摘要 研究了两组分玻色-爱因斯坦凝聚体(BECs)在一维光晶格中的隧穿动力学及周期调制效应. 在两模近似下，运用数值分析的方法, 讨论了两组分间相互作用对体系的隧穿动力学行为的影响. 进一步讨论了两组分间相互作用在周期调制下系统的动力学特性, 分析了随着调制振幅和频率的变化, 系统发生隧穿、不稳定和自俘获的区域分布, 发现在中低频调制下, 系统的隧穿动力学发生了明显的改变. 关键词: 两组分BECs / 光晶格 / 隧穿动力学 / 不规则振荡 Abstract The tunneling dynamics and periodic modulation effect of a two-component Bose-Einstein condensate in an one-dimensional optical lattice are investigated. By using the two-mode approximation, we study the influence of the interaction between two-component BECs on the tunnelling dynamics of the system numerically. The dynamic behavior of the system is investigated by adding a periodic modulation on the interaction between two-component atoms. We get the region for the onset of the tunneling, unstability and the self-trapping of the system with the changing modulation amplitude and frequency. We find that for the intermediate- and the low- frequency modulations, the dynamic behaviors of the system are dramatically different. Keywords: two-component BECs / optical lattice / tunneling dynamics / irregular oscillation 作者及机构信息 张科智, 王建军, 刘国荣, 薛具奎 1. 西北师范大学物理与电子工程学院，兰州 730070 基金项目: 国家自然科学基金(批准号：10774120,10975114),甘肃省自然科学基金(批准号: 3ZS051-A25-013) 和西北师范大学科技创新项目(批准号: NWNU-KJCXGC-03-17, NWNU-KJCXGC-03-48)资助的课题. Authors and contacts Zhang Ke-Zhi, Wang Jian-Jun, Liu Guo-Rong, Xue Ju-Kui 1. 西北师范大学物理与电子工程学院，兰州 730070 参考文献 [1] ［1］Anderson B P, Kasevich M A 1998 Science 282 1686 [2] ［2］Bronski J C, Carr L D, Deconinck B, Kutz J N 2001 Phys. Rev. Lett. 86 1402 [3] ［3］Choi D I,Niu Q 1999 Phys. Rev. Lett. 82 2022 [4] ［4］Morsch O, Muller J H, Cristiani M, Ciampini D, Arimondo E 2001 Phys. Rev. Lett. 87 140402 [5] ［5］Wu B, Niu Q 2000 Phys. Rev. A 61 023402 [6] ［6］Wu B, Diener R B, Niu Q 2002 Phys. Rev. A 65 025601 [7] ［7］Liu J, Fu L B, Ou B Y, Chen S G, Dae-II Choi, Wu B, Niu Q 2002 Phys. Rev. A 66 023404 [8] ［8］Zhang A X, Xue J K 2007 Phys. Rev. A 75 013624 [9] ［9］Xue J K 2005 Phys. Lett. A 341 527 [10] ］Diakonov D, Jensen L M, Pethick C J 2002 Phys. Rev. A 66 013064 [11] ］Mueller E J, 2002 Phys. Rev. A 66 063603 [12] ］Fallni L,Sarlo L D, Lye J E, Modugno M, Saers R,Fort C, Inyuscio M 2004 Phys. Rev. Lett. 93 140406 [13] ］Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601 [14] Wu Y, Yang X X 2003 Phys. Rev. A 68 013608 [15] ］Wu B, Niu Q 2003 New J. Phys. 5 104 Liu B, Fu L B, Yang S P, Liu J 2007 Phys. Rev. A 75 033601 [16] ］Wang G F,Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414 [17] ］Xue J K, Zhang A X 2008 Phys. Rev. Lett. 101 180401 [18] ］Xue J K, Zhang A X, Liu J 2008 Phys. Rev. A 77 013602 [19] ］Ma Y, Fu L B， Yang Zh A ，Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) ［马云、傅立斌、杨志安、刘杰 2006 物理学报 55 5623］ [20] ］Wei X F, Tang R A, Yong W M, Xue J K 2008 Chin. Phys. Lett. 25 1564 [21] ］Fang Y C, Yang Z A, Yang L Y 2008 Acta Phys. Sin. 57 0661 (in chinese) ［房永翠、杨志安、杨丽云 2008 物理学报 57 0661］ [22] ］Ziegler K 2003 