Experimental Adaptive Bayesian Tomography

TL;DR

This paper demonstrates an experimental adaptive quantum state tomography method using Bayesian inference, achieving near-optimal infidelity scaling for pure states, outperforming non-adaptive protocols.

Contribution

It introduces a Bayesian adaptive tomography protocol with experimental validation, showing improved scaling for pure states compared to traditional methods.

Findings

Achieved close to 1/N infidelity scaling for pure states

Experimental validation on polarization qubits

Method adaptable to higher dimensions

Abstract

We report an experimental realization of an adaptive quantum state tomography protocol. Our method takes advantage of a Bayesian approach to statistical inference and is naturally tailored for adaptive strategies. For pure states we observe close to 1/N scaling of infidelity with overall number of registered events, while best non-adaptive protocols allow for $1/\sqrt{N}$ scaling only. Experiments are performed for polarization qubits, but the approach is readily adapted to any dimension.