Resolving degeneracies in Google search via quantum stochastic walks
Journal of Statistical Mechanics: Theory and Experiment (2024) 013402 The Internet is one of the most valuable technologies invented to date. Among them, Google is the most widely used search engine. The PageRank algorithm is the backbone of Google search, ranking web pages according to relevance an...
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creator | Benjamin, Colin Dudhe, Naini |
description | Journal of Statistical Mechanics: Theory and Experiment (2024)
013402 The Internet is one of the most valuable technologies invented to date. Among
them, Google is the most widely used search engine. The PageRank algorithm is
the backbone of Google search, ranking web pages according to relevance and
recency. We employ quantum stochastic walks (QSWs) to improve the classical
PageRank (CPR) algorithm based on classical continuous time random walks. We
implement QSW via two schemes: only incoherence and dephasing with incoherence.
PageRank using QSW with only incoherence or QSW with dephasing and incoherence
best resolves degeneracies that are unresolvable via CPR and with a convergence
time comparable to that for CPR, which is generally the minimum. For some
networks, the two QSW schemes obtain a convergence time lower than CPR and an
almost degeneracy-free ranking compared to CPR. |
doi_str_mv | 10.48550/arxiv.2207.11429 |
format | Article |
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013402 The Internet is one of the most valuable technologies invented to date. Among
them, Google is the most widely used search engine. The PageRank algorithm is
the backbone of Google search, ranking web pages according to relevance and
recency. We employ quantum stochastic walks (QSWs) to improve the classical
PageRank (CPR) algorithm based on classical continuous time random walks. We
implement QSW via two schemes: only incoherence and dephasing with incoherence.
PageRank using QSW with only incoherence or QSW with dephasing and incoherence
best resolves degeneracies that are unresolvable via CPR and with a convergence
time comparable to that for CPR, which is generally the minimum. For some
networks, the two QSW schemes obtain a convergence time lower than CPR and an
almost degeneracy-free ranking compared to CPR.</description><identifier>DOI: 10.48550/arxiv.2207.11429</identifier><language>eng</language><subject>Computer Science - Social and Information Networks ; Computer Science - Systems and Control ; Physics - Computational Physics ; Physics - Disordered Systems and Neural Networks ; Physics - Quantum Physics</subject><creationdate>2022-07</creationdate><rights>http://creativecommons.org/licenses/by-nc-nd/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2207.11429$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1088/1742-5468/ad1384$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2207.11429$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Benjamin, Colin</creatorcontrib><creatorcontrib>Dudhe, Naini</creatorcontrib><title>Resolving degeneracies in Google search via quantum stochastic walks</title><description>Journal of Statistical Mechanics: Theory and Experiment (2024)
013402 The Internet is one of the most valuable technologies invented to date. Among
them, Google is the most widely used search engine. The PageRank algorithm is
the backbone of Google search, ranking web pages according to relevance and
recency. We employ quantum stochastic walks (QSWs) to improve the classical
PageRank (CPR) algorithm based on classical continuous time random walks. We
implement QSW via two schemes: only incoherence and dephasing with incoherence.
PageRank using QSW with only incoherence or QSW with dephasing and incoherence
best resolves degeneracies that are unresolvable via CPR and with a convergence
time comparable to that for CPR, which is generally the minimum. For some
networks, the two QSW schemes obtain a convergence time lower than CPR and an
almost degeneracy-free ranking compared to CPR.</description><subject>Computer Science - Social and Information Networks</subject><subject>Computer Science - Systems and Control</subject><subject>Physics - Computational Physics</subject><subject>Physics - Disordered Systems and Neural Networks</subject><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz7FOwzAUhWEvDKjwAEz4BRJix9eOR1SgIFVCQt2jG_s6tUgTsNMAbw8UdIZ_O9LH2JWoStUAVDeYPuNSSlmZUggl7Tm7e6E8DUsce-6pp5ESukiZx5FvpqkfiGfC5PZ8icjfjzjOxwPP8-T2mOfo-AcOr_mCnQUcMl3-d8V2D_e79WOxfd48rW-3BWpjCxS6AxmMAq_dz5SBDkgAgZYKG-mD8R2E2lYCpLaCwDthm7pD7wNKW6_Y9d_tidG-pXjA9NX-ctoTp_4GoNJFuQ</recordid><startdate>20220723</startdate><enddate>20220723</enddate><creator>Benjamin, Colin</creator><creator>Dudhe, Naini</creator><scope>AKY</scope><scope>GOX</scope></search><sort><creationdate>20220723</creationdate><title>Resolving degeneracies in Google search via quantum stochastic walks</title><author>Benjamin, Colin ; Dudhe, Naini</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a679-a16b52f745d6c6c6475b5e15e5624a82df7db5f390152691e5dc1983baddfa293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Computer Science - Social and Information Networks</topic><topic>Computer Science - Systems and Control</topic><topic>Physics - Computational Physics</topic><topic>Physics - Disordered Systems and Neural Networks</topic><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Benjamin, Colin</creatorcontrib><creatorcontrib>Dudhe, Naini</creatorcontrib><collection>arXiv Computer Science</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Benjamin, Colin</au><au>Dudhe, Naini</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Resolving degeneracies in Google search via quantum stochastic walks</atitle><date>2022-07-23</date><risdate>2022</risdate><abstract>Journal of Statistical Mechanics: Theory and Experiment (2024)
013402 The Internet is one of the most valuable technologies invented to date. Among
them, Google is the most widely used search engine. The PageRank algorithm is
the backbone of Google search, ranking web pages according to relevance and
recency. We employ quantum stochastic walks (QSWs) to improve the classical
PageRank (CPR) algorithm based on classical continuous time random walks. We
implement QSW via two schemes: only incoherence and dephasing with incoherence.
PageRank using QSW with only incoherence or QSW with dephasing and incoherence
best resolves degeneracies that are unresolvable via CPR and with a convergence
time comparable to that for CPR, which is generally the minimum. For some
networks, the two QSW schemes obtain a convergence time lower than CPR and an
almost degeneracy-free ranking compared to CPR.</abstract><doi>10.48550/arxiv.2207.11429</doi><oa>free_for_read</oa></addata></record> |
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subjects | Computer Science - Social and Information Networks Computer Science - Systems and Control Physics - Computational Physics Physics - Disordered Systems and Neural Networks Physics - Quantum Physics |
title | Resolving degeneracies in Google search via quantum stochastic walks |
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