Work

A practical and efficient approach for Bayesian quantum state estimation

Year: 2020
Type: article
Abstract: Bayesian inference is a powerful paradigm for quantum state tomography, treating uncertainty in meaningful and informative ways. Yet the numerical challenges associated with sampling from complex probability distributions hampers Bayesian tomography in practical settings. In this article, we introduce an improved, self-contained approach for Bayesian quantum state estimation. Leveraging advances in machine learning and statistics, our formulation relies on highly efficient preconditioned Crank–Nicolson sampling and a pseudo-likelihood. We theoretically analyze the computational cost, and provide explicit examples of inference for both actual and simulated datasets, illustrating improved performance with respect to existing approaches.
Language: English
Open Access status: gold
Estimated APC paid: $2,610
OpenAlex ID: W3007765404
FWCI: 6.594
Cites: 39
Cited by: 122
Related to: 10