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| 1 | +\documentclass{article} |
| 2 | +\usepackage[utf8]{inputenc} |
| 3 | +\usepackage{algorithm} |
| 4 | +\usepackage{algpseudocode} |
| 5 | +\usepackage{braket} |
| 6 | +\usepackage{amsmath, amsfonts, amssymb, amsthm} |
| 7 | + |
| 8 | +\newcommand{\norm}[1]{\left\lVert#1\right\rVert} |
| 9 | +\algrenewcommand\algorithmicrequire{\textbf{Input:}} |
| 10 | +\algrenewcommand\algorithmicensure{\textbf{Output:}} |
| 11 | + |
| 12 | +\makeatletter |
| 13 | +\renewcommand{\fnum@algorithm}{\fname@algorithm} |
| 14 | +\makeatother |
| 15 | + |
| 16 | + |
| 17 | + |
| 18 | +\usepackage{amsfonts} |
| 19 | +%\usepackage{braket} |
| 20 | +\usepackage[bottom]{footmisc} |
| 21 | +\usepackage{xcolor} |
| 22 | +\usepackage{amsmath} |
| 23 | +\usepackage{enumerate} |
| 24 | +\usepackage{tikz} |
| 25 | +\usetikzlibrary{matrix,decorations.pathreplacing,quantikz} |
| 26 | +\usepackage{mleftright} |
| 27 | +\usepackage{amssymb} |
| 28 | +\usepackage{mathabx} |
| 29 | +\usepackage[margin=20pt]{geometry} |
| 30 | + |
| 31 | +\usetikzlibrary{math} |
| 32 | + |
| 33 | +\begin{document} |
| 34 | +\pagestyle{empty} |
| 35 | + |
| 36 | + |
| 37 | + |
| 38 | +\begin{tikzpicture} |
| 39 | + % address register |
| 40 | + \draw (0, 0) node{\small $\ket{i_0}$}; |
| 41 | + \draw (0, 0.5) node{\small $\ket{i_1}$}; |
| 42 | + \draw (0, 1) node{\small $\ket{i_2}$}; |
| 43 | + |
| 44 | + % memory register |
| 45 | + \draw (0, -12) node{\small $\ket{m_{000}}$}; |
| 46 | + \draw (0, -12.5) node{\small $\ket{m_{001}}$}; |
| 47 | + \draw (0, -13) node{\small $\ket{m_{010}}$}; |
| 48 | + \draw (0, -13.5) node{\small $\ket{m_{011}}$}; |
| 49 | + \draw (0, -14) node{\small $\ket{m_{100}}$}; |
| 50 | + \draw (0, -14.5) node{\small $\ket{m_{101}}$}; |
| 51 | + \draw (0, -15) node{\small $\ket{m_{110}}$}; |
| 52 | + \draw (0, -15.5) node{\small $\ket{m_{111}}$}; |
| 53 | + |
| 54 | + % ancilla qubits register |
| 55 | + \draw (0, 2) node{\small $\ket{a_0}$}; |
| 56 | + \draw (0, 2.5) node{\small $\ket{a_1}$}; |
| 57 | + \draw (0, 3) node{\small $\ket{a_2}$}; |
| 58 | + |
| 59 | + |
| 60 | + % target register |
| 61 | + \draw (0, -16.5) node{\small $\ket{b}$}; |
| 62 | + |
| 63 | + % horizontal line ancilla register |
| 64 | + \draw [-] [thick] (0+0.3, 2) to (16, 2); |
| 65 | + \draw [-] [thick] (0+0.3, 2.5) to (16, 2.5); |
| 66 | + \draw [-] [thick] (0+0.3, 3) to (16, 3); |
| 67 | + |
| 68 | + % horizontal lines address register |
