Weaving and neural complexity in symmetric quantum states

被引:3
|
作者
Susa, Cristian E. [1 ]
Girolami, Davide [2 ]
机构
[1] Univ Cordoba, Fac Ciencias Basicas, Dept Fis & Elect, Carrera 6 76-103, Monteria, Colombia
[2] Los Alamos Natl Lab, Div Theoret, POB 1663, Los Alamos, NM 87545 USA
基金
英国工程与自然科学研究理事会;
关键词
Quantum correlations; Many-body systems; Complexity; ENTANGLEMENT;
D O I
10.1016/j.optcom.2017.12.050
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:157 / 161
页数:5
相关论文
共 50 条
  • [41] Characterization of Quantum States Based on Creation Complexity
    Hu, Zixuan
    Kais, Sabre
    ADVANCED QUANTUM TECHNOLOGIES, 2020, 3 (09)
  • [42] Complexity of thermal states in quantum spin chains
    Znidaric, Marko
    Prosen, Tomaz
    Pizorn, Iztok
    PHYSICAL REVIEW A, 2008, 78 (02):
  • [43] Invariant correlational entropy and complexity of quantum states
    Sokolov, VV
    Brown, BA
    Zelevinsky, V
    PHYSICAL REVIEW E, 1998, 58 (01) : 56 - 68
  • [44] Invariant correlational entropy and complexity of quantum states
    Sokolov, Valentin V.
    Brown, B. Alex
    Zelevinsky, Vladimir
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1998, 58 (01):
  • [45] Optimal Measurements for Symmetric Quantum States with Applications to Optical Quantum Communication
    Krovi, Hari
    Guha, Saikat
    Dutton, Zachary
    da Silva, Marcus P.
    2014 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2014, : 336 - 340
  • [46] Phases of matrix product states with symmetric quantum circuits and symmetric measurements with feedforward
    Gunn, David
    Styliaris, Georgios
    Kraft, Tristan
    Kraus, Barbara
    PHYSICAL REVIEW B, 2025, 111 (11)
  • [47] Equiprobable unambiguous discrimination of quantum states by symmetric orthogonalisation
    Horoshko, D. B.
    Eskandari, M. M.
    Kilin, S. Ya
    PHYSICS LETTERS A, 2019, 383 (15) : 1728 - 1732
  • [48] Quantum operation sharing with symmetric and asymmetric W states
    Qibin Ji
    Yimin Liu
    Xiaofeng Yin
    Xiansong Liu
    Zhanjun Zhang
    Quantum Information Processing, 2013, 12 : 2453 - 2464
  • [49] Separability criteria and entanglement witnesses for symmetric quantum states
    Toth, G.
    Guehne, O.
    APPLIED PHYSICS B-LASERS AND OPTICS, 2010, 98 (04): : 617 - 622
  • [50] Scalable neural quantum states architecture for quantum chemistry
    Zhao, Tianchen
    Stokes, James
    Veerapaneni, Shravan
    MACHINE LEARNING-SCIENCE AND TECHNOLOGY, 2023, 4 (02):