
系統識別號 
U00262708201312583800 
論文名稱(中文) 
量子遠端控制及其應用 
論文名稱(英文) 
Quantum Remote Control and Its Applications 
校院名稱 
成功大學 
系所名稱(中) 
資訊工程學系碩博士班 
系所名稱(英) 
Institute of Computer Science and Information Engineering 
學年度 
101 
學期 
2 
出版年 
102 
研究生(中文) 
陳昱廷 
研究生(英文) 
YuTing Chen 
學號 
P76001328 
學位類別 
碩士 
語文別 
英文 
論文頁數 
42頁 
口試委員 
指導教授黃宗立 口試委員李泉明 口試委員蔡家緯

中文關鍵字 
量子資訊
量子隱傳
量子遠端控制

英文關鍵字 
Quantum Information
Quantum Teleportation
Quantum Remote Control

學科別分類 

中文摘要 
近年來，隨著量子電腦的發展，量子計算和量子資訊的研究逐漸受到關注。量子電腦結合了物理學和資訊科學，能夠利用量子力學上的物理現象來進行運算。在量子力學中，量子糾纏是一種很獨特的性質，它可以視為存在於許多個別粒子當中的一種連結關係。然而，它也是一種有用的資源可被用於許多處理量子訊息的工作，像是量子隱傳、量子密度編碼、量子安全通訊、量子私密分享、量子私密比較等等。
量子隱傳不但是處理量子訊息的基本方法，也能用來傳送量子態，其過程是利用分享好的糾纏、局部的操作以及傳統的通訊來完成，而不是直接將量子態傳送出去。自從Bennett 等人證明了可以透過一組EPR pair 來傳送一顆未知的量子態，量子隱傳已經在許多不同環境被實做出來。
除了傳送量子態，量子糾纏還能用來傳送量子運算，也就是說，其中一方能從遠方對另一方的光子進行一些操作，我們稱之為量子遠端控制。Huelga 等人首先提出透過雙向的量子隱傳來進行實作，之後為了減少所需要的資源以及不同的實作方式，許多量子遠端控制相關的研究相繼被提出。
本篇論文在考慮到多方控制的情境下提出一個多方量子遠端控制的協定，其可被應用在量子私密比較，此外，結合量子隱傳以及量子遠端控制的概念，提出一個量子隱傳的協定，其可用來設計受控制的量子隱傳協定。

英文摘要 
In recent years, studies of quantum computation and quantum information have attracted a considerable amount of attention regarding the development of quantum computers. Quantum computers are a product of physics and computer science that can use quantum mechanics to execute operations. Entanglement is a particular feature of quantum mechanics that is considered a specific correlation between two or more individual particles. However, it is also a valuable resource that can be applied to various tasks of quantum information processing, such as quantum teleportation, quantum dense coding, quantum secure communication, quantum secret sharing, and quantum private comparison (QPC).
Quantum teleportation is not only one of the most fundamental manners of quantum information processing, but is also used to transmit a quantum state among distant parties. These processes are completed by using shared entanglement, local operations and classical communication rather than transmission to the quantum state directly. Since Bennett et al. first demonstrated the teleportation of an unknown quantum state through the entanglement of an EinsteinPodolskyRosen pair, teleportation has been achieved experimentally in different environments.
In addition to teleporting a quantum state, quantum entanglement can transfer a quantum operation to a distant quantum system. In other words, one party can remotely perform an operation on a particle possessed by another party, which is called quantum remote control (QRC). Huelga et al. first implemented the task through bidirectional quantum state teleportation. Several related studies have followed that have proposed reducing the required resources or different methods for implementing QRC.
In this thesis, we consider the scenario of a multicontroller and propose the multiparty QRC protocol, which can be applied in QPC. In addition, we propose a protocol combining the concept of quantum teleportation and remote control that can be applied to design a controlled quantum teleportation protocol.