| 69 | + \draw [-] [thick] (0+0.3, 0) to (16, 0); |
| 70 | + \draw [-] [thick] (0+0.3, 0.5) to (16, 0.5); |
| 71 | + \draw [-] [thick] (0+0.3, 1) to (16, 1); |
| 72 | + |
| 73 | + % horizontali lines memory and target |
| 74 | + \draw [-] [thick] (0+0.5, -12-0.1) to (16, -12-0.1); |
| 75 | + \draw [-] [thick] (0+0.5, -12.5-0.1) to (16, -12.5-0.1); |
| 76 | + \draw [-] [thick] (0+0.5, -13-0.1) to (16, -13-0.1); |
| 77 | + \draw [-] [thick] (0+0.5, -13.5-0.1) to (16, -13.5-0.1); |
| 78 | + \draw [-] [thick] (0+0.5, -14-0.1) to (16, -14-0.1); |
| 79 | + \draw [-] [thick] (0+0.5, -14.5-0.1) to (16, -14.5-0.1); |
| 80 | + \draw [-] [thick] (0+0.5, -15.5-0.1) to (16, -15.5-0.1); |
| 81 | + \draw [-] [thick] (0+0.5, -15-0.1) to (16, -15-0.1); |
| 82 | + |
| 83 | + \draw [-] [thick] (0+0.5, -16.5) to (16, -16.5); |
| 84 | + |
| 85 | + |
| 86 | + % double lines for classical memory register |
| 87 | + \draw [-] [thick] (0+0.5, -12) to (16, -12); |
| 88 | + \draw [-] [thick] (0+0.5, -12.5) to (16, -12.5); |
| 89 | + \draw [-] [thick] (0+0.5, -13) to (16, -13); |
| 90 | + \draw [-] [thick] (0+0.5, -13.5) to (16, -13.5); |
| 91 | + \draw [-] [thick] (0+0.5, -14) to (16, -14); |
| 92 | + \draw [-] [thick] (0+0.5, -14.5) to (16, -14.5); |
| 93 | + \draw [-] [thick] (0+0.5, -15.5) to (16, -15.5); |
| 94 | + \draw [-] [thick] (0+0.5, -15) to (16, -15); |
| 95 | + \draw [-] [thick] (0+0.5, -16.5) to (16, -16.5); |
| 96 | + |
| 97 | + |
| 98 | + |
| 99 | + % ANCILLA REGISTERS |
| 100 | + % central ancilla register |
| 101 | + \draw (0, -6) node{\small $\ket{0}$}; |
| 102 | + \draw (0, -6.5) node{\small $\ket{1}$}; |
| 103 | + |
| 104 | + % above and below angilla register pt 2 |
| 105 | + \draw (3, -4) node{\small $\ket{0}$}; |
| 106 | + %\draw (3, -4.5) node{\small $\ket{1}$}; |
| 107 | + |
| 108 | + \draw (3, -8) node{\small $\ket{0}$}; |
| 109 | + %\draw (3, -8.5) node{\small $\ket{1}$}; |
| 110 | + |
| 111 | + |
| 112 | + % above and below kets pt 3 |
| 113 | + \draw (6, -2) node{\small $\ket{0}$}; |
| 114 | + %\draw (6, -2.5) node{\small $\ket{1}$}; |
| 115 | + |
| 116 | + \draw (6, -10) node{\small $\ket{0}$}; |
| 117 | + %\draw (6, -10.5) node{\small $\ket{1}$}; |
| 118 | + |
| 119 | + \draw (6, -5) node{\small $\ket{0}$}; |
| 120 | + %\draw (6, -5.5) node{\small $\ket{1}$}; |
| 121 | + |
| 122 | + \draw (6, -7) node{\small $\ket{0}$}; |
| 123 | + %\draw (6, -7.5) node{\small $\ket{1}$}; |
| 124 | + |
| 125 | + |
| 126 | + |
| 127 | + % horizontal lines 2nd level of ancillas |
