本书以海量图像和视频安全保密为应用背景, 围绕图像和视频的特征, 从量子计算的角度对图像和视频编解码安全机制进行研究, 确立了图像和视频信息安全的量子计算理论框架, 揭示了量子图像和视频感知信息的处理本质。通过图像和视频数据的量子化表示, 开展量子图像和视频表示方法的建立、量子处理线路的构造和量子安全保密算法的设计, 为海量图像和视频的安全保密提供了新型量子计算模型。

目 录
第1章 绪论····································································································.1
1.1 研究目的及意义 ·····················································································1
1.2 量子图像和视频基础 ···············································································2
1.2.1 量子力学相关概念········································································.2
1.2.2 量子计算相关概念········································································.3
1.3 量子图像和视频相关概念 ······································································.11
1.3.1 量子图像和视频表示····································································.11
1.3.2 量子图像和视频处理····································································.20
1.3.3 量子图像和视频安全····································································.22
1.4 本书组织结构 ·····················································································.24
第2章 量子图像和视频表示···············································································26
2.1 量子图像表示 ·····················································································.26
2.2 量子彩色图像表示 QIRHSI·····································································.27
2.2.1 QIRHSI表示 ··············································································.27
2.2.2 QIRHSI的制备 ···········································································.28
2.2.3 改进的QIRHSI（IQIRHSI） ··························································.32
2.3 量子彩色图像表示 CQIPT······································································.33
2.3.1 CQIPT表示················································································.33
2.3.2 CQIPT的制备·············································································.34
2.4 量子彩色图像表示 NCQI ·······································································.36
2.4.1 NCQI表示 ·················································································.36
2.4.2 NCQI的制备 ··············································································.36
2.5 量子彩色图像表示 MCLPQI ···································································.39
2.5.1 MCLPQI表示 ·············································································.39
2.5.2 MCLPQI的制备 ··········································································.40
2.6 量子视频表示 ·····················································································.42
2.6.1 量子视频表示框架·······································································.43
2.6.2 量子视频表示QVNEQR 和 QVNCQI················································.43
2.7 本章小结 ···························································································.43
第3章 量子图像基本运算··················································································45
3.1 QIRHSI 的算术运算··············································································.45
3.1.1 量子比较器················································································.45
3.1.2 基于强度的求反操作····································································.45
3.1.3 基于强度的取补操作····································································.46
3.1.4 基于强度的加法操作····································································.47
3.1.5 基于强度的减法操作····································································.48
3.1.6 复杂度分析················································································.52
3.1.7 实验示例···················································································.54
3.2 量子噪声图像 ·····················································································.56
3.3 本章小结 ···························································································.58
第4章 量子图像几何运算··················································································59
4.1 QIRHSI 的基本几何变换········································································.59
4.1.1 两点交换···················································································.59
4.1.2 循环平移···················································································.61
4.1.3 翻折变换···················································································.62
4.1.4 直角旋转···················································································.66
4.1.5 复杂度分析················································································.68
4.1.6 实验示例···················································································.68
4.2 IQIRHSI 的尺度缩放·············································································.72
4.2.1 经典图像缩放的最近邻插值法························································.73
4.2.2 改进的量子彩色图像的缩放···························································.74
4.2.3 实验示例···················································································.77
4.3 本章小结 ···························································································.79
第5章 量子图像压缩························································································80
5.1 QIRHSI 的压缩····················································································.80
5.2 压缩率分析 ························································································.82
5.3 本章小结 ···························································································.86
第6章 量子图像水印························································································87
6.1 量子图像水印数学模型 ·········································································.87
6.1.1 量子图像水印的嵌入和提取···························································.87
6.1.2 量子图像水印的优化数学模型························································.88
6.2 基于量子小波变换的量子图像水印算法 ····················································.90
6.2.1 量子小波变换·············································································.90
6.2.2 水印算法···················································································.92
6.2.3 仿真结果及分析··········································································.93
6.3 本章小结 ···························································································.94
第7章 量子图像加密························································································95
7.1 相关知识 ···························································································.95
7.1.1 广义 Logistic 映射 ·······································································.95
7.1.2 量子 Logistic 映射 ·······································································.95
7.2 QIRHSI 加密框架·················································································.96