論文目次 
中文摘要 IV
Abstract V
誌謝 VII
Content VIII
List of Tables X
List of Figures XI
Chapter 1 Introduction 1
1.1 Overview 1
1.2 Motivation and Contribution 2
1.3 Thesis Structure 3
Chapter 2 Preliminaries 4
2.1 Quantum Theory 4
2.1.1 The Postulates of Quantum Bit 4
2.1.2 The Quantum Unitary Operations 6
2.1.3 The Properties of Entangled States 7
2.2 Quantum Protocol 10
2.2.1 Quantum Teleportation 10
2.2.2 Quantum Remote Control 11
2.2.3 Quantum Private Comparison 12
2.2.4 Controlled Quantum Teleportation 13
Chapter 3 Multiparty Quantum Remote Control 14
3.1 Quantum Remote Control with Two Controllers 14
3.2 Multiparty Quantum Remote Control 19
3.3 Application: Quantum Private Comparison 20
3.3.1 Quantum Private Comparison Protocol 20
3.3.2 Security Analysis 23
Chapter 4 Quantum Teleportation with Remote Rotation 25
4.1 Quantum Teleportation with Remote Rotation 25
4.1.1 The Proposed Protocol 25
4.1.2 Comparison 27
4.2 MultiController Teleportation with Remote Rotation 29
4.2.1 TwoController Teleportation with Remote Rotation 29
4.2.2 NController Teleportation with Remote Rotation 33
4.3 Application: Controlled Quantum Teleportation Protocol 35
Chapter 5 Conclusion 37
Bibliography 38

