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Main Authors: Zhao, Zekun, Kang, Qingqian, Chang, Shoukang, Zhao, Teng, Liu, Cunjin, Su, Xin, Hu, Liyun
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.16123
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author Zhao, Zekun
Kang, Qingqian
Chang, Shoukang
Zhao, Teng
Liu, Cunjin
Su, Xin
Hu, Liyun
author_facet Zhao, Zekun
Kang, Qingqian
Chang, Shoukang
Zhao, Teng
Liu, Cunjin
Su, Xin
Hu, Liyun
contents The accuracy of quantum measurements can be effectively improved by using both photon-added non-Gaussian operations and Kerr nonlinear phase shifters. Here, we employ coherent state mixed photon-added squeezed vacuum state as input into a Mach-Zehnder interferometer with parity detection, thereby achieving a significant enhancement in phase measurement accuracy. Our research focuses on phase sensitivity of linear phase shift under both ideal conditions and photon loss, as well as quantum Fisher information. The results demonstrate that employing the photon addition operations can markedly enhance phase sensitivity and quantum Fisher information, and the measurement accuracy can even approach the Heisenberg limit. In addition, we delve deeper into the scenario of replacing the linear phase shifter with a Kerr nonlinear one and systematically analyze the quantum Fisher information under both ideal and photon loss conditions. By comparison, it is evident that employing both the photon addition operations and the Kerr nonlinear phase shifter can further significantly enhance phase measurement accuracy while effectively improving the system's robustness against photon loss. These findings are instrumental in facilitating the development and practical application of quantum metrology.
format Preprint
id arxiv_https___arxiv_org_abs_2505_16123
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Improved linear and Kerr nonlinear phase estimation via photon addition operations
Zhao, Zekun
Kang, Qingqian
Chang, Shoukang
Zhao, Teng
Liu, Cunjin
Su, Xin
Hu, Liyun
Quantum Physics
The accuracy of quantum measurements can be effectively improved by using both photon-added non-Gaussian operations and Kerr nonlinear phase shifters. Here, we employ coherent state mixed photon-added squeezed vacuum state as input into a Mach-Zehnder interferometer with parity detection, thereby achieving a significant enhancement in phase measurement accuracy. Our research focuses on phase sensitivity of linear phase shift under both ideal conditions and photon loss, as well as quantum Fisher information. The results demonstrate that employing the photon addition operations can markedly enhance phase sensitivity and quantum Fisher information, and the measurement accuracy can even approach the Heisenberg limit. In addition, we delve deeper into the scenario of replacing the linear phase shifter with a Kerr nonlinear one and systematically analyze the quantum Fisher information under both ideal and photon loss conditions. By comparison, it is evident that employing both the photon addition operations and the Kerr nonlinear phase shifter can further significantly enhance phase measurement accuracy while effectively improving the system's robustness against photon loss. These findings are instrumental in facilitating the development and practical application of quantum metrology.
title Improved linear and Kerr nonlinear phase estimation via photon addition operations
topic Quantum Physics
url https://arxiv.org/abs/2505.16123