On the Measure of Quantum Correlations

被引：0
|
作者：
Majewski, Wladyslaw Adam [1 ]
机构：
[1] North West Univ, Sch Math & Stat Sci, UNIT BMI, Internal Box 209, Private Bag X6001, ZA-2520 Potchefstroom, South Africa
来源：
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2023年 / 14卷 / 01期
关键词：
Quantum correlations; C*-algebra; Decomposition theory;
D O I：
10.26713/cma.v14i1.1829
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present novel qualities of the measure of noncommutative (so quantum) correlations for general quantum systems. In other words, the fundamental difference between classical and non-commutative probability will be studied. In particular, we introduce the notion of coefficient of quantum correlations d(& omega;, A). The main theorem says that there are quantum correlations if and only if d(& omega;, A) > 0. Our presentation is done within C*-algebraic description of Quantum Theory.
引用
收藏
页码：227 / 235
页数：9
相关论文
共 50 条
  • [1] Observable Measure of Bipartite Quantum Correlations
    Girolami, Davide
    Adesso, Gerardo
    PHYSICAL REVIEW LETTERS, 2012, 108 (15)
  • [2] Measure of general quantum correlations in optomechanics
    Amazioug, M.
    Nassik, M.
    Habiballah, N.
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2018, 16 (05)
  • [3] Measure and control of quantum correlations in optomechanics
    Amazioug, M.
    Daoud, M.
    EUROPEAN PHYSICAL JOURNAL D, 2021, 75 (06):
  • [4] Measure and control of quantum correlations in optomechanics
    M. Amazioug
    M. Daoud
    The European Physical Journal D, 2021, 75
  • [5] Quantum discord: A measure of the quantumness of correlations
    Ollivier, H
    Zurek, WH
    PHYSICAL REVIEW LETTERS, 2002, 88 (01) : 4
  • [6] The negativity of Wigner function as a measure of quantum correlations
    Siyouri, F.
    El Baz, M.
    Hassouni, Y.
    QUANTUM INFORMATION PROCESSING, 2016, 15 (10) : 4237 - 4252
  • [7] The negativity of Wigner function as a measure of quantum correlations
    F. Siyouri
    M. El Baz
    Y. Hassouni
    Quantum Information Processing, 2016, 15 : 4237 - 4252
  • [8] Computable measure of total quantum correlations of multipartite systems
    Behdani, Javad
    Akhtarshenas, Seyed Javad
    Sarbishaei, Mohsen
    QUANTUM INFORMATION PROCESSING, 2016, 15 (04) : 1601 - 1627
  • [9] Characterising the correlations of prepare-and-measure quantum networks
    Yukun Wang
    Ignatius William Primaatmaja
    Emilien Lavie
    Antonios Varvitsiotis
    Charles Ci Wen Lim
    npj Quantum Information, 5
  • [10] Characterising the correlations of prepare-and-measure quantum networks
    Wang, Yukun
    Primaatmaja, Ignatius William
    Lavie, Emilien
    Varvitsiotis, Antonios
    Lim, Charles Ci Wen
    NPJ QUANTUM INFORMATION, 2019, 5 (1)
12345