| 128 | + \draw [-] [thick] (0+0.3, -6) to (3+0.5, -6); % 0 |
| 129 | + \draw [-] [thick] (0+0.3, -6.5) to (3+0.5, -6.5); % 1 |
| 130 | + |
| 131 | + |
| 132 | + % % horizontal lines pt 2 |
| 133 | + \draw [-] [thick] (3+0.5, -4.5) to (3+3.5, -4.5); % 1 |
| 134 | + \draw [-] [thick] (3+0.5, -8.5) to (3+3.5, -8.5); % 1 |
| 135 | + |
| 136 | + \draw [-] [thick] (3+0.2, -4) to (3+3.5, -4); % 0 |
| 137 | + \draw [-] [thick] (3+0.2, -8) to (3+3.5, -8); % 0 |
| 138 | + |
| 139 | + |
| 140 | + % % horizontal lines pt 3 |
| 141 | + \draw [-] [thick] (6+0.5-0.2, -2) to (16, -2); % 0 |
| 142 | + \draw [-] [thick] (6+0.5, -2.5) to (16, -2.5); % 1 |
| 143 | + |
| 144 | + \draw [-] [thick] (6+0.5-0.2, -5) to (16, -5); % 0 |
| 145 | + \draw [-] [thick] (6+0.5, -5.5) to (16, -5.5); % 1 |
| 146 | + |
| 147 | + \draw [-] [thick] (6+0.5-0.2, -7) to (16, -7); % 0 |
| 148 | + \draw [-] [thick] (6+0.5, -7.5) to (16, -7.5); % 1 |
| 149 | + |
| 150 | + \draw [-] [thick] (6+0.5-0.2, -10) to (16, -10); % 0 |
| 151 | + \draw [-] [thick] (6+0.5, -10.5) to (16, -10.5); % 1 |
| 152 | + |
| 153 | + |
| 154 | + % vertical lines (central to external) |
| 155 | + \draw [-] [thick] (3+0.5, -6) to (3+0.5, -4.5); % 0 -> 1 |
| 156 | + \draw [-] [thick] (3+0.5, -6.5) to (3+0.5, -8.5); |
| 157 | + |
| 158 | + \draw [-] [thick] (6+0.5, -4) to (6+0.5, -2.5); |
| 159 | + \draw [-] [thick] (6+0.5, -4.5) to (6+0.5, -5); |
| 160 | + \draw [-] [thick] (6+0.5, -8.5) to (6+0.5, -10.5); % 4th |
| 161 | + \draw [-] [thick] (6+0.5, -8) to (6+0.5, -7.5); |
| 162 | + |
| 163 | + |
| 164 | + |
| 165 | + |
| 166 | + % CNOTS |
| 167 | + \draw[fill=black] (0+0.3+1, 0) circle [radius=0.1]; |
| 168 | + \draw (0+0.3+1, -6) [thick] circle (0.13); |
| 169 | + \draw [-] [thick] (0+0.3+1, 0) to (0+0.3+1, -6); |
| 170 | + \draw [-] [thick] (0+0.3+1, -6-0.1) to (0+0.3+1, -6+0.1); |
| 171 | + |
| 172 | + \draw[fill=black] (2, -6) circle [radius=0.1]; |
| 173 | + \draw (2, -6.5) [thick] circle (0.13); |
| 174 | + \draw [-] [thick] (2, -6) to (2, -6.5); |
| 175 | + \draw [-] [thick] (2, -6.5+0.1) to (2, -6.5-0.1); |
| 176 | + |
| 177 | + |
| 178 | + \draw[fill=black] (3+0.3+1, 0.5) circle [radius=0.1]; |
| 179 | + \draw (3+0.3+1, -4) [thick] circle (0.13); |
| 180 | + \draw [-] [thick] (3+0.3+1, 0.5) to (3+0.3+1, -4); |
| 181 | + \draw [-] [thick] (3+0.3+1, -4.5) to (3+0.3+1, -4); |
| 182 | + \draw[fill=black] (3+0.3+1, -4.5) circle [radius=0.1]; |
| 183 | + |
| 184 | + \draw[fill=black] (3+0.3+1+0.5, 0.5) circle [radius=0.1]; |
