A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit <a rel="external noopener" href="https://arxiv.org/pdf/quant-ph/0411013v1.pdf">the original URL</a>. The file type is <code>application/pdf</code>.
Towards Efficiently Solving Quantum Traveling Salesman Problem
[article]
<span title="2004-11-02">2004</span>
<i >
arXiv
</i>
<span class="release-stage" >pre-print</span>
Preserved Fulltext
We present a framework for efficiently solving Approximate Traveling Salesman Problem (Approximate TSP) for Quantum Computing Models. Existing representations of TSP introduce extra states which do not correspond to any permutation. We present an efficient and intuitive encoding for TSP in quantum computing paradigm. Using this representation and assuming a Gaussian distribution on tour-lengths, we give an algorithm to solve Approximate TSP (Euclidean) within BQP resource bounds. Generalizing
<span class="external-identifiers">
<a target="_blank" rel="external noopener" href="https://arxiv.org/abs/quant-ph/0411013v1">arXiv:quant-ph/0411013v1</a>
<a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rlyk3xt7urbf5ga4wdkdd5gxpu">fatcat:rlyk3xt7urbf5ga4wdkdd5gxpu</a>
</span>
more »
... is strategy for any distribution, we present an oracle based Quantum Algorithm to solve Approximate TSP. We present a realization of the oracle in the quantum counterpart of PP.
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191012224556/https://arxiv.org/pdf/quant-ph/0411013v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext">
<button class="ui simple right pointing dropdown compact black labeled icon button serp-button">
<i class="icon ia-icon"></i>
Web Archive
[PDF]
<div class="menu fulltext-thumbnail">
<img src="https://blobs.fatcat.wiki/thumbnail/pdf/c0/6b/c06b7ad21f32b93ce7a4e968f8a1b82235644717.180px.jpg" alt="fulltext thumbnail" loading="lazy">
</div>
</button>
</a>
<a target="_blank" rel="external noopener" href="https://arxiv.org/abs/quant-ph/0411013v1" title="arxiv.org access">
<button class="ui compact blue labeled icon button serp-button">
<i class="file alternate outline icon"></i>
arxiv.org
</button>
</a>