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Experimental measurement of the Hilbert-Schmidt distance between two-qubit states as a means for reducing the complexity of machine learning

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F19%3A00520175" target="_blank" >RIV/68378271:_____/19:00520175 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989592:15310/19:73597417

  • Result on the web

    <a href="https://doi.org/10.1103/physrevlett.123.260501" target="_blank" >https://doi.org/10.1103/physrevlett.123.260501</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevLett.123.260501" target="_blank" >10.1103/PhysRevLett.123.260501</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Experimental measurement of the Hilbert-Schmidt distance between two-qubit states as a means for reducing the complexity of machine learning

  • Original language description

    We report on the experimental measurement of the Hilbert-Schmidt distance between two two-qubit states by many-particle interference. We demonstrate that our three-step method for measuring distances in the Hilbert space is far less complex than reconstructing density matrices and that it can be applied in quantum-enhanced machine learning to reduce the complexity of calculating Euclidean distances between multidimensional points, which can be especially interesting for near term quantum technologies and quantum artificial intelligence research. Our results are also a novel example of applying mixed states in quantum information processing. Usually working with mixed states is undesired, but here it gives the possibility of encoding extra information as the degree of coherence between the given two dimensions of the density matrix.n

  • 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

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Physical Review Letters

  • ISSN

    0031-9007

  • e-ISSN

  • Volume of the periodical

    123

  • Issue of the periodical within the volume

    26

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    6

  • Pages from-to

    1-6

  • UT code for WoS article

    000504647000002

  • EID of the result in the Scopus database

    2-s2.0-85077334785