Maximum likelihood estimation and Bayesian analysis are exploited to study the quantum phase esti-mation in a twin-Fock state input Mach-Zehnder(M-Z)interferometer.After the theoretical and numerical calculation of particle-number difference measurement and parity measurement at the output of M-Z interfer-ometer,the Bayesian analysis combined with particle-number difference measurement is found to be the best scheme for the optimal phase estimation,and the precision attains the quantum measurement limit given by quan-tum Cramer-Rao Lower Bound in full phase space.Meanwhile,the number of sample needed in Bayesian anal-ysis is less than Maximum likelihood estimation.In the study of parity measurement,Bayesian analysis is found unsuitable for phase estimation,but Maximum likelihood estimation is good.With the Monte Carlo simulation of the specific phase estimation,the theoretical result is verified,i.e.,the precision of phase estimation will change with the change of estimated θ0.Compared with the result of particle-number difference measurement,we fur-ther confirm the superiority of the particle-number difference measurement.
关键词
双数态/相位估计/粒子数差测量/宇称测量/量子Fisher信息
Key words
Twin-Fock state/Phase estimation/Particle-number difference measurement/Parity measure-ment/Quantum Fisher information
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