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

Quantum Physics 2024-11-27 v1

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.

Keywords

Cite

@article{arxiv.2407.13433,
  title  = {Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states},
  author = {Jian-Dong Zhang and Chuang Li and Lili Hou and Shuai Wang},
  journal= {arXiv preprint arXiv:2407.13433},
  year   = {2024}
}
R2 v1 2026-06-28T17:45:53.738Z