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Quantum interferometry via a coherent state mixed with a squeezed number state |
| Li-Li Hou(侯丽丽)1, Yong-Xing Sui(眭永兴)1, Shuai Wang(王帅)1, Xue-Fen Xu(许雪芬)2 |
1 School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China;
2 Department of Fundamental Courses, Wuxi Institute of Technology, Wuxi 214121, China |
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Abstract We theoretically investigate the phase sensitivity with parity measurement on a Mach-Zehnder interferometer with a coherent state combined with a squeezed number state. Within a constraint on the total mean photon number, we find, via parity measurement, that the mixing of a coherent state and squeezed number state can give better phase sensitivity than mixing a coherent state and squeezed vacuum state when the phase shift deviates from the optimal phase φ=0. In addition, we show that the classical Fisher information for parity measurement saturates the quantum Fisher information when the phase shift approaches to zero. Thus, the quantum Cramér-Rao bound can be