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Acta Physica Sinica

Quantum wireless wide-area networks and routing strategy

Xiaohui Liu, Min Nie, Changxing Pei

Published Jan 1, 2013• 6 citations
Publisher

Abstract

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

DOI
10.7498/aps.62.200304

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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
A quantum routing scheme is proposed to teleport a quantum state from one quantum device to another wirelessly,even though the two devices do not share EPR pairs mutually.The scheme is based on entanglement swapping and quantum teleportation.The model of quantum wireless communication network and correlative communication protocol is presented.In order to be compatible with the conventional wireless communication network,the network architecture of a twotier database structure is proposed.In terms of qubit transmission time and security,performance analysis results show that the proposed scheme is superior to quantum relay routing scheme.The proposed scheme has high scalability and practicability.
In our previous work [Phys. Rev. A 89, 022329 (2014)], we proposed a teleportation-based quantum communication scheme in a quantum wireless multihop network with arbitrary types of Bell pairs shared between adjacent nodes. Here we revised the scheme by introducing a result-mapping method for halving the classical communication cost, with which the source and intermediate nodes map the measurement outcomes to those corresponding to the target Bell pair type assigned by the destination node. A routing protocol is utilized to piggyback the target Bell pair type notification information which introduces no extra communication cost.
The distributed wireless quantum communication network (DWQCN) has a distributed network topology and transmits information by quantum states. In this paper, we present the concept of the DWQCN and propose a system scheme to transfer quantum states in the DWQCN. The system scheme for transmitting information between any two nodes in the DWQCN includes a routing protocol and a scheme for transferring quantum states. The routing protocol is on-demand and the routing metric is selected based on the number of entangled particle pairs. After setting up a route, quantum teleportation and entanglement swapping are used for transferring quantum states. Entanglement swapping is achieved along with the process of routing set up and the acknowledgment packet transmission. The measurement results of each entanglement swapping are piggybacked with route reply packets or acknowledgment packets. After entanglement swapping, a direct quantum link between source and destination is set up and quantum states are transferred by quantum teleportation. Adopting this scheme, the measurement results of entanglement swapping do not need to be transmitted specially, which decreases the wireless transmission cost and transmission delay.
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
量子保密通信包括量子密钥分发、量子安全直接通信和量子秘密共享等主要形式.在量子密钥分发和秘密共享中,传输的是随机数而不是信息,要再经过一次经典通信才能完成信息的传输.在量子信道直接传输信息的量子通信形式是量子安全直接通信.基于量子隐形传态的量子通信(简称量子隐形传态通信)是否属于量子安全直接通信尚需解释.构造了一个量子隐形传态通信方案,给出了具体的操作步骤.与一般的量子隐形传态不同,量子隐形传态通信所传输的量子态是计算基矢态,大大简化了贝尔基测量和单粒子操作.分析结果表明,量子隐形传态通信等价于包含了全用型量子密钥分发和经典通信的复合过程,不是量子安全直接通信,其传输受到中间介质和距离的影响,所以不比量子密钥分发更有优势.将该方案与量子密钥分发、量子安全直接通信和经典一次性便笺密码方案进行对比,通过几个通信参数的比较给出各个方案的特点,还特别讨论了各方案在空间量子通信方面的特点.
This study examines the development of wireless quantum communication network and advance quantum com- munication. In this paper we present the idea of system scheme to transfer quantum states in the wireless quantum communication network and advance. Quantum communication is a rapidly evolving field that will significantly impact the twenty-first century. Wireless quantum communication networks transport quantum states using a multi-hop teleportation quantum routing approach. This technique does not require compatibility with classical paths, as quantum states are transported directly along the designated path. The chance of successfully transferring a quantum state is determined using statistics. Researchers analyze statistics to optimize network performance and develop strategies for quantum state transfer success. Advancements in error correction techniques enhance the reliability of quantum communication networks. A quantum state is moved from the source to the destination using direct multi-hop teleportation on the chosen path. Statistics are used to determine the likelihood of successfully transmitting the quantum state.