Adaptive quantum tomography of high-dimensional bipartite systems

TL;DR

This paper introduces an adaptive quantum tomography protocol optimized for high-dimensional bipartite systems, demonstrating improved accuracy and efficiency for states up to 36 dimensions through experimental implementation.

Contribution

The paper presents a novel, computationally feasible adaptive tomography method tailored for high-dimensional quantum states, outperforming existing approaches.

Findings

Improved infidelity scaling with the number of measurements

Successful experimental tomography of 36-dimensional states

Enhanced efficiency over traditional methods

Abstract

Adaptive measurements have recently been shown to significantly improve the performance of quantum state and process tomography. However, the existing methods either cannot be straightforwardly applied to high-dimensional systems or are prohibitively computationally expensive. Here we propose and experimentally implement a novel tomographic protocol specially designed for the reconstruction of high-dimensional quantum states. The protocol shows qualitative improvement in infidelity scaling with the number of measurements and is fast enough to allow for complete state tomography of states with dimensionality up to 36.