基于压缩纯态的量子Cramér-Rao边界相位估计

Phase estimation at quantum Cramér-Rao bound based on squeezed pure state

  • 摘要: 光场相位估计作为一种重要的测量手段,可用于长度、位移和速度等多种物理量的精确测量。利用非经典光场,如压缩态光场、纠缠态光场等,可以提高估算精度,实现量子增强型相位估计。本研究采用实验制备的纯度为0.977的压缩态光场作为探针光源,结合平衡零拍探测与贝叶斯推断方法,在相位估计中实现了超越标准量子极限的测量精度。在最佳相位工作点处,测量精度可达到量子Cramér–Rao界限。实验结果表明,对于压缩纯态光场,平衡零拍探测是最优测量策略,验证了所提方法在量子精密测量中的优越性能,提供了一种简单高效的相位估计机制,为基于多组分纠缠态的多参量估计提供了重要参考。

     

    Abstract: Optical phase estimation serves as a vital measurement technique for achieving high-precision quantification of various physical quantities, such as length, displacement, and velocity. The use of nonclassical states of light, such as squeezed states and entangled states, enables enhanced estimation precision, realizing quantum-enhanced phase estimation. In this work, an experimentally prepared squeezed state with a purity of 0.977 was utilized as the probe light source. By combining balanced homodyne detection with Bayesian inference, we achieved a phase estimation precision that surpasses the standard quantum limit. At the optimal operating phase point, the measurement precision reached quantum Cramér–Rao bound. Experimental results confirmed that for pure squeezed states, balanced homodyne detection constitutes the optimal measurement strategy. This validated the superior performance of the proposed approach in quantum precision measurement, provided a simple and efficient phase estimation scheme, and offered a valuable reference for multiparameter estimation based on multipartite entangled states.

     

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