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Experimental kernel-based quantum machine learning in finite feature space

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73602079" target="_blank" >RIV/61989592:15310/20:73602079 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.nature.com/articles/s41598-020-68911-5.pdf" target="_blank" >https://www.nature.com/articles/s41598-020-68911-5.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1038/s41598-020-68911-5" target="_blank" >10.1038/s41598-020-68911-5</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Experimental kernel-based quantum machine learning in finite feature space

  • Original language description

    We implement an all-optical setup demonstrating kernel-based quantum machine learning for two-dimensional classification problems. In this hybrid approach, kernel evaluations are outsourced to projective measurements on suitably designed quantum states encoding the training data, while the model training is processed on a classical computer. Our two-photon proposal encodes data points in a discrete, eight-dimensional feature Hilbert space. In order to maximize the application range of the deployable kernels, we optimize feature maps towards the resulting kernels&apos; ability to separate points, i.e., their &quot;resolution,&quot; under the constraint of finite, fixed Hilbert space dimension. Implementing these kernels, our setup delivers viable decision boundaries for standard nonlinear supervised classification tasks in feature space. We demonstrate such kernel-based quantum machine learning using specialized multiphoton quantum optical circuits. The deployed kernel exhibits exponentially better scaling in the required number of qubits than a direct generalization of kernels described in the literature.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10306 - Optics (including laser optics and quantum optics)

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Scientific Reports

  • ISSN

    2045-2322

  • e-ISSN

  • Volume of the periodical

    10

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    9

  • Pages from-to

    "12356-1"-"12356-9"

  • UT code for WoS article

    000556690900063

  • EID of the result in the Scopus database

    2-s2.0-85088502642