Quantum parameter estimation via dispersive measurement in circuit QED

摘要

We investigate the quantum parameter estimation in circuit quantum electrodynamics via dispersive measurement. Based on the Metropolis-Hastings algorithm and the Markov chain Monte Carlo (MCMC) integration, a new algorithm is proposed to calculate the Fisher information by the stochastic master equation. The Fisher information is expressed in the form of log-likelihood functions and further approximated by the MCMC integration. Numerical results show that the evolution of the Fisher information can approach the quantum Fisher information in a short time interval. These results demonstrate the effectiveness of the proposed algorithm. Finally, based on the proposed algorithm, we consider the effects of the measurement operator and the measurement efficiency on the Fisher information.