Phys. Rev. A 68 053602 [23] ］Chen G H, Wu Y S 2003 Phys. Rev. A 67 013606 [24] ］Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 013619 Wang G F, Fu L B, Zhao H, Liu J 2005 Acta Phys. Sin. 54 5003(in chinese) ［王冠芳、傅立斌、赵鸿、刘杰 2005 物理学报 54 5003］ [25] ］Yan K Z,Tan W H 1999 Acta Phys. Sin. 48 1185 (in Chinese) ［闫珂柱、谭维翰 1999 物理学报 48 1185 ］Yan K Z,Tan W H 2000 Acta Phys. Sin. 49 1909 (in Chinese) ［闫珂柱、谭维翰 2000 物理学报 49 1909 ］ [26] ］Chen H J, Li H C, Xue J K 2008 Commun. Theor. Phys. 49 1519 Chen H J, Xue J K 2008 Acta Phys. Sin. 57 3962 (in chinese) ［陈海军、薛具奎 2008 物理学报 57 3962］ [27] ］Xiao Y F,Wang D L, Wang F J, Yan X H 2006 Acta Phys. Sin. 55 0547 (in Chinese) ［肖宇飞、王登龙、王凤姣、闫晓红 2006 物理学报 55 0547］ 施引文献
摘要 研究了两组分玻色-爱因斯坦凝聚体(BECs)在一维光晶格中的隧穿动力学及周期调制效应. 在两模近似下，运用数值分析的方法, 讨论了两组分间相互作用对体系的隧穿动力学行为的影响. 进一步讨论了两组分间相互作用在周期调制下系统的动力学特性, 分析了随着调制振幅和频率的变化, 系统发生隧穿、不稳定和自俘获的区域分布, 发现在中低频调制下, 系统的隧穿动力学发生了明显的改变. 关键词: 两组分BECs / 光晶格 / 隧穿动力学 / 不规则振荡 Abstract The tunneling dynamics and periodic modulation effect of a two-component Bose-Einstein condensate in an one-dimensional optical lattice are investigated. By using the two-mode approximation, we study the influence of the interaction between two-component BECs on the tunnelling dynamics of the system numerically. The dynamic behavior of the system is investigated by adding a periodic modulation on the interaction between two-component atoms. We get the region for the onset of the tunneling, unstability and the self-trapping of the system with the changing modulation amplitude and frequency. We find that for the intermediate- and the low- frequency modulations, the dynamic behaviors of the system are dramatically different. Keywords: two-component BECs / optical lattice / tunneling dynamics / irregular oscillation 作者及机构信息 张科智, 王建军, 刘国荣, 薛具奎 1. 西北师范大学物理与电子工程学院，兰州 730070 基金项目: 国家自然科学基金(批准号：10774120,10975114),甘肃省自然科学基金(批准号: 3ZS051-A25-013) 和西北师范大学科技创新项目(批准号: NWNU-KJCXGC-03-17, NWNU-KJCXGC-03-48)资助的课题. Authors and contacts Zhang Ke-Zhi, Wang Jian-Jun, Liu Guo-Rong, Xue Ju-Kui 1. 西北师范大学物理与电子工程学院，兰州 730070 参考文献 [1] ［1］Anderson B P, Kasevich M A 1998 Science 282 1686 [2] ［2］Bronski J C, Carr L D, Deconinck B, Kutz J N 2001 Phys. Rev. Lett. 86 1402 [3] ［3］Choi D I,Niu Q 1999 Phys. Rev. Lett. 82 2022 [4] ［4］Morsch O, Muller J H, Cristiani M, Ciampini D, Arimondo E 2001 Phys. Rev. Lett. 87 140402 [5] ［5］Wu B, Niu Q 2000 Phys. Rev. A 61 023402 [6] ［6］Wu B, Diener R B, Niu Q 2002 Phys. Rev. A 65 025601 [7] ［7］Liu J, Fu L B, Ou B Y, Chen S G, Dae-II Choi, Wu B, Niu Q 2002 Phys. Rev. A 66 023404 [8] ［8］Zhang A X, Xue J K 2007 Phys. Rev. A 75 013624 [9] ［9］Xue J K 2005 Phys. Lett. A 341 527 [10] ］Diakonov D, Jensen L M, Pethick C J 2002 Phys. Rev. A 66 013064 [11] ］Mueller E J, 2002 Phys. Rev. A 66 063603 [12] ］Fallni L,Sarlo L D, Lye J E, Modugno M, Saers R,Fort C, Inyuscio M 2004 Phys. Rev. Lett. 93 140406 [13] ］Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601 [14] Wu Y, Yang X X 2003 Phys. Rev. A 68 013608 [15] ］Wu B, Niu Q 2003 New J. Phys. 5 104 Liu B, Fu L B, Yang S P, Liu J 2007 Phys. Rev. A 75 033601 [16] ］Wang G F,Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414 [17] ］Xue J K, Zhang A X 2008 Phys. Rev. Lett. 101 180401 [18] ］Xue J K, Zhang A X, Liu J 2008 Phys. Rev. A 77 013602 [19] ］Ma Y, Fu L B， Yang Zh A ，Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) ［马云、傅立斌、杨志安、刘杰 2006 物理学报 55 5623］ [20] ］Wei X F, Tang R A, Yong W M, Xue J K 2008 Chin. Phys. Lett. 25 1564 [21] ］Fang Y C, Yang Z A, Yang L Y 2008 Acta Phys. Sin. 57 0661 (in chinese) ［房永翠、杨志安、杨丽云 2008 物理学报 57 0661］ [22] ］Ziegler K 2003 Phys. Rev. A 68 053602 [23] ］Chen G H, Wu Y S 2003 Phys. Rev. A 67 013606 [24] ］Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 013619 Wang G F, Fu L B, Zhao H, Liu J 2005 Acta Phys. Sin. 54 5003(in chinese) ［王冠芳、傅立斌、赵鸿、刘杰 2005 物理学报 54 5003］ [25] ］Yan K Z,Tan W H 1999 Acta Phys. Sin. 48 1185 (in Chinese) ［闫珂柱、谭维翰 1999 物理学报 48 1185 ］Yan K Z,Tan W H 2000 Acta Phys. Sin. 49 1909 (in Chinese) ［闫珂柱、谭维翰 2000 物理学报 49 1909 ］ [26] ］Chen H J, Li H C, Xue J K 2008 Commun. Theor. Phys. 49 1519 Chen H J, Xue J K 2008 Acta Phys. Sin. 57 3962 (in chinese) ［陈海军、薛具奎 2008 物理学报 57 3962］ [27] ］Xiao Y F,Wang D L, Wang F J, Yan X H 2006 Acta Phys. Sin. 55 0547 (in Chinese) ［肖宇飞、王登龙、王凤姣、闫晓红 2006 物理学报 55 0547］ 施引文献
摘要 本文利用全量子理论，在非旋波近似下对单模相干态光场与级联型三能级原子相互作用过程中场熵随时间的演化进行了精确求解.数值计算的结果表明：随着初始时刻平均光子数n以及光场与原子的耦合强度u, v的增大，场熵的平均值先增大后减小,因此纠缠度也同样先增大后减小；随着失谐量Δ的增大，场熵的平均值逐渐减小，因此纠缠度也逐渐减小. 关键词: 相干态正交化展开 / 非旋波近似 / 场熵 Abstract In this paper,the evolution of field entropy in the system of single-mode coherent light field interacting with a three-level cascade type atom is calculated exactly in the frame of complete quantum theory and without rotating wave approximation.The numerical results indicate that with the increases of the initial mean photon number n and the atom-field coupling strengths u and v the mean value of the field entropy increases at first and then decreases.Therefore,the degrees of entanglement also increase at first and then decrease.The mean value of the entropy of the field decreases with the enlarging of the detuning Δ, which leads to the decrease of the degrees of entanglement. Keywords: coherent-state orthogonalization expansion / without rotating wave approximation / field entropy 作者及机构信息 丛红璐, 任学藻, 姜道来, 廖旭 1. 西南科技大学理学院,绵阳 621010 基金项目: 四川省自然科学基金(批准号: 2006C028)资助的课题. Authors and contacts Cong Hong-Lu, Ren Xue-Zao, Jiang Dao-Lai, Liao Xu 1. 西南科技大学理学院,绵阳 621010 参考文献 [1] ［1］Phoenix S J D, Knight P L 1988 Ann. Phys. 186 381 [2] ［2］ Phoenix S J D, Knight P L 1991 Phys. Rev. A 44 6023 [3] ［3］Obada A S F, Ahmed M M A, Faramawy F K, Khalil E M 2004 Chin. J. Phys. 42 80 [4] ［4］Faisal A A E, Wahiddin M R B, Obada A S F 2008 Opt. Commun. 