Abstract
In this chapter, we develop new techniques to calculate various Fisher information contents based on the Lie algebra. By expanding relevant operators in terms of the generator \({\hat{\mathbf{{\lambda }}}}\) of the Lie algebra, we explicitly calculate various Fisher information contents such as the classical, SLD and RLD Fisher information contents. Here and hereforth, we denote \(J(\mathbf{{M}}) := J_{\mathbf{{\theta }}}(\mathbf{{M}})\), \(J_{\mathbf{{\theta }}}^S := J_S\), \(J_{\mathbf{{\theta }}}^R := J_R\) for simplicity.
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References
Y. Watanabe, T. Sagawa, M. Ueda, Phys. Rev. Lett. 104, 020401 (2010)
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© 2014 Springer Japan
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Watanabe, Y. (2014). Lie Algebraic Approach to the Fisher Information Contents. In: Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54493-7_6
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DOI: https://doi.org/10.1007/978-4-431-54493-7_6
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Publisher Name: Springer, Tokyo
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Online ISBN: 978-4-431-54493-7
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