Quantum State Tomography as a Bilevel Problem, Utilizing I-Q Plane Data
Quantum Physics
2022-05-03 v2 Optimization and Control
Abstract
It is natural to ask how to utilize actual measurements, such as the so-called IQ-plane data obtained in the dispersive readout of transmon qubits, in the estimation of the state of a quantum system. We formulate the joint problem of discrimination and quantum state tomography as a bilevel optimization problem and show how to solve it. The use of the joint problem can improve the sample complexity (or the reconstruction error for a fixed number of measurements) compared with traditional techniques that decompose the problem into the discrimination and state tomography based on the estimated expectation values of certain projective measurement operators.
Cite
@article{arxiv.2108.03448,
title = {Quantum State Tomography as a Bilevel Problem, Utilizing I-Q Plane Data},
author = {Georgios Korpas and Jakub Marecek},
journal= {arXiv preprint arXiv:2108.03448},
year = {2022}
}