| 185 | + \draw (3+0.3+1+0.5, -8) [thick] circle (0.13); |
| 186 | + \draw [-] [thick] (3+0.3+1+0.5, 0.5) to (3+0.3+1+0.5, -8.5); |
| 187 | + \draw [-] [thick] (3+0.3+1+0.5, -4.5) to (3+0.3+1+0.5, -4); |
| 188 | + \draw[fill=black] (3+0.3+1+0.5, -8.5) circle [radius=0.1]; |
| 189 | + |
| 190 | + \draw[fill=black] (5.5, -4) circle [radius=0.1]; |
| 191 | + \draw (5.5, -4.5) [thick] circle (0.13); |
| 192 | + \draw [-] [thick] (5.5, -4) to (5.5, -4.5); |
| 193 | + \draw [-] [thick] (5.5, -4.5+0.1) to (5.5, -4.5-0.1); |
| 194 | + |
| 195 | + \draw[fill=black] (5.5, -8) circle [radius=0.1]; |
| 196 | + \draw (5.5, -8.5) [thick] circle (0.13); |
| 197 | + \draw [-] [thick] (5.5, -8) to (5.5, -8.5); |
| 198 | + \draw [-] [thick] (5.5, -8.5+0.1) to (5.5, -8.5-0.1); |
| 199 | + |
| 200 | + |
| 201 | + % last controlled on index register |
| 202 | + \draw[fill=black] (7, 1) circle [radius=0.1]; |
| 203 | + \draw[fill=black] (7, -2.5) circle [radius=0.1]; |
| 204 | + \draw (7, -2) [thick] circle (0.13); |
| 205 | + \draw [-] [thick] (7, -2.5) to (7, 1); |
| 206 | + |
| 207 | + |
| 208 | + |
| 209 | + \draw[fill=black] (7.5, 1) circle [radius=0.1]; |
| 210 | + \draw[fill=black] (7.5, -5.5) circle [radius=0.1]; |
| 211 | + \draw (7.5, -5) [thick] circle (0.13); |
| 212 | + \draw [-] [thick] (7.5, -5.5) to (7.5, 1); |
| 213 | + |
| 214 | + |
| 215 | + \draw[fill=black] (8, 1) circle [radius=0.1]; |
| 216 | + \draw[fill=black] (8, -7.5) circle [radius=0.1]; |
| 217 | + \draw (8, -7) [thick] circle (0.13); |
| 218 | + \draw [-] [thick] (8, -7.5) to (8, 1); |
| 219 | + |
| 220 | + |
| 221 | + \draw[fill=black] (8.5, 1) circle [radius=0.1]; |
| 222 | + \draw[fill=black] (8.5, -10.5) circle [radius=0.1]; |
| 223 | + \draw (8.5, -10) [thick] circle (0.13); |
| 224 | + \draw [-] [thick] (8.5, -10.5) to (8.5, 1); |
| 225 | + |
| 226 | + |
| 227 | + % last layer of cnots |
| 228 | + % \draw[fill=black] (8.5, -2) circle [radius=0.1]; |
| 229 | + \draw[fill=black] (9, -2) circle [radius=0.1]; |
| 230 | + \draw (9, -2.5) [thick] circle (0.13); |
| 231 | + \draw [-] [thick] (9, -2.5-0.1) to (9, -2); |
| 232 | + |
| 233 | + \draw[fill=black] (9, -5) circle [radius=0.1]; |
| 234 | + \draw (9, -5.5) [thick] circle (0.13); |
| 235 | + \draw [-] [thick] (9, -5.5-0.1) to (9, -5); |
| 236 | + |
| 237 | + |
| 238 | + \draw[fill=black] (9, -7) circle [radius=0.1]; |
| 239 | + \draw (9, -7.5) [thick] circle (0.13); |
| 240 | + \draw [-] [thick] (9, -7.5-0.1) to (9, -7); |
