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Quantum Information Protocols for Cryptography
Abd-El-Atty2018.rar
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<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/6250ac5674bc5c01056fee4c/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/6250ac5674bc5c01056fee4c/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">Quantum<span class="_ _0"> </span>Information<span class="_ _0"> </span>Pr<span class="_ _1"></span>otocols</div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls1 ws0">for<span class="_ _0"> </span>Cryptograph<span class="_ _2"></span>y</div><div class="t m0 x1 h3 y3 ff1 fs1 fc0 sc0 ls2 ws0">Bassem<span class="_ _3"> </span>Abd-El-<span class="_ _1"></span>A<span class="_ _1"></span>tty,<span class="_ _3"> </span>Salv<span class="_ _1"></span>ador<span class="_ _3"> </span>E.<span class="_ _3"> </span>V<span class="_ _2"></span>enegas-<span class="_ _1"></span>Andraca</div><div class="t m0 x1 h3 y4 ff1 fs1 fc0 sc0 ls3 ws0">and<span class="_ _3"> </span>Ahmed<span class="_ _3"> </span>A.<span class="_ _3"> </span>Abd<span class="_ _3"> </span>El-Latif</div><div class="t m0 x1 h4 y5 ff1 fs1 fc0 sc0 ls4 ws0">Abstract<span class="_ _4"> </span><span class="ff2 ls5">Quantum<span class="_ _0"> </span>cr<span class="_ _5"></span>yptography<span class="_ _0"> </span>is<span class="_ _6"> </span>a<span class="_ _0"> </span>robust<span class="_ _6"> </span>&#64257;eld<span class="_ _0"> </span>of<span class="_ _6"> </span>quantum<span class="_ _0"> </span>comput<span class="_ _5"></span>ation<span class="_ _0"> </span>and</span></div><div class="t m0 x1 h4 y6 ff2 fs1 fc0 sc0 ls5 ws0">quantum<span class="_ _7"> </span>inf<span class="_ _1"></span>ormation<span class="_ _0"> </span>that<span class="_ _7"> </span>focuses<span class="_ _7"> </span>on<span class="_ _7"> </span>protecting<span class="_ _7"> </span>data<span class="_ _0"> </span>secrecy<span class="_ _7"> </span>by<span class="_ _7"> </span>using<span class="_ _7"> </span>proper<span class="_ _5"></span>ties</div><div class="t m0 x1 h4 y7 ff2 fs1 fc0 sc0 ls5 ws0">of<span class="_ _8"> </span>quantum-mec<span class="_ _1"></span>hanical<span class="_ _8"> </span>systems.<span class="_ _8"> </span>Ov<span class="_ _1"></span>er<span class="_ _8"> </span>the<span class="_ _8"> </span>last<span class="_ _8"> </span>f<span class="_ _2"></span>ew<span class="_ _8"> </span>years,<span class="_ _8"> </span>q<span class="_ _1"></span>uantum<span class="_ _8"> </span>cryptog<span class="_ _5"></span>raph<span class="_ _1"></span>y<span class="_ _8"> </span>has</div><div class="t m0 x1 h4 y8 ff2 fs1 fc0 sc0 ls5 ws0">ev<span class="_ _2"></span>olv<span class="_ _1"></span>ed<span class="_ _8"> </span>into<span class="_ _9"> </span>an<span class="_ _9"> </span>emergent<span class="_ _9"> </span>high-tech<span class="_ _9"> </span>market<span class="_ _9"> </span>wit<span class="_ _5"></span>h<span class="_ _9"> </span>companies<span class="_ _8"> </span>capable<span class="_ _9"> </span>of<span class="_ _9"> </span>delivering<span class="_ _8"> </span>o&#64256;-</div><div class="t m0 x1 h4 y9 ff2 fs1 fc0 sc0 ls3 ws0">the-shelf<span class="_ _8"> </span>pr<span class="_ _1"></span>oducts.