||Quantum Remote Control and Its Applications
||Institute of Computer Science and Information Engineering
Quantum Remote Control
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。
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 Einstein-Podolsky-Rosen 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 multi-controller 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.
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 Multi-Controller Teleportation with Remote Rotation 29
4.2.1 Two-Controller Teleportation with Remote Rotation 29
4.2.2 N-Controller Teleportation with Remote Rotation 33
4.3 Application: Controlled Quantum Teleportation Protocol 35
Chapter 5 Conclusion 37
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