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
  • [11] The simplex of tracial quantum symmetric states
    Dabrowski, Yoann
    Dykema, Kenneth J.
    Mukherjee, Kunal
    STUDIA MATHEMATICA, 2014, 225 (03) : 203 - 218
  • [12] Quantum Teleportation Using Symmetric States as Quantum Channel
    Ram, Jagat
    Dutt, Dev
    Dhiman, Shashi K.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2025, 64 (03)
  • [13] Weaving quantum optical frequency combs into hypercubic cluster states
    Wang, Pei
    Chen, Moran
    Pfister, Olivier
    Menicucci, Nicolas C.
    2014 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2014,
  • [14] Integrability, neural and quantum computational complexity
    Krishnamurthy, EV
    Krishnamurthy, V
    WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL 1, PROCEEDINGS: ISAS '98, 1998, : 547 - 554
  • [15] Spectral properties of symmetric quantum states and symmetric entanglement witnesses
    Champagne, Gabriel
    Johnston, Nathaniel
    MacDonald, Mitchell
    Pipes, Logan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 649 : 273 - 300
  • [16] Algorithmic complexity and entanglement of quantum states
    Mora, CE
    Briegel, HJ
    PHYSICAL REVIEW LETTERS, 2005, 95 (20)
  • [17] A survey on the complexity of learning quantum states
    Anurag Anshu
    Srinivasan Arunachalam
    Nature Reviews Physics, 2024, 6 : 59 - 69
  • [18] Quantum chaos and the complexity of spread of states
    Balasubramanian, Vijay
    Caputa, Pawel
    Magan, Javier M.
    Wu, Qingyue
    PHYSICAL REVIEW D, 2022, 106 (04)
  • [19] A survey on the complexity of learning quantum states
    Anshu, Anurag
    Arunachalam, Srinivasan
    NATURE REVIEWS PHYSICS, 2024, 6 (01) : 59 - 69
  • [20] Distinguishability of quantum states and shannon complexity in quantum cryptography
    I. M. Arbekov
    S. N. Molotkov
    Journal of Experimental and Theoretical Physics, 2017, 125 : 50 - 64