參考文獻 
[1] D. Deutsch, "Quantum Theory, the ChurchTuring Principle and the Universal Quantum Computer," Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, vol. 400, pp. 97117, 1985.
[2] C. H. Bennett and S. J. Wiesner, "Communication via one and twoparticle operators on EinsteinPodolskyRosen states," Physical Review Letters, vol. 69, pp. 28812884, 1992.
[3] C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and EinsteinPodolskyRosen channels," Physical Review Letters, vol. 70, pp. 18951899, 1993.
[4] P. Shor, "PolynomialTime Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer," SIAM Journal on Computing, vol. 26, pp. 14841509, 1997.
[5] L. K. Grover, "Quantum Mechanics Helps in Searching for a Needle in a Haystack," Physical Review Letters, vol. 79, pp. 325328, 1997.
[6] C.H. Bennett and G. Brassard, "Quantum Cryptography：Public Key Distribution and Coin Tossing," Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, pp. 175179, 1984.
[7] S. Huelga, J. Vaccaro, A. Chefles, and M. Plenio, "Quantum remote control: Teleportation of unitary operations," Physical Review A, vol. 63, p. 042303, 2001.
[8] S. Huelga, M. Plenio, and J. Vaccaro, "Remote control of restricted sets of operations: Teleportation of angles," Physical Review A, vol. 65, p. 042316, 2002.
[9] S. F. Huelga, M. B. Plenio, G.Y. Xiang, J. Li, and G.C. Guo, "Remote implementation of quantum operations," Journal of Optics B: Quantum and Semiclassical Optics, vol. 7, pp. S384S391, 2005.
[10] G.Y. Xiang, J. Li, and G.C. Guo, "Teleporting a rotation on remote photons," Physical Review A, vol. 71, p. 044304, 2005.
[11] A. M. Wang, "Remote implementations of partially unknown quantum operations of multiqubits," Physical Review A, vol. 74, p. 032317, 2006.
[12] N. B. An, "Remote application of hidden operators," Physics Letters A, vol. 364, pp. 198202, 2007.
[13] A.X. Chen, L. Deng, and Q.P. Wu, "Remote Operation on Quantum State Among Multiparty," Communications in Theoretical Physics, vol. 48, p. 837, 2007.
[14] A. M. Wang, "Combined and controlled remote implementations of partially unknown quantum operations of multiqubits using GreenbergerHorneZeilinger states," Physical Review A, vol. 75, p. 062323, 2007.
[15] N. B. Zhao and A. M. Wang, "Hybrid protocol of remote implementations of quantum operations," Physical Review A, vol. 76, p. 062317, 2007.
[16] Z.j. Zhang and C.Y. Cheung, "Shared quantum remote control: quantum operation sharing," Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 44, p. 165508, 2011.
[17] A. Karlsson and M. Bourennane, "Quantum teleportation using threeparticle entanglement," Physical Review A, vol. 58, pp. 43944400, 1998.
[18] B.S. Shi and A. Tomita, "Teleportation of an unknown state by W state," Physics Letters A, vol. 296, pp. 161164, 2002.
[19] H.Y. Dai, C.Z. Li, and P.X. Chen, "Probabilistic teleportation of an arbitrary threeparticle state via a partial entangled fourparticle state and a partial entangled pair," Chinese Physics, vol. 12, p. 1354, 2003.
[20] J. Jaewoo, P. YoungJai, O. Sangchul, and K. Jaewan, "Quantum teleportation via a W state," New Journal of Physics, vol. 5, p. 136, 2003.
[21] H.Y. Dai, P.X. Chen, and C.Z. Li, "Probabilistic teleportation of an arbitrary twoparticle state by a partially entangled threeparticle GHZ state and W state," Optics Communications, vol. 231, pp. 281287, 2004.
[22] D. HongYi, C. PingXing, and L. ChengZu, "Probabilistic teleportation of an arbitrary twoparticle state by two partial threeparticle entangled W states," Journal of Optics B: Quantum and Semiclassical Optics, vol. 6, p. 106, 2004.
[23] T. Di, A. Muthukrishnan, M. O. Scully, and M. S. Zubairy, "Quantum teleportation of an arbitrary superposition of atomic Dicke states," Physical Review A, vol. 71, p. 062308, 2005.
[24] L.L. Sun, Q.B. Fan, and S. Zhang, "Probabilistic teleportation of an arbitrary twoparticle state by a partial threeparticle entangled GHZ state and a twoparticle entangled state," Chinese Physics, vol. 14, p. 1313, 2005.
[25] H.J. Cao and H.S. Song, "Teleportation of A Single Qubit State via Unique W State," International Journal of Theoretical Physics, vol. 46, pp. 16361642, 2007.
[26] D.C. Li and Z.L. Cao, "Teleportation of TwoParticle Entangled State via Cluster State," Communications in Theoretical Physics, vol. 47, p. 464, 2007.
[27] X.b. Chen, J.z. Du, Q.y. Wen, and F.c. Zhu, "Teleportation of an unknown twoparticle entangled state via an asymmetric threeparticle entanglement state," The Journal of China Universities of Posts and Telecommunications, vol. 15, pp. 102105, 2008.
