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Statistical Correlation Measures From Higher‐Order Moments in Quantum Oscillator Systems
Author(s) -
Salazar Saúl J. C.,
Laguna Humberto G.,
Sagar Robin P.
Publication year - 2021
Publication title -
advanced theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.068
H-Index - 17
ISSN - 2513-0390
DOI - 10.1002/adts.202000322
Subject(s) - correlation , statistical physics , order (exchange) , variable (mathematics) , mathematics , mutual information , quantum , total correlation , physics , quantum mechanics , statistics , mathematical analysis , finance , geometry , economics
Triple‐wise and higher‐order correlation measures are proposed using analogies from information theory. Two‐ and three‐variable statistical correlation measures, obtained from higher‐order moments, are examined in three‐particle continuous variable quantum oscillator systems. It is illustrated how the mutual information and cokurtosis measures exhibit similar behaviors, as the strength of the attractive or repulsive interparticle potential is varied.