We present an error analysis of various tomographic protocols based on the linear inversion
for the reconstruction of an unknown two-qubit state. We solve the problem of finding a …

We present a complete methodology for testing the performances of quantum tomography
protocols. The theory is validated by several numerical examples and by the comparison …

We formulate a new conceptual approach for one-shot complete polarization state
measurement with nanostructured metasurfaces applicable to classical light and …

In standard optical tomographic methods, the off-diagonal elements of a density matrix ρ are
measured indirectly. Thus, the reconstruction of ρ, even if it is based on linear inversion …

We propose a learning method for estimating unknown pure quantum states. The basic idea
of our method is to learn a unitary operation U ̂ that transforms a given unknown state| ψ τ〉 …

A novel machine-learning algorithm based on single-shot measurements, named single-
shot measurement learning, is demonstrated achieving the theoretical optimal accuracy. The …

The first application of neural networks in the problem of ghost polarimetry is reported. The
proposed approach has enabled the reconstruction of the spatial distribution of object …

A new methodology of statistical estimation of the quality of quantum measurement protocols
is considered. The method is based on studying the completeness, adequacy, and accuracy …

The method of estimating the adequacy, completeness, and accuracy of quantum
tomography protocols is generalized to the case of mixed states of polarization qubits. The …

State of a d-dimensional quantum system can only be inferred by performing an
informationally complete measurement with m\geqslant d^ 2 outcomes. However, an …