Abstract
When we have i.i.d. unknown quantum states of \({\hat{\rho }}\), how precisely can we estimate expectation values \(\langle {{\hat{A}}}\rangle \) and \(\langle {{\hat{B}}}\rangle \) of two non-commuting observables \({\hat{A}}\) and \({\hat{B}}\)? In this chapter, we show the uncertainty relations between the measurement errors of the two observables.
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References
T. Sagawa, M. Ueda, Phys. Rev. A 77, 012313 (2008)
H. Nagaoka, Trans. Jap. Soc. Ind. Appl. Math. 1, 43 (1991)
M. Hayashi, Asymptotic Theory of Quantum Statistical Inference: Selected Papers (World Scientific, Singapore, 2005)
R.D. Gill, S. Massar, Phys. Rev. A 61, 042312 (2000)
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Watanabe, Y. (2014). Uncertainty Relations Between Measurement Errors of Two Observables. 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_8
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DOI: https://doi.org/10.1007/978-4-431-54493-7_8
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