Quantum Tomography

310 citations recorded by the source corpus.

This is the draft version of a review paper which is going to appear in"Advances in Imaging and Electron Physics"

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Predicting many properties of a quantum system from very few measurements (2020, background): “Constructive protocols [35, 55] saturate this bound, but require entangled circuits and measurements that act on all state copies simultaneously.”
Hamiltonian Simulation by Qubitization (2016, methodology): “As Hermitian operators are also quantum observables, our methodology also oﬀers a new approach for implementing arbitrary functions of measurement operators on quantum states [1, 13, 24, 38].”
Sample-Optimal Tomography of Quantum States (2015, methodology): “These imply an Ω( dr ) lower bound on the number of copies needed when (cid:15) is constant [39, 48, 49] and has been used in [20] to argue an ˜Ω( r 2 d 2 ) lower bound on the number of copies needed for constant accuracy using adaptive Pauli measurements.”