Quantum state reconstruction

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We demonstrate a tomographic reconstruction algorithm that relies on data collected during the evolution of an unknown quantum state. We estimate the state density matrix as well as the dephasing noise present in the system by assuming complete knowledge of the hamiltonian evolution. Our scheme therefore realizes quantum state tomography but could readily be modified to perform quantum process tomography by assuming complete knowledge of the input states.

C. Lovecchio et al.,
Quantum state reconstruction on Atom-Chips
New J. Phys. 17, 093024 (2015)