A brief overview of quantum state estimation and its application in circuit quantum electrodynamics
YANG Yang
QI Bo
CUI Wei
Abstract：Quantum state estimation is of great importance in quantum computation and control. In general, quantum state estimation includes quantum state tomography that reconstructs the unknown quantum states (or the initial states of certain process) and quantum filter that real-time estimate the quantum states. Firstly, we introduce some recent progress of quantum state tomography including maximum-likelihood estimation, compressive sensing method and the linear re-gression estimation. We review their advantage and disadvantage and give their respective application range. Secondly, by focusing on the circuit quantum electrodynamics (circuit QED), we review the quantum Bayesian estimation method for real-time estimation of the quantum state, i.e., quantum filter, under the continuous weak quantum measurement. More-over, we have implemented the quantum Bayesian estimation method by simulation, from which it is easy to find that the Bayesian estimation method can real-time precisely track the evolution of the quantum state.
Keywords：quantum state estimationquantum state tomographymaximum likelihoodcompressive sensinglinear regression estimationbayesian estimatesquantum filter
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：14( 1446-1459 )