Approaches to Quantum State Tomography

Abstract: Exploring high-dimensional quantum states is pivotal for understanding complex quantum systems and advancing quantum technologies. However, their implementation and characterization pose significant challenges. In this talk, I will deal with the problem of characterizing large quantum systems. To this end, quantum state tomography has emerged as a fundamental tool, but its main drawback, the curse of dimensionality, makes it impractical even for small quantum systems. I will first show some approaches developed over the years to make quantum state tomography more efficient. Finally, I will present some recent results on a novel approach, called threshold quantum state tomography, which can significantly reduce the number of measurements required to accurately reconstruct the density matrix of the state.