本文详细分析了各向同性和各向异性光子晶体环境对参数估计精度的影响,得到一些重要结论。研究发现,量子比特跃迁频率和光子晶体带隙边缘频率之间的失谐量和粒子数N对测量精度有着重要影响:通过调控失谐量,最优测量精度可长时间保持在海森堡极限附近;粒子数N增大时,测量精度可呈现出随之降低的情况。

The effect of isotropic and anisotropic photonic crystal environment on the precision of parameter estimation was studied in detail and some important results had been obtained. It showed that both the detuning between the qubit’s transition frequency and the band edge of the photonic crystal and particle number N play a key role in the precision. By adjusting the detuning, the optimal precision of estimation can approach to the Heisenberg limit for a long time. At the same time, the estimation precision may be reduced with the increase of particle number.