QUANTUM-STATE SPACE METRIC AND CORRELATIONS

被引:23
|
作者
ABE, S
机构
[1] Institute for Theoretical Physics III, University of Erlangen-Nürnberg, W-8520 Erlangen
来源
PHYSICAL REVIEW A | 1992年 / 46卷 / 03期
关键词
D O I
10.1103/PhysRevA.46.1667
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the Fubini-Study metric induced on the quantum evolution submanifold of the projective Hilbert space associated with the evolutions generated by a set of independent operators. It is shown that if the operators are Hermitian, then the off-diagonal components of the metric describe the correlations between them. Thus, not only the uncertainty but also the correlation acquires its geometrical interpretation. We also demonstrate this by using a squeezed state.
引用
收藏
页码:1667 / 1668
页数:2
相关论文
共 50 条
  • [31] Quantum-state diffusion with adaptive noise
    van Dorsselaer, FE
    Nienhuis, G
    EUROPEAN PHYSICAL JOURNAL D, 1998, 2 (02): : 175 - 180
  • [32] Homodyne detection and quantum-state reconstruction
    Welsch, DG
    Vogel, W
    Opatrny, T
    PROGRESS IN OPTICS, VOL XXXIX, 1999, 39 : 63 - 211
  • [33] Relativistic formulation of quantum-state diffusion
    Breuer, HP
    Petruccione, F
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (01): : 33 - 52
  • [34] The Existence and Role of Quantum-state Noise
    Perisic, Aleksandar
    NEUROQUANTOLOGY, 2010, 8 (04) : 626 - 632
  • [35] Quantum-state diffusion with adaptive noise
    F.E. van Dorsselaer
    G. Nienhuis
    The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 1998, 2 : 175 - 180
  • [36] Quantum-State Texture and Gate Identification
    Parisio, Fernando
    PHYSICAL REVIEW LETTERS, 2024, 133 (26)
  • [37] Conditions for compatibility of quantum-state assignments
    Caves, CM
    Fuchs, CA
    Schack, R
    PHYSICAL REVIEW A, 2002, 66 (06): : 11
  • [38] Quantum-State Renormalization in Semiconductor Nanoparticles
    Chen, Jie
    Kramer, Rena C.
    Howell, Thomas R.
    Loomis, Richard A.
    ACS Nano, 2024, 18 (52) : 35104 - 35118
  • [39] Conditions for compatibility of quantum-state assignments
    Caves, Crlton M.
    Fuchs, Christopher A.
    Schack, Rüdiger
    Physical Review A - Atomic, Molecular, and Optical Physics, 2002, 66 (06): : 621111 - 621111
  • [40] Quantum-state control in optical lattices
    Deutsch, IH
    Jessen, PS
    PHYSICAL REVIEW A, 1998, 57 (03): : 1972 - 1986