Tensor Decompositions with Applications to Local Unitary and Stochastic Local Operations and Classical Communication Equivalence of Multipartite Pure States

被引:0
|
作者
Department of Mathematics and Statistics, Auburn University, Auburn [1 ]
AL
36849-531, United States
机构
来源
Siam J. Appl. Algebr. Geom. | 2025年 / 9卷 / 01期
关键词
This work was supported by the Thomas Jefferson Foundation; Centre National de la Recherche Scientifique; and Universite de Technologie de Belfort Montbeliard. The authors would also like to thank Fredric Holweck and Nick Van-nieuwenhoven for useful discussions. We thank the anonymous referees who provided useful feedback;
D O I
10.1137/24M1643451
中图分类号
学科分类号
摘要
40
引用
收藏
页码:33 / 57
相关论文
共 50 条
  • [2] The Local Unitary Equivalence of Multipartite Pure States
    Wang, Yan-Ling
    Li, Mao-Sheng
    Fei, Shao-Ming
    Zheng, Zhu-Jun
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2015, 54 (02) : 425 - 434
  • [3] The Local Unitary Equivalence of Multipartite Pure States
    Yan-Ling Wang
    Mao-Sheng Li
    Shao-Ming Fei
    Zhu-Jun Zheng
    International Journal of Theoretical Physics, 2015, 54 : 425 - 434
  • [4] Local unitary equivalence and entanglement of multipartite pure states
    Kraus, B.
    PHYSICAL REVIEW A, 2010, 82 (03):
  • [5] Local Unitary Equivalence of Quantum States Based on the Tensor Decompositions of Unitary Matrices
    Wang, Jing
    Liu, Xiaoqi
    Xu, Li
    Li, Ming
    Li, Lei
    Shen, Shuqian
    ENTROPY, 2023, 25 (08)
  • [6] Necessary and sufficient condition for the equivalence of two pure multipartite states under stochastic local incoherent operations and classical communications
    Chakraborty, Dipayan
    Dey, Prabir Kumar
    Das, Nabendu
    Chattopadhyay, Indrani
    Bhar, Amit
    Sarkar, Debasis
    PHYSICAL REVIEW A, 2019, 100 (05)
  • [7] Multipartite entanglement under stochastic local operations and classical communication
    Miyake, A
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2004, 2 (01) : 65 - 77
  • [8] On Local Unitary Equivalence of Multipartite Quantum States
    Yanjun Chu
    Keke Zhang
    Mengli Liu
    International Journal of Theoretical Physics, 64 (3)
  • [9] Criterion of local unitary equivalence for multipartite states
    Zhang, Ting-Gui
    Zhao, Ming-Jing
    Li, Ming
    Fei, Shao-Ming
    Li-Jost, Xianqing
    PHYSICAL REVIEW A, 2013, 88 (04):
  • [10] Matrix Tensor Product Approach to the Equivalence of Multipartite States under Local Unitary Transformations
    GAO Xiu-Hong~1 S.Alberverio~2 FEI Shao-Ming~(1
    Communications in Theoretical Physics, 2006, 45 (02) : 267 - 270