Resolving degeneracies in Google search via quantum stochastic walks
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929210538328064 |
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| author | Benjamin, Colin Dudhe, Naini |
| author_facet | Benjamin, Colin Dudhe, Naini |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_11429 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Resolving degeneracies in Google search via quantum stochastic walks Benjamin, Colin Dudhe, Naini Quantum Physics Disordered Systems and Neural Networks Social and Information Networks Systems and Control Computational Physics 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. |
| title | Resolving degeneracies in Google search via quantum stochastic walks |
| topic | Quantum Physics Disordered Systems and Neural Networks Social and Information Networks Systems and Control Computational Physics |
| url | https://arxiv.org/abs/2207.11429 |