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
  • [41] Stochastic local operations and classical communication (SLOCC) and local unitary operations (LU) classifications of n qubits via ranks and singular values of the spin-flipping matrices
    Li, Dafa
    QUANTUM INFORMATION PROCESSING, 2018, 17 (06)
  • [42] Stochastic local operations and classical communication (SLOCC) and local unitary operations (LU) classifications of n qubits via ranks and singular values of the spin-flipping matrices
    Dafa Li
    Quantum Information Processing, 2018, 17
  • [43] Local unitary versus local Clifford equivalence of stabilizer and graph states
    Zeng, Bei
    Chung, Hyeyoun
    Cross, Andrew W.
    Chuang, Isaac L.
    PHYSICAL REVIEW A, 2007, 75 (03):
  • [44] Optimal local discrimination of two multipartite pure states
    Virmani, S
    Sacchi, MF
    Plenio, MB
    Markham, D
    PHYSICS LETTERS A, 2001, 288 (02) : 62 - 68
  • [45] Unambiguous discrimination of special sets of multipartite states using local measurements and classical communication
    Mimih, J
    Hillery, M
    PHYSICAL REVIEW A, 2005, 71 (01):
  • [46] Unambiguous discrimination of two nonorthogonal multipartite states using local measurements and classical communication
    Mimih, J
    Hillery, M
    Fluctuations and Noise in Photonics and Quantum Optics III, 2005, 5846 : 114 - 118
  • [47] Optimal conclusive discrimination of two nonorthogonal pure product multipartite states through local operations
    Chen, Yi-Xin
    Yang, Dong
    Physical Review A. Atomic, Molecular, and Optical Physics, 2001, 64 (06): : 1 - 064303
  • [48] Unambiguous discrimination of fermionic states through local operations and classical communication
    Lugli, Matteo
    Perinotti, Paolo
    Tosini, Alessandro
    PHYSICAL REVIEW A, 2021, 103 (01)
  • [49] Local unitary equivalence of multiqubit mixed quantum states
    Li, Ming
    Zhang, Tinggui
    Fei, Shao-Ming
    Li-Jost, Xianqing
    Jing, Naihuan
    PHYSICAL REVIEW A, 2014, 89 (06):
  • [50] Symmetric states: Local unitary equivalence via stabilizers
    Cenci, Curt D.
    Lyons, David W.
    Snyder, Laura M.
    Walck, Scott N.
    Quantum Information and Computation, 2010, 10 (11-12): : 1029 - 1041