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Selective correlations in finite quantum systems and the Desargues property
Lei, Ci
Lei, Ci
Publication Date
2018-06
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© 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.
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Yes
Open Access status
Accepted for publication
2018-02-16
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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.
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.
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Article