| 241 | + |
| 242 | + \draw[fill=black] (9, -10) circle [radius=0.1]; |
| 243 | + \draw (9, -10.5) [thick] circle (0.13); |
| 244 | + \draw [-] [thick] (9, -10.5-0.1) to (9, -10); |
| 245 | + |
| 246 | + % writing in memory |
| 247 | + \draw[fill=black] (9.5, -10.5) circle [radius=0.1]; |
| 248 | + \draw[fill=black] (9.5, -15.5-0.05) [thick] circle (0.1); |
| 249 | + \draw (9.5, -16.5) [thick] circle (0.13); |
| 250 | + \draw [-] [thick] (9.5, -10.5) to (9.5, -16.5-0.1); |
| 251 | + |
| 252 | + \draw[fill=black] (10, -10) circle [radius=0.1]; |
| 253 | + \draw[fill=black] (10, -15-0.05) [thick] circle (0.1); |
| 254 | + \draw (10, -16.5) [thick] circle (0.13); |
| 255 | + \draw [-] [thick] (10, -10) to (10, -16.5-0.1); |
| 256 | + |
| 257 | + \draw[fill=black] (10.5, -7.5) circle [radius=0.1]; |
| 258 | + \draw[fill=black] (10.5, -14.5-0.05) [thick] circle (0.1); |
| 259 | + \draw (10.5, -16.5) [thick] circle (0.13); |
| 260 | + \draw [-] [thick] (10.5, -7.5) to (10.5, -16.5-0.1); |
| 261 | + |
| 262 | + \draw[fill=black] (11, -7) circle [radius=0.1]; |
| 263 | + \draw[fill=black] (11, -14-0.05) [thick] circle (0.1); |
| 264 | + \draw (11, -16.5) [thick] circle (0.13); |
| 265 | + \draw [-] [thick] (11, -7) to (11, -16.5-0.1); |
| 266 | + |
| 267 | + |
| 268 | + \draw[fill=black] (11.5, -5.5) circle [radius=0.1]; |
| 269 | + \draw[fill=black] (11.5, -13.5-0.05) [thick] circle (0.1); |
| 270 | + \draw (11.5, -16.5) [thick] circle (0.13); |
| 271 | + \draw [-] [thick] (11.5, -5.5) to (11.5, -16.5-0.1); |
| 272 | + |
| 273 | + \draw[fill=black] (12, -5) circle [radius=0.1]; |
| 274 | + \draw[fill=black] (12, -13-0.05) [thick] circle (0.1); |
| 275 | + \draw (12, -16.5) [thick] circle (0.13); |
| 276 | + \draw [-] [thick] (12, -5) to (12, -16.5-0.1); |
| 277 | + |
| 278 | + |
| 279 | + \draw[fill=black] (12.5, -2.5) circle [radius=0.1]; |
| 280 | + \draw[fill=black] (12.5, -12.5-0.05) [thick] circle (0.1); |
| 281 | + \draw (12.5, -16.5) [thick] circle (0.13); |
| 282 | + \draw [-] [thick] (12.5, -2.5) to (12.5, -16.5-0.1); |
| 283 | + |
| 284 | + \draw[fill=black] (13, -2) circle [radius=0.1]; |
| 285 | + \draw[fill=black] (13, -12-0.05) [thick] circle (0.1); |
| 286 | + \draw (13, -16.5) [thick] circle (0.13); |
| 287 | + \draw [-] [thick] (13, -2) to (13, -16.5-0.1); |
| 288 | + |
| 289 | + |
| 290 | +\end{tikzpicture} |
| 291 | + |
| 292 | + |
| 293 | + |
| 294 | + |
| 295 | + |
| 296 | +\end{document} |
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