Weaving and neural complexity in symmetric quantum states

Susa, Cristian E.; Girolami, Davide

doi:10.1016/j.optcom.2017.12.050

Title: Weaving and neural complexity in symmetric quantum states

Journal Article · Wed Dec 27 00:00:00 EST 2017 · Optics Communications

DOI:https://doi.org/10.1016/j.optcom.2017.12.050· OSTI ID:1417826

Susa, Cristian E. ^[1];

^[2]

Univ. de Cordoba, Monteria (Colombia)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here, we study the behaviour of two different measures of the complexity of multipartite correlation patterns, weaving and neural complexity, for symmetric quantum states. Weaving is the weighted sum of genuine multipartite correlations of any order, where the weights are proportional to the correlation order. The neural complexity, originally introduced to characterize correlation patterns in classical neural networks, is here extended to the quantum scenario. We derive closed formulas of the two quantities for GHZ states mixed with white noise.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396; 20170675PRD2

OSTI ID:: 1417826

Alternate ID(s):: OSTI ID: 1548874

Report Number(s):: LA-UR-17-29411

Journal Information:: Optics Communications, Vol. 413, Issue C; ISSN 0030-4018

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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Title: Weaving and neural complexity in symmetric quantum states

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