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Advances in quantum technology require scalable techniques to efficiently extract information from a quantum system, such as expectation values of observables or its entropy.
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Supplementary Material, which contains the derivation of the classical shadow from the least square estimator, the discussion on the relationship between randomising unitaries with generalised measurements, the symmetry analysis of classical shadows, the proof of the optimality of the octahedron measurement for the construction of random observables with further references Heinosaari and Ziman 2012 ; D'Ariano et al. 2005 ; Nachman et al. 2020 ; Temme et al. 2017 ; Press et al. 2007 ; Granville et al. 1994 ; Fulton and Harris 2004
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2022
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2022
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2022
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