Anticoherent spin-2 states and spherical designs

被引:1
作者
Wang, Meichao [1 ]
Zhu, Yan [1 ]
机构
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
关键词
anticoherent spin states; spherical designs; Majorana representation; CONSTRUCTION;
D O I
10.1088/1751-8121/ac971d
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Anticoherent spin states are introduced as quantum states that exhibit maximally nonclassical behaviors which are important in the study of quantum entanglement. Using Majorana representation of spin states, Crann-Pereira-Kribs studied the relation between anticoherent spin states and spherical designs. They proposed a conjecture that a spin-s state is anticoherent to order t if and only if its Majorana representation is a spherical t-design on S (2). In this paper, we prove that this conjecture is true for s = 2.
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页数:12
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共 30 条
  • [1] Atiyah M., 2003, Milan Journal of Mathematics, V71, P33, DOI DOI 10.1007/S00032-003-0014-1
  • [2] Anticoherence measures for pure spin states
    Baguette, D.
    Martin, J.
    [J]. PHYSICAL REVIEW A, 2017, 96 (03)
  • [3] Anticoherence of spin states with point-group symmetries
    Baguette, D.
    Damanet, F.
    Giraud, O.
    Martin, J.
    [J]. PHYSICAL REVIEW A, 2015, 92 (05):
  • [4] Multiqubit symmetric states with maximally mixed one-qubit reductions
    Baguette, D.
    Bastin, T.
    Martin, J.
    [J]. PHYSICAL REVIEW A, 2014, 90 (03):
  • [5] CONSTRUCTION OF DESIGNS ON THE 2-SPHERE
    BAJNOK, B
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 1991, 12 (05) : 377 - 382
  • [6] A note on anticoherent spin states
    Bannai, Eiichi
    Tagami, Makoto
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (34)
  • [7] Operational Families of Entanglement Classes for Symmetric N-Qubit States
    Bastin, T.
    Krins, S.
    Mathonet, P.
    Godefroid, M.
    Lamata, L.
    Solano, E.
    [J]. PHYSICAL REVIEW LETTERS, 2009, 103 (07)
  • [8] Extremal quantum states and their Majorana constellations
    Bjork, G.
    Klimov, A. B.
    de la Hoz, P.
    Grassl, M.
    Leuchs, G.
    Sanchez-Soto, L. L.
    [J]. PHYSICAL REVIEW A, 2015, 92 (03)
  • [9] Stars of the quantum Universe: extremal constellations on the Poincare sphere
    Bjork, Gunnar
    Grassl, Markus
    de la Hoz, Pablo
    Leuchs, Gerd
    Sanchez-Soto, Luis L.
    [J]. PHYSICA SCRIPTA, 2015, 90 (10)
  • [10] Quantum metrology at the limit with extremal Majorana constellations
    Bouchard, F.
    de la Hoz, P.
    Bjork, G.
    Boyd, R. W.
    Grassl, M.
    Hradil, Z.
    Karimi, E.
    Klimov, A. B.
    Leuchs, G.
    Rehacek, J.
    Sanchez-Soto, L. L.
    [J]. OPTICA, 2017, 4 (11): : 1429 - 1432