281 2854 [5] ［5］Liu S M 2003 Chin. J. Quantum. Electron. 20 725 (in Chinese) ［刘素梅 2003 量子电子学报 20 725］ [6] ［6］Zou Y, Li Y P 2009 Chin. Phys. B 18 2794 [7] ［7］Zhang J F, Tan L, Liu L W, Ding C Y 2008 Acta Phys. Sin. 57 2205 (in Chinese) ［张金芳、谭磊、刘利伟、丁彩英 2008 物理学报 57 2205］ [8] ［8］Hu X P, Guo H 2009 Acta Phys. Sin. 58 272 (in Chinese) ［胡孝平、郭红 2009 物理学报 58 272］ [9] ［9］Liu T, Feng M，Wang K L 2007 Commun. Theor. Phys. 47 561 [10] ］Zhang Z J, Wang K L，Qin G 2005 Chin. Phys. 14 1317 [11] ］T Liu, K L Wang, M Feng 2007 J. Phys. B:At. Mol. Opt.2 Phys. 40 1967 [12] ］Fan Y X, Liu T, Feng M, Wang K L 2007 Commun. Theor. Phys. 47 781 [13] ］Liu T, Fan Y X, Huang S W, Wang K L, Wang Y 2007 Commun. Theor. Phys. 47 791 [14] ］Ren X Z, Jiang D L, Cong H L, Liao X 2009 Acta Phys. Sin. 58 5394 (in Chinese) ［任学藻、姜道来、丛红璐、廖旭 2009 物理学报 58 5394］ [15] ］Ren X Z, Liao X, Huang S W, Wang K L 2009 Acta Phys. Sin. 58 2680 (in Chinese) ［任学藻、廖旭、黄书文、汪克林 2009 物理学报 58 2680］ [16] ］Ren X Z, Liao X, Liu T, Wang K L 2006 Acta Phys. Sin. 55 2865 (in Chinese) ［任学藻、廖旭、刘涛、汪克林 2006 物理学报 55 2865］ [17] ］Chen Q H，Zhang Y Y, Liu T, Wang K L 2008 Phys. Rev. A 78 1050 施引文献
摘要 提出了一种基于多阶量子隐形传态的量子路由方案, 在量子移动终端之间没有共享纠缠对的情况下, 仍然可以完成量子态的无线传输. 该量子路由方案可以用来构建量子无线广域网, 其传输时延与所经过的链路距离和基站数目无关, 传输一个量子态所需的时间与采用量子隐形传态所需的时间相同. 因此, 从数据传输速率的观点来看, 该方案优于基于纠缠交换的量子路由方案. 关键词: 量子通信 / 多阶量子隐形传态 / 量子路由 / 量子无线广域网 Abstract According to multistage quantum teleportation, we here propose a quantum routing scheme which teleports a quantum state from one quantum device to another wirelessly even though the two devices which do not share entangled photon pairs mutually. By the quantum routing scheme, the model of quantum wireless wide-area networks is presented. In terms of time complexity, the proposed scheme transports a quantum bit in the time almost the same as the quantum teleportation regardless of the number of hops between the source and destination node. From this point of view, the quantum routing scheme is close to optimal scheme in data transmission time. The correlative routing process is proposed under different conditions. The quantum state is transferred by multistage quantum teleportation, therefore, the information transfer between any two nodes in quantum wireless wide-area networks is realized. Keywords: quantum communication / multistage quantum teleportation / quantum routing / quantum wireless wide-area networks 作者及机构信息 刘晓慧1 2, 聂敏1, 裴昌幸2 1. 西安邮电大学通信与信息工程学院, 西安 710061; 2. 西安电子科技大学, 综合业务网理论及关键技术国家重点实验室, 西安 710071 基金项目: 国家自然科学基金(批准号: 61072067, 61172071)、国家重点实验室专项基金(批准号: ISN1001004) 和陕西省教育厅专项科研计划(批准号: 2011JK1017)资助的课题. Authors and contacts Liu Xiao-Hui1 2, Nie Min1, Pei Chang-Xing2 1. School of Communication and Information Engineering, Xi’an University of Post and Telecommunication, Xi’an 710061, China; 2. State Key Laboratory of Integrated Service Networks, Xidian University, Xi’an 710071, China Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61072067, 61172071), the State Key Laboratory of Integrated Services Networks, China (Grant No. ISN1001004), and the Scientific Research Project of the Education Department of Shaanxi Province, China (Grant No. 2011JK1017). 