<span class="_ _8"> </span>This<span class="_ _9"> </span>chapter<span class="_ _9"> </span>introduces<span class="_ _9"> </span>a<span class="_ _8"> </span>succinct<span class="_ _9"> </span>ov<span class="_ _1"></span>erview<span class="_ _9"> </span>of<span class="_ _8"> </span>some<span class="_ _9"> </span>fundamental</div><div class="t m0 x1 h4 ya ff2 fs1 fc0 sc0 ls2 ws0">concepts<span class="_"> </span>of<span class="_ _a"> </span>quantum<span class="_"> </span>computation,<span class="_ _a"> </span>quantum<span class="_"> </span>information<span class="_"> </span>protocols<span class="_ _a"> </span>and<span class="_"> </span>their<span class="_ _a"> </span>use<span class="_"> </span>on</div><div class="t m0 x1 h4 yb ff2 fs1 fc0 sc0 ls2 ws0">the<span class="_ _8"> </span>de<span class="_ _1"></span>v<span class="_ _1"></span>elopment<span class="_ _8"> </span>of<span class="_ _9"> </span>quantum<span class="_ _8"> </span>cryptography<span class="_ _9"> </span>protocols.<span class="_ _8"> </span>K<span class="_ _1"></span>ey<span class="_ _9"> </span>concepts<span class="_ _8"> </span>include<span class="_ _9"> </span>quantum</div><div class="t m0 x1 h4 yc ff2 fs1 fc0 sc0 ls2 ws0">ke<span class="_ _1"></span>y<span class="_ _b"> </span>distribution,<span class="_ _b"> </span>quantum<span class="_ _b"> </span>secret<span class="_ _9"> </span>shar<span class="_ _5"></span>ing,<span class="_ _b"> </span>quantum<span class="_ _9"> </span>secure<span class="_ _b"> </span>direct<span class="_ _b"> </span>communication,<span class="_ _8"> </span>and</div><div class="t m0 x1 h4 yd ff2 fs1 fc0 sc0 ls3 ws0">deterministic<span class="_"> </span>secure<span class="_"> </span>quantum<span class="_"> </span>communication.</div><div class="t m0 x1 h3 ye ff1 fs1 fc0 sc0 ls6 ws0">1<span class="_ _c"> </span>Introduction<span class="_ _8"> </span>to<span class="_ _3"> </span>Quantum<span class="_ _3"> </span>Cr<span class="_ _5"></span>yp<span class="_ _1"></span>tography</div><div class="t m0 x1 h4 yf ff2 fs1 fc0 sc0 ls5 ws0">No<span class="_ _1"></span>w<span class="_ _1"></span>ada<span class="_ _1"></span>ys,<span class="_ _9"> </span>computers<span class="_ _9"> </span>are<span class="_ _b"> </span>ke<span class="_ _1"></span>y<span class="_ _9"> </span>resources<span class="_ _b"> </span>in<span class="_ _9"> </span>all<span class="_ _9"> </span>branches<span class="_ _9"> </span>of<span class="_ _b"> </span>science,<span class="_ _9"> </span>engineer<span class="_ _5"></span>ing,<span class="_ _9"> </span>com-</div><div class="t m0 x1 h4 y10 ff2 fs1 fc0 sc0 ls5 ws0">merce,<span class="_ _b"> </span>and<span class="_"> </span>business<span class="_ _b"> </span>in<span class="_"> </span>g<span class="_ _1"></span>eneral.<span class="_ _8"> </span>Indeed,<span class="_ _8"> </span>computer<span class="_ _8"> </span>science<span class="_ _8"> </span>and<span class="_ _8"> </span>computer<span class="_ _8"> </span>engineering</div><div class="t m0 x1 h4 y11 ff2 fs1 fc0 sc0 ls5 ws0">ha<span class="_ _1"></span>v<span class="_ _1"></span>e<span class="_ _d"> </span>pervaded<span class="_ _d"> </span>ev<span class="_ _2"></span>er<span class="_ _5"></span>y<span class="_ _a"> </span>aspect<span class="_ _d"> </span>of<span class="_ _d"> </span>moder<span class="_ _5"></span>n<span class="_ _a"> </span>society<span class="_ _2"></span>.