• The quantum Fisher information is a central quantity in quantum metrology and is the quantum analogue of the classical Fisher information. It is one of...
    23 KB (3,780 words) - 10:30, 14 May 2024
  • mathematical statistics, the Fisher information (sometimes simply called information) is a way of measuring the amount of information that an observable random...
    50 KB (7,562 words) - 14:57, 29 May 2024
  • terms of mixed states, it is the quantum Bures metric. Considered purely as a matrix, it is known as the Fisher information matrix. Considered as a measurement...
    24 KB (4,183 words) - 18:05, 17 April 2024
  • F Q [ ϱ , H ] {\displaystyle F_{\rm {Q}}[\varrho ,H]} is the quantum Fisher information. Here, ϱ {\displaystyle \varrho } is the state of the system and...
    4 KB (658 words) - 18:54, 9 December 2023
  • Bures metric (category Quantum information science)
    between density matrix operators defining quantum states. It is a quantum generalization of the Fisher information metric, and is identical to the Fubini–Study...
    15 KB (2,541 words) - 18:05, 25 March 2024
  • F Q [ ϱ , H ] {\displaystyle F_{\rm {Q}}[\varrho ,H]} is the quantum Fisher information. One example of note is the use of the NOON state in a Mach–Zehnder...
    12 KB (1,454 words) - 08:30, 20 January 2024
  • Thumbnail for Uncertainty principle
    where F Q [ ϱ , B ] {\displaystyle F_{Q}[\varrho ,B]} denotes the quantum Fisher information and the density matrix is decomposed to pure states as ϱ = ∑ k...
    138 KB (19,105 words) - 13:37, 1 June 2024
  • Symmetric logarithmic derivative (category Quantum information science)
    logarithmic derivative is an important quantity in quantum metrology, and is related to the quantum Fisher information. Let ρ {\displaystyle \rho } and A {\displaystyle...
    4 KB (660 words) - 14:50, 15 September 2023
  • sufficiency in quantum statistical inference, quantum Fisher information, and the related concept of monotone metrics in quantum information geometry. He...
    6 KB (565 words) - 12:22, 12 January 2023
  • Thumbnail for Information geometry
    distributions. Historically, information geometry can be traced back to the work of C. R. Rao, who was the first to treat the Fisher matrix as a Riemannian...
    8 KB (811 words) - 07:59, 25 May 2024