	邓瑞婕, 闫智辉, 贾晓军. 基于电磁诱导透明机制的压缩光场量子存储. , 2017, 66(7): 074201. doi: 10.7498/aps.66.074201
[11]	孙颖, 赵尚弘, 东晨. 基于量子存储的长距离测量设备无关量子密钥分配研究. , 2015, 64(14): 140304. doi: 10.7498/aps.64.140304
[12]	李卓, 邢莉娟. 差错基、量子码与群代数. , 2013, 62(13): 130306. doi: 10.7498/aps.62.130306
[13]	邢莉娟, 李卓, 张武军. 加强的量子汉明限. , 2011, 60(5): 050304. doi: 10.7498/aps.60.050304
[14]	王云江, 白宝明, 王新梅. 量子稀疏图码的反馈式迭代译码. , 2010, 59(11): 7591-7595. doi: 10.7498/aps.59.7591
[15]	尹辑文, 肖景林, 于毅夫, 王子武. 库仑势对抛物量子点量子比特消相干的影响. , 2008, 57(5): 2695-2698. doi: 10.7498/aps.57.2695
[16]	李卓, 邢莉娟. 量子Generalized Reed-Solomon码. , 2008, 57(1): 28-30. doi: 10.7498/aps.57.28
[17]	邢莉娟, 李卓, 白宝明, 王新梅. 量子卷积码的编译码方法. , 2008, 57(8): 4695-4699. doi: 10.7498/aps.57.4695
[18]	李卓, 邢莉娟. 一类基于级联结构的量子好码. , 2007, 56(10): 5602-5606. doi: 10.7498/aps.56.5602
[19]	张权, 唐朝京, 张森强. B92量子密钥分配协议的变形及其无条件安全性证明. , 2002, 51(7): 1439-1447. doi: 10.7498/aps.51.1439
[20]	张权, 唐朝京, 高峰. 量子Turbo码. , 2002, 51(1): 15-20. doi: 10.7498/aps.51.15

计量

文章访问数: 11161
PDF下载量: 65
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板

基于拉曼协议的量子存储