Document Zbl 1358.81094

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J. Theor. Phys.</a> <a href="/?q=in%3A360524" title="Articles in this Issue">55, No. 11, 4709-4722 (2016)</a>. </div> <div class="abstract">Summary: In this paper, we present two definitions of the orthogonality and orthogonal rate of an encryption operator, and we provide a verification process for the former. Then, four improved ternary quantum encryption schemes are constructed. Compared with Scheme 1 (see Section 2.3), these four schemes demonstrate significant improvements in term of calculation and execution efficiency. Especially, under the premise of the orthogonal rate $\varepsilon$ as secure parameter, Scheme 3 (see Section 4.1) shows the highest level of security among them. Through custom interpolation functions, the ternary secret key source, which is composed of the digits 0, 1 and 2, is constructed. Finally, we discuss the security of both the ternary encryption operator and the secret key source, and both of them show a high level of security and high performance in execution efficiency.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6697109">Cited in <strong>1</strong> Document</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A81P94" title="MSC2020">81P94</a> </td> <td class="space"> Quantum cryptography (quantum-theoretic aspects) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A94A60" title="MSC2020">94A60</a> </td> <td class="space"> Cryptography </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A81P10" title="MSC2020">81P10</a> </td> <td class="space"> Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aternary+quantum+encryption">ternary quantum encryption</a>; <a href="/?q=ut%3Aternary+quantum+logic">ternary quantum logic</a>; <a href="/?q=ut%3Aorthogonal+rate">orthogonal rate</a>; <a href="/?q=ut%3Aquantum+cryptography">quantum cryptography</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1358.81094" data-ciurl="/ci/06697109" data-biburl="/bibtex/06697109.bib" data-amsurl="/amsrefs/06697109.bib" data-xmlurl="/xml/06697109.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06697109.pdf" title="Zbl 1358.81094 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10773-016-3094-8" aria-label="DOI for “Optimal symmetric ternary quantum encryption schemes”" title="10.1007/s10773-016-3094-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Wiesner, S.: Conjugate coding. 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