[28] K. Yang, L. Huang, W. Yang, and F. Song, "Quantum Teleportation via GHZlike State," International Journal of Theoretical Physics, vol. 48, pp. 516521, 2009.
[29] S.Q. Tang, C.J. Shan, and X.X. Zhang, "Quantum Teleportation of an Unknown TwoAtom Entangled State Using FourAtom Cluster State," International Journal of Theoretical Physics, vol. 49, pp. 18991903, 2010.
[30] C.W. Tsai and T. Hwang, "Teleportation of a Pure EPR State via GHZlike State," International Journal of Theoretical Physics, vol. 49, pp. 19691975, 2010.
[31] F. Yan and T. Yan, "Probabilistic teleportation via a nonmaximally entangled GHZ state," Chinese Science Bulletin, vol. 55, pp. 902906, 2010.
[32] X. Yin, Y. Liu, Z. Zhang, W. Zhang, and Z. Zhang, "Perfect teleportation of an arbitrary threequbit state with the highly entangled sixqubit genuine state," Science China Physics, Mechanics and Astronomy, vol. 53, pp. 20592063, 2010.
[33] Y.G. Yang and Q.Y. Wen, "An efficient twoparty quantum private comparison protocol with decoy photons and twophoton entanglement," Journal of Physics A: Mathematical and Theoretical, vol. 42, p. 055305, 2009.
[34] X.B. Chen, G. Xu, X.X. Niu, Q.Y. Wen, and Y.X. Yang, "An efficient protocol for the private comparison of equal information based on the triplet entangled state and singleparticle measurement," Optics Communications, vol. 283, pp. 15611565, 2010.
[35] J. Lin, H.Y. Tseng, and T. Hwang, "Intercept–resend attacks on Chen et al.'s quantum private comparison protocol and the improvements," Optics Communications, vol. 284, pp. 24122414, 2011.
[36] W. Liu, Y.B. Wang, and Z.T. Jiang, "An efficient protocol for the quantum private comparison of equality with W state," Optics Communications, vol. 284, pp. 31603163, 2011.
[37] H.Y. Tseng, J. Lin, and T. Hwang, "New quantum private comparison protocol using EPR pairs," Quantum Information Processing, vol. 11, pp. 373384, 2011.
[38] Y. B. Li, Q. Y. Wen, F. Gao, H. Y. Jia, and Y. Sun, "Information leak in Liu et al.’s quantum private comparison and a new protocol," The European Physical Journal D, vol. 66, 2012.
[39] W. Liu and Y.B. Wang, "Quantum Private Comparison Based on GHZ Entangled States," International Journal of Theoretical Physics, vol. 51, pp. 35963604, 2012.
[40] W. Liu, Y.B. Wang, and W. Cui, "Quantum Private Comparison Protocol Based on Bell Entangled States," Communications in Theoretical Physics, vol. 57, p. 583, 2012.
[41] Y.G. Yang, J. Xia, X. Jia, and H. Zhang, "Comment on quantum private comparison protocols with a semihonest third party," Quantum Information Processing, pp. 19, 2012.
[42] W.W. Zhang and K.J. Zhang, "Cryptanalysis and improvement of the quantum private comparison protocol with semihonest third party," Quantum Information Processing, vol. 12, pp. 19811990, 2013.
[43] F. Yan and D. Wang, "Probabilistic and controlled teleportation of unknown quantum states," Physics Letters A, vol. 316, pp. 297303, 2003.
[44] C.P. Yang, S.I. Chu, and S. Han, "Efficient manyparty controlled teleportation of multiqubit quantum information via entanglement," Physical Review A, vol. 70, p. 022329, 2004.
[45] F.G. Deng, C.Y. Li, Y.S. Li, H.Y. Zhou, and Y. Wang, "Symmetric multipartycontrolled teleportation of an arbitrary twoparticle entanglement," Physical Review A, vol. 72, p. 022338, 2005.
[46] C.P. Yang and S. Han, "A scheme for the teleportation of multiqubit quantum information via the control of many agents in a network," Physics Letters A, vol. 343, pp. 267273, 2005.
[47] Z.J. Zhang and Z.X. Man, "Manyagent controlled teleportation of multiqubit quantum information," Physics Letters A, vol. 341, pp. 5559, 2005.
[48] W.X. Jiang, J.X. Fang, S.Q. Zhu, and J.Q. Sha, "Controlled Teleportation of an Unknown N qubit Entangled GHZ State," Communications in Theoretical Physics, vol. 47, p. 1045, 2007.
[49] X.M. Xiu, L. Dong, Y.J. Gao, and F. Chi, "A controlled quantum teleportation scheme of an N particle unknown state via threeparticle W 1 states," Chinese Physics, vol. 16, p. 2194, 2007.
[50] X.M. Xiu, L. Dong, Y.J. Gao, and F. Chi, "Controlled Quantum Teleportation of a OneParticle Unknown State via a ThreeParticle Entangled State," Communications in Theoretical Physics, vol. 48, p. 261, 2007.
[51] S.S. Li, Y.Y. Nie, Z.H. Hong, X.J. Yi, and Y.B. Huang, "Controlled Teleportation Using FourParticle Cluster State," Communications in Theoretical Physics, vol. 50, p. 633, 2008.
[52] W. TianYin and W. QiaoYan, "Controlled quantum teleportation with Bell states," Chinese Physics B, vol. 20, pp. 40307040307, 2011.
[53] H. Buhrman, R. Cleve, J. Watrous, and R. de Wolf, "Quantum Fingerprinting," Physical Review Letters, vol. 87, p. 167902, 2001.

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