<span class="_ _d"> </span>The<span class="_ _a"> </span>complex<span class="_ _d"> </span>relationship<span class="_ _a"> </span>between</div><div class="t m0 x1 h4 y12 ff2 fs1 fc0 sc0 ls5 ws0">computer<span class="_"> </span>science<span class="_"> </span>and<span class="_"> </span>computer<span class="_"> </span>engineer<span class="_ _5"></span>ing<span class="_"> </span>includes<span class="_"> </span>the<span class="_"> </span>f<span class="_ _1"></span>ollowing<span class="_"> </span>aspects:</div><div class="t m0 x1 h5 y13 ff3 fs1 fc0 sc0 ls7 ws0">&#8729;<span class="_ _4"> </span><span class="ff2 ls5">Computer<span class="_ _d"> </span>science<span class="_ _a"> </span>pro<span class="_ _1"></span>vides<span class="_ _a"> </span>the<span class="_ _a"> </span>fundament<span class="_ _5"></span>al<span class="_ _a"> </span>mathematical<span class="_ _a"> </span>structures<span class="_ _a"> </span>required<span class="_ _a"> </span>to</span></div><div class="t m0 x2 h4 y14 ff2 fs1 fc0 sc0 ls5 ws0">build<span class="_ _a"> </span>both<span class="_"> </span>speci&#64257;c-<span class="_ _a"> </span>and<span class="_ _a"> </span>g<span class="_ _1"></span>eneral-pur<span class="_ _5"></span>pose<span class="_"> </span>computers<span class="_ _a"> </span>(automata<span class="_ _a"> </span>theory)<span class="_ _a"> </span>as<span class="_ _a"> </span>well<span class="_"> </span>as</div><div class="t m0 x2 h4 y15 ff2 fs1 fc0 sc0 ls6 ws0">to<span class="_ _d"> </span>quantify<span class="_ _7"> </span>the<span class="_ _7"> </span>amount<span class="_ _d"> </span>of<span class="_ _7"> </span>resources<span class="_ _7"> </span>needed<span class="_ _d"> </span>to<span class="_ _7"> </span>ex<span class="_ _1"></span>ecute<span class="_ _d"> </span>an<span class="_ _7"> </span>algor<span class="_ _5"></span>ithm<span class="_ _d"> </span>(complex-</div><div class="t m0 x2 h4 y16 ff2 fs1 fc0 sc0 ls2 ws0">ity<span class="_ _d"> </span>theor<span class="_ _5"></span>y).<span class="_ _d"> </span>Computer<span class="_ _d"> </span>science<span class="_ _7"> </span>serves<span class="_ _d"> </span>as<span class="_ _d"> </span>a<span class="_ _d"> </span>guide<span class="_ _7"> </span>to<span class="_ _d"> </span>understand<span class="_ _d"> </span>and<span class="_ _d"> </span>estimate<span class="_ _7"> </span>the</div><div class="t m0 x2 h4 y17 ff2 fs1 fc0 sc0 ls2 ws0">capacities<span class="_"> </span>and<span class="_"> </span>limits<span class="_"> </span>of<span class="_"> </span>practical<span class="_"> </span>computers<span class="_"> </span>and<span class="_"> </span>algor<span class="_ _5"></span>ithm<span class="_"> </span>design.</div><div class="t m0 x1 h6 y18 ff2 fs2 fc0 sc0 ls8 ws0">B.<span class="_"> </span>Abd-El-<span class="_ _1"></span>Atty<span class="_"> </span><span class="ff4 ls7">&#8901;<span class="_ _b"> </span></span><span class="ls9">A.A.