7.3 QIRHSI 的加密和解密···········································································.97
7.3.1 加密方案···················································································.97
7.3.2 解密方案·················································································.103
7.4 仿真结果及分析 ················································································.104
7.4.1 统计和差分分析········································································.105
7.4.2 密钥敏感性分析··········································································111
7.4.3 密钥空间分析·············································································111
7.4.4 鲁棒性分析··············································································.112
7.4.5 复杂度分析··············································································.112
7.5 本章小结 ···························································································113
第8章 量子图像秘密分享···············································································.114
8.1 量子图像秘密分享的概念 ······································································114
8.1.1 经典图像秘密分享·····································································.114
8.1.2 量子秘密分享···········································································.115
8.1.3 量子图像秘密分享概念的延伸探讨················································.115
8.2 FRQI 的秘密分享·················································································116
8.2.1 分享方案·················································································.116
8.2.2 恢复方案·················································································.120
8.3 MCQI 的秘密分享··············································································.123
8.3.1 分享方案·················································································.124
8.3.2 恢复方案·················································································.125
8.4 仿真结果及分析 ················································································.127
8.4.1 仿真结果·················································································.127
8.4.2 性能分析·················································································.127
8.5 本章小结 ·························································································.127
第9章 量子视频加密·····················································································.129
9.1 改进的 Logistic 映射 ···········································································.129
9.2 量子视频置乱 ···················································································.130
9.2.1 帧间位置置乱···········································································.130
9.2.2 帧内像素位置置乱·····································································.131
9.3 量子视频异或（XOR） ·······································································.131
9.4 量子视频的加密和解密 ·······································································.133
9.4.1 加密方案·················································································.133
9.4.2 解密方案·················································································.135
9.5 仿真结果及分析 ················································································.135
9.5.1 量子视频加密展示·····································································.136
9.5.2 安全性分析··············································································.137
9.5.3 统计分析·················································································.138
9.5.4 密钥空间分析···········································································.142
9.5.5 复杂度和实时性分析··································································.143
9.5.6 压缩率分析··············································································.143
9.6 本章小结 ·························································································.143
第10章 量子视频隐写 ···················································································.144
10.1 QVNEQR 的帧运动检测·····································································.144
10.2 大力度优惠有效量子比特位（LSQb）····························································.146
10.3 隐写算法························································································.147
10.3.1 QVNEQR 的受控比较器····························································.147
10.3.2 QVNEQR 的大力度优惠有效位隐写······················································.149
10.4 基于运动矢量的 QVNEQR 隐写···························································.151
10.5 仿真结果························································································.152
10.6 本章小结························································································.152
第11章 量子算法程序设计 ·············································································.153
11.1 MATLAB 仿真·················································································.153
11.1.1 FRQI 的 MATLAB 仿真·····························································.153
11.1.2 NEQR 的 MATLAB 仿真····························································.154
11.1.3 QIRHSI 的 MATLAB 仿真··························································.155
11.1.4 CQIPT 的 MATLAB 仿真 ···························································.157
11.1.5 量子小波变换的 MATLAB 仿真 ··················································.158
11.2 量子图像压缩的仿真·········································································.159
11.3 本章小结 ························································································.167
附录 ············································································································.168
附录 A Hilbert 空间 ·················································································.168
附录 B Fourier 变换·················································································.170
B.1 连续 Fourier 变换 ········································································.170
B.2 离散 Fourier 变换 ········································································.170
B.3 量子 Fourier 变换 ········································································.171
附录 C 图像颜色空间 ··············································································.171
C.1 彩色基础···················································································.172
C.2 RGB 模型··················································································.174
C.3 HSI 模型 ···················································································.175
C.4 模型转化···················································································.175
参考文献 ······································································································.177