Machine learning (ML) has emerged as a formidable force for identifying hidden but
pertinent patterns within a given data set with the objective of subsequent generation of …

Intuitively, if a density operator has small rank, then it should be easier to estimate from
experimental data, since in this case only a few eigenvectors need to be learned. We prove …

Entanglement is the key quantum resource for improving measurement sensitivity beyond
classical limits. However, the production of entanglement in mesoscopic atomic systems has …

The amount of intrinsic randomness that can be extracted from measurement on quantum
systems depends on several factors: notably, the power given to the adversary and the level …

A simple yet efficient state reconstruction algorithm of linear regression estimation (LRE) is
presented for quantum state tomography. In this method, quantum state reconstruction is …

Adaptive techniques have great potential for wide application in enhancing the precision of
quantum parameter estimation. We present an adaptive quantum state tomography protocol …

Reliable and well-characterized quantum resources are indispensable ingredients in
quantum information processing. Typically, in a realistic characterization of these resources …

Two-qubit systems typically employ 36 projective measurements for high-fidelity
tomographic estimation. The overcomplete nature of the 36 measurements suggests …

Attosecond science offers unprecedented precision in probing the initial moments of
chemical reactions, revealing the dynamics of molecular electrons that shape reaction …

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 …