Weaving and neural complexity in symmetric quantum states
Abstract
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.
 Authors:

 Univ. de Cordoba, Monteria (Colombia)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Research Org.:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE Laboratory Directed Research and Development (LDRD) Program
 OSTI Identifier:
 1417826
 Alternate Identifier(s):
 OSTI ID: 1548874
 Report Number(s):
 LAUR1729411
Journal ID: ISSN 00304018
 Grant/Contract Number:
 AC5206NA25396; 20170675PRD2
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Optics Communications
 Additional Journal Information:
 Journal Volume: 413; Journal Issue: C; Journal ID: ISSN 00304018
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Mathematics; Quantum Correlations, Quantum ManyBody Systems, Complexity
Citation Formats
Susa, Cristian E., and Girolami, Davide. Weaving and neural complexity in symmetric quantum states. United States: N. p., 2017.
Web. doi:10.1016/j.optcom.2017.12.050.
Susa, Cristian E., & Girolami, Davide. Weaving and neural complexity in symmetric quantum states. United States. doi:10.1016/j.optcom.2017.12.050.
Susa, Cristian E., and Girolami, Davide. Wed .
"Weaving and neural complexity in symmetric quantum states". United States. doi:10.1016/j.optcom.2017.12.050. https://www.osti.gov/servlets/purl/1417826.
@article{osti_1417826,
title = {Weaving and neural complexity in symmetric quantum states},
author = {Susa, Cristian E. and Girolami, Davide},
abstractNote = {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.},
doi = {10.1016/j.optcom.2017.12.050},
journal = {Optics Communications},
number = C,
volume = 413,
place = {United States},
year = {2017},
month = {12}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Figures / Tables:
Figure 1: Correlations of order higher than k, S ^{k→N} , and components C^{(k)} of the neural complexity, for N = 5, 7, 10 and 50 qubits. The grey scale goes from black to white as k increases. A zoom of both quantities for the N = 50 case ismore »
All figures and tables
(2 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Figures/Tables have been extracted from DOEfunded journal article accepted manuscripts.