English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Within the framework of the probability representation of quantum mechanics,we study a superposition of generic Gaussian states associated to symmetries ofa regular polygon of n sides; in other words, the cyclic groups (containing therotational symmetries) and dihedral groups (containing the rotational andinversion symmetries). We obtain the Wigner functions and tomographicprobability distributions (symplectic and optical tomograms) determining thedensity matrices of the states explicitly as the sums of Gaussian terms. Theobtained Wigner functions demonstrate nonclassical behavior, i.e., containnegative values, while the tomograms show a series of maxima and minimadifferent for each state, where the number of the critical points reflects theorder of the group defining the states. We discuss general properties of such ageneralization of normal probability distributions.

Symplectic tomographic probability distribution of crystallized Schr\"odinger cat states