参考文献 [1] Li S, Ma H Q, Wu L A, Zhai G J 2013 Acta Phys. Sin. 62 084214 (in Chinese) [李申, 马海强, 吴令安, 翟光杰 2013 物理学报 62 084214] [2] Guo B H, Yang L, Xiang C, Guan C, Wu L A, Liu S H 2013 Acta Phys. Sin. 62 130303 (in Chinese) [郭邦红, 杨理, 向憧, 关翀, 吴令安, 刘颂豪 2013 物理学报 62 130303] [3] Bouwmeester D, Pan J W, Mattle K, Manfred E, Weinfurter H, Zeilinger A 1997 Nature 390 575 [4] Chen P, Deng F G, Long G L 2006 Chin. Phys. 15 2228 [5] Pan J W, Simon C, Brukner C, Zellinger A 2001 Nature 410 1067 [6] Jin X M, Ren J G, Yang B, Yi Z H, Zhou F, Xu X F, Wang S K, Yang D, Hu Y F, Jiang S, Yang T, Yin H, Chen K, Peng C Z, Pan J W 2010 Nature Photon. 4 376 [7] Yin J, Ren J G, Lu H, Cao Y, Yong H L, Wu Y P, Liu C, Liao S K, Zhou F, Jiang Y, Cai X D, Xu P, Pan G S, Jia J J, Huang Y M, Yin H, Wang J Y, Chen Y A, Peng C Z, Pan J W 2012 Nature 488 185 [8] Kwait P G, Waks E, White A G, Appelbaum I, Eberhard P H 1999 Phys. Rev. A 60 R773 [9] Raimond J M, Brune M, Haroche S 2001 Rev. Mod. Phys. 73 565 [10] Sun B, Chapman M S, You L 2004 Phys. Rev. A 69 042316 [11] Artur S, Regina B H, Barry C S, Wolfgang T 2009 Phys. Rev. A 80 062310 [12] Dousse A, Suffczyński J, Beveratos A, Krebs O, Lemaître A, Sagnes I, Bloch J, Voisin P, Senellart P 2010 Nature 466 217 [13] Guo Z, Yan L S, Pan W, Luo B, Xu M F 2011 Acta Phys. Sin. 60 060301 (in Chinese) [郭振, 闫连山, 潘炜, 罗斌, 徐明峰 2011 物理学报 60 060301] [14] Song K H, Zhang W J, Guo G C 2002 Chin. Phys. 11 218 [15] Peng C Z, Yang T, Bao X H, Zhang J, Jin X M, Feng F Y, Yang B, Yang J, Yin J, Zhang Q, Li N, Tian B L, Pan J W 2005 Phys. Rev. Lett. 94 150501 [16] Bourgoin J P, Meyer-Scott E, Higgins B L, Helou B, Erven C, Hbel H, Kumar B, Hudson D, D’Souza I, Girard R, Laflamme R, Jennewein T 2013 New J. Phys. 15 023006 [17] Liu X H, Pei C X, Nie M 2010 Chin. Phys. Lett. 27 120303 [18] Zhu C H, Pei C X, Ma H X, Yu X F 2006 J. Xidian Univ. 33 839 (in Chinese) [朱畅华, 裴昌幸, 马怀新, 于晓飞 2006 西安电子科技大学学报 33 839] [19] Zhou X Q, Wu Y W, Zhao H 2011 Acta Phys. Sin. 60 040304 (in Chinese) [周小清, 邬云文, 赵晗 2011 物理学报 60 040304] [20] Yu X T, Xu J, Zhang Z C 2012 Acta Phys. Sin. 61 220303 (in Chinese) [余旭涛, 徐进, 张在琛 2012 物理学报 61 220303] 施引文献
摘要 提出了一种两类正交基矢按照特定要求相互转换的幺正变换生成方法. 特定要求为第一类基矢中特定的四种典型基矢经幺正变换后, 第三个量子比特特定为|0>, 而四种非典型基矢经幺正变换后, 第三个量子比特为|1>. 将该幺正变换应用于量子数据压缩, 准确度达到0.942. 该方法的提出为量子压缩和解压缩的实现提供了基础, 对于其他要求特定对应关系的幺正变换的生成具有借鉴意义. 