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    Selective correlations in finite quantum systems and the Desargues property

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    Publication date
    2018-06
    End of Embargo
    2019-03-27
    Author
    Lei, Ci
    Vourdas, Apostolos
    Keyword
    Projective geometry and quantum mechanics; Desargues property; Selective correlations
    Rights
    © 2018 Elsevier. Reproduced in accordance with the publisher's selfarchiving policy. This manuscript version is made available under the CC-BY-NC-ND 4.0 license.
    Peer-Reviewed
    Yes
    
    Metadata
    Show full item record
    Abstract
    The Desargues property is well known in the context of projective geometry. An analogous property is presented in the context of both classical and Quantum Physics. In a classical context, the Desargues property implies that two logical circuits with the same input, show in their outputs selective correlations. In general their outputs are uncorrelated, but if the output of one has a particular value, then the output of the other has another particular value. In a quantum context, the Desargues property implies that two experiments each of which involves two successive projective measurements, have selective correlations. For a particular set of projectors, if in one experiment the second measurement does not change the output of the rst measurement, then the same is true in the other experiment.
    URI
    http://hdl.handle.net/10454/15242
    Version
    Accepted Manuscript
    Citation
    Lei C and Vourdas A (2018) Selective correlations in finite quantum systems and the Desargues property. Journal of Geometry and Physics. 128: 118-127.
    Link to publisher’s version
    https://doi.org/10.1016/j.geomphys.2018.02.013
    Type
    Article
    Notes
    The full-text of this article will be released for public view at the end of the publisher embargo on 27 Mar 2019.
    Collections
    Engineering and Informatics Publications

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