Matches in SemOpenAlex for { <https://semopenalex.org/work/W2981502445> ?p ?o ?g. }
- W2981502445 abstract "Reducing the dimension of nonlinear data is crucial in data processing and visualization. The locally linear embedding algorithm (LLE) is specifically a representative nonlinear dimensionality reduction method with well maintaining the original manifold structure. In this paper, we present two implementations of the quantum locally linear embedding algorithm (QLLE) to perform the nonlinear dimensionality reduction on quantum devices. One implementation, the linear-algebra-based QLLE algorithm, utilizes quantum linear algebra subroutines to reduce the dimension of the given data. The other implementation, the variational quantum locally linear embedding algorithm (VQLLE) utilizes a variational hybrid quantum-classical procedure to acquire the low-dimensional data. The classical LLE algorithm requires polynomial time complexity of $N$, where $N$ is the global number of the original high-dimensional data. Compared with the classical LLE, the linear-algebra-based QLLE achieves quadratic speedup in the number and dimension of the given data. The VQLLE can be implemented on the near term quantum devices in two different designs. In addition, the numerical experiments are presented to demonstrate that the two implementations in our work can achieve the procedure of locally linear embedding." @default.
- W2981502445 created "2019-11-01" @default.
- W2981502445 creator A5024384338 @default.
- W2981502445 creator A5028289642 @default.
- W2981502445 creator A5082794781 @default.
- W2981502445 creator A5085222557 @default.
- W2981502445 date "2019-10-17" @default.
- W2981502445 modified "2023-09-23" @default.
- W2981502445 title "Quantum locally linear embedding for nonlinear dimensionality reduction" @default.
- W2981502445 cites W1492999010 @default.
- W2981502445 cites W1608473410 @default.
- W2981502445 cites W1631356911 @default.
- W2981502445 cites W1638815512 @default.
- W2981502445 cites W1981783889 @default.
- W2981502445 cites W1983312464 @default.
- W2981502445 cites W1988369744 @default.
- W2981502445 cites W2001619934 @default.
- W2981502445 cites W2053186076 @default.
- W2981502445 cites W2071128523 @default.
- W2981502445 cites W2084652510 @default.
- W2981502445 cites W2101234009 @default.
- W2981502445 cites W2103956991 @default.
- W2981502445 cites W2146502635 @default.
- W2981502445 cites W2161685427 @default.
- W2981502445 cites W2227200015 @default.
- W2981502445 cites W2318493377 @default.
- W2981502445 cites W2427881153 @default.
- W2981502445 cites W2489886790 @default.
- W2981502445 cites W2593569272 @default.
- W2981502445 cites W2752255339 @default.
- W2981502445 cites W2788637706 @default.
- W2981502445 cites W2798434869 @default.
- W2981502445 cites W2798945316 @default.
- W2981502445 cites W2798967590 @default.
- W2981502445 cites W2803208764 @default.
- W2981502445 cites W287609105 @default.
- W2981502445 cites W2888774813 @default.
- W2981502445 cites W2897217696 @default.
- W2981502445 cites W2906136444 @default.
- W2981502445 cites W2944946370 @default.
- W2981502445 cites W3023275964 @default.
- W2981502445 cites W3037687232 @default.
- W2981502445 cites W3098768946 @default.
- W2981502445 cites W3113189095 @default.
- W2981502445 cites W3209612530 @default.
- W2981502445 doi "https://doi.org/10.48550/arxiv.1910.07854" @default.
- W2981502445 hasPublicationYear "2019" @default.
- W2981502445 type Work @default.
- W2981502445 sameAs 2981502445 @default.
- W2981502445 citedByCount "0" @default.
- W2981502445 crossrefType "posted-content" @default.
- W2981502445 hasAuthorship W2981502445A5024384338 @default.
- W2981502445 hasAuthorship W2981502445A5028289642 @default.
- W2981502445 hasAuthorship W2981502445A5082794781 @default.
- W2981502445 hasAuthorship W2981502445A5085222557 @default.
- W2981502445 hasBestOaLocation W29815024451 @default.
- W2981502445 hasConcept C111030470 @default.
- W2981502445 hasConcept C11413529 @default.
- W2981502445 hasConcept C121332964 @default.
- W2981502445 hasConcept C137019171 @default.
- W2981502445 hasConcept C139352143 @default.
- W2981502445 hasConcept C151876577 @default.
- W2981502445 hasConcept C154945302 @default.
- W2981502445 hasConcept C173608175 @default.
- W2981502445 hasConcept C192122513 @default.
- W2981502445 hasConcept C202444582 @default.
- W2981502445 hasConcept C2524010 @default.
- W2981502445 hasConcept C33676613 @default.
- W2981502445 hasConcept C33923547 @default.
- W2981502445 hasConcept C41008148 @default.
- W2981502445 hasConcept C41608201 @default.
- W2981502445 hasConcept C51003876 @default.
- W2981502445 hasConcept C58053490 @default.
- W2981502445 hasConcept C62520636 @default.
- W2981502445 hasConcept C68339613 @default.
- W2981502445 hasConcept C70518039 @default.
- W2981502445 hasConcept C84114770 @default.
- W2981502445 hasConceptScore W2981502445C111030470 @default.
- W2981502445 hasConceptScore W2981502445C11413529 @default.
- W2981502445 hasConceptScore W2981502445C121332964 @default.
- W2981502445 hasConceptScore W2981502445C137019171 @default.
- W2981502445 hasConceptScore W2981502445C139352143 @default.
- W2981502445 hasConceptScore W2981502445C151876577 @default.
- W2981502445 hasConceptScore W2981502445C154945302 @default.
- W2981502445 hasConceptScore W2981502445C173608175 @default.
- W2981502445 hasConceptScore W2981502445C192122513 @default.
- W2981502445 hasConceptScore W2981502445C202444582 @default.
- W2981502445 hasConceptScore W2981502445C2524010 @default.
- W2981502445 hasConceptScore W2981502445C33676613 @default.
- W2981502445 hasConceptScore W2981502445C33923547 @default.
- W2981502445 hasConceptScore W2981502445C41008148 @default.
- W2981502445 hasConceptScore W2981502445C41608201 @default.
- W2981502445 hasConceptScore W2981502445C51003876 @default.
- W2981502445 hasConceptScore W2981502445C58053490 @default.
- W2981502445 hasConceptScore W2981502445C62520636 @default.
- W2981502445 hasConceptScore W2981502445C68339613 @default.
- W2981502445 hasConceptScore W2981502445C70518039 @default.
- W2981502445 hasConceptScore W2981502445C84114770 @default.
- W2981502445 hasLocation W29815024451 @default.
- W2981502445 hasOpenAccess W2981502445 @default.