<span class="_"> </span>Abd<span class="_"> </span>E<span class="_ _5"></span>l-Latif<span class="_ _9"> </span>(</span></div><div class="t m0 x3 h7 y19 ff5 fs3 fc0 sc0 ls7 ws0">&#9993;</div><div class="t m0 x4 h6 y18 ff2 fs2 fc0 sc0 ls7 ws0">)</div><div class="t m0 x1 h6 y1a ff2 fs2 fc0 sc0 ls7 ws0">Faculty<span class="_"> </span>of<span class="_"> </span>Science,<span class="_"> </span>Department<span class="_"> </span>of<span class="_"> </span>Mathematics,<span class="_"> </span>Menou&#64257;a<span class="_"> </span>University,</div><div class="t m0 x1 h6 y1b ff2 fs2 fc0 sc0 lsa ws0">Meno&#64257;a<span class="_"> </span>Gov<span class="_ _1"></span>ernorate<span class="_"> </span>32511,<span class="_"> </span>Egypt</div><div class="t m0 x1 h6 y1c ff2 fs2 fc0 sc0 lsb ws0">e-mail:<span class="_"> </span>a.rahiem@gmail.com;<span class="_"> </span>ahmed_rahiem@yahoo.com</div><div class="t m0 x1 h6 y1d ff2 fs2 fc0 sc0 lsc ws0">S.E.<span class="_"> </span>V<span class="_ _2"></span>enegas-<span class="_ _1"></span>Andraca</div><div class="t m0 x1 h6 y1e ff2 fs2 fc0 sc0 lsc ws0">Escuela<span class="_"> </span>de<span class="_"> </span>Ingenieria<span class="_"> </span>y<span class="_"> </span>Ciencias,<span class="_"> </span>T<span class="_ _1"></span>ecnologico<span class="_"> </span>de<span class="_"> </span>Monterrey,</div><div class="t m0 x1 h6 y1f ff2 fs2 fc0 sc0 lsc ws0">A<span class="_ _2"></span>ve.<span class="_"> </span>Eugenio<span class="_"> </span>Garza<span class="_"> </span>Sada<span class="_"> </span>2501,<span class="_"> </span>64849<span class="_"> </span>Monterrey,<span class="_"> </span>N.L.,<span class="_"> </span>M&#233;<span class="_ _1"></span>xico,<span class="_"> </span>Mexico</div><div class="t m0 x1 h6 y20 ff2 fs2 fc0 sc0 lsb ws0">e-mail:<span class="_"> </span>salv<span class="_ _1"></span>ador<span class="_ _2"></span>.venegas-andraca@keble.o<span class="_ _2"></span>xon.org</div><div class="t m0 x1 h6 y21 ff2 fs2 fc0 sc0 lsb ws0">&#169;<span class="_"> </span>Springer<span class="_"> </span>International<span class="_"> </span>Publishing<span class="_"> </span>AG<span class="_"> </span>2018</div><div class="t m0 x1 h6 y22 ff2 fs2 fc0 sc0 ls7 ws0">A.E.<span class="_"> </span>Hassanien<span class="_"> </span>et<span class="_"> </span>al.<span class="_"> </span>(eds.),<span class="_"> </span><span class="ff6 lsb">Quantum<span class="_ _b"> </span>Computing:<span class="_ _8"> </span>An<span class="_ _b"> </span>Environment<span class="_ _b"> </span>for<span class="_ _b"> </span>Intelligent</span></div><div class="t m0 x1 h6 y23 ff6 fs2 fc0 sc0 ls7 ws0">Larg<span class="_ _2"></span>e<span class="_ _8"> </span>Scale<span class="_ _8"> </span>Real<span class="_ _b"> </span>Application<span class="ff2 ls8">,<span class="_"> </span>Studies<span class="_"> </span>in<span class="_"> </span>Big<span class="_"> </span>Data<span class="_"> </span>33,</span></div><div class="t m0 x1 h6 y24 ff2 fs2 fc0 sc0 lsd ws0">https://doi.org/10.1007/978-3-319-63639-9_1</div><div class="t m0 x5 h6 y21 ff2 fs2 fc0 sc0 ls7 ws0">3</div></div><div class="pi" data-data='{"ctm":[2.037103,0.000000,0.000000,2.037103,0.000000,0.000000]}'></div></div> </body> </html>
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