关键词: 幺正变换 / 正交基矢 / 特定要求 / 量子压缩 Abstract An algorithm to generate unitary transformation (UT) of two orthogonal base kets is proposed in this paper. Certain requirements that UT must meet are as follows: four typical base kets in the first category can be transformed into states with the last qubit |0>, and the other four atypical base kets can be transformed into states with the last qubit |1>. This UT is applied to quantum data compression, with a result that the fidelity of the compression is 0.942. This method provides an important basis for realizing quantum compression and decompression. And it can be an important reference of other UT generation method which must fulfill some requirements. Keywords: unitary transformation / orthogonal base ket / certain requirement / quantum compression 作者及机构信息 梁彦霞, 聂敏 1. 西安邮电大学通信与信息工程学院, 西安 710121 基金项目: 国家自然科学基金(批准号: 61172071, 61102047)、国家科技重大专项(批准号: 2012ZX03001025-004)和陕西省教育厅科研计划专项(批准号: 11JK1016)资助的课题. Authors and contacts Liang Yan-Xia, Nie Min 1. School of Telecommunication and Information Engineering, Xi’an University of Posts and Telecommunications, Xi’an 710121, China Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61172071, 61102047), the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2012ZX03001025-004 ), and the Special Scientific Research Fundation of the Education Department of Shaanxi Province, China (Grant No. 11JK1016). 参考文献 [1] Li S, Ma H Q, Wu L A, Zhai G J 2013 Acta Phys. Sin. 62 084214 (in Chinese) [李申, 马海强, 吴令安, 翟光杰 2013 物理学报 62 084214] [2] Zhou N R, Zeng B Y, Wang L J, Gong L H 2010 Acta Phys. Sin. 59 2193 (in Chinese) [周南润, 曾宾阳, 王立军, 龚黎华 2010 物理学报 59 2193] [3] Zhou N R, Zeng G H, Gong L H, Liu S Q 2007 Acta Phys. Sin. 56 5066 (in Chinese) [周南润, 曾贵华, 龚黎华, 刘三秋 2007 物理学报 56 5066] [4] Sheng Y B, Zhou L, Cheng W W, Gong L Y, Zhao S M, Zheng B Y 2012 Chin. Phys. B 21 030307 [5] Zhang C L, Wang C, Cao C, Zhang R 2012 Chin. Phys. Lett. 29 070305 [6] Yu X T, Xu J, Zhang Z C 2012 Acta Phys. Sin. 61 220303 (in Chinese) [余旭涛, 徐进, 张在琛 2012 物理学报 61 220303] [7] Zhou X Q, Wu Y W 2012 Acta Phys. Sin. 61 170303 (in Chinese) [周小清, 邬云文 2012 物理学报 61 170303] [8] Zhou X Q, Wu Y W, Zhao H 2011 Acta Phys. Sin. 60 040304 (in Chinese) [周小清, 邬云文, 赵晗 2011 物理学报 60 040304] [9] Wang M Y, Yan F L 2011 Chin. Phys. B 20 120309 [10] Guo Yu, Luo X B 2012 Chin. Phys. Lett. 29 060303 [11] Zhu W, Nie M 2013 Acta Phys. Sin. 62 130304 (in Chinese) [朱伟, 聂敏 2013 物理学报 62 130304] [12] Schumacher B 1995 Phys. Rev. A 51 2738 [13] Cleve R, Divicenzo D 1996 Phys. Rev. A 54 2636 [14] Jozsa R, Horodecki M, Horodecki P, Horodecki R 1998 Phys. Rev. Lett. 81 1714 [15] Ahn C, Doherty A C, Hayden P, Winter A J 2006 IEEE Trans. Inform. Theory 52 4349 [16] Avis D, Hayden P, Savov I 2008 Proceedings of 2008 Sencond International Conference on Quantum Nano and Micro Technologies Sainte Luce, Martinique, February 10-15, 2008 p90 [17] Hayashi M 2002 Phys. Rev. A 66 032321 [18] Hayashi M, Matsumoto K 2002 Phys. Rev. A 66 022311 [19] Chuang I L, Modha D S 2000 IEEE Trans. Inform. Theory 46 1104 [20] Desuvire E 2009 Classical and Quantum Information Theory (New York: Cambridge University Press) p457 施引文献