Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states

• URL: http://arxiv.org/abs/2407.13433v1
• Date: Thu, 18 Jul 2024 12:01:19 GMT
• Title: Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states
• Authors: Jian-Dong Zhang, Chuang Li, Lili Hou, Shuai Wang,
• Abstract summary: We find that two-mode squeezed vacuum states are the optimal inputs and the corresponding precision bound is superior to the Heisenberg limit by a factor of 2. Our work may demonstrate a significant and promising step towards practical quantum metrology.
• Score: 5.626518050662406
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum phase estimation based on Gaussian states plays a crucial role in many application fields. In this paper, we study the precision bound for the scheme using two-mode squeezed Gaussian states. The quantum Fisher information is calculated and its maximization is used to determine the optimal parameters. We find that two single-mode squeezed vacuum states are the optimal inputs and the corresponding precision bound is superior to the Heisenberg limit by a factor of 2. For practical purposes, we consider the effects originating from photon loss. The precision bound can still outperform the shot-noise limit when the lossy rate is below 0.4. Our work may demonstrate a significant and promising step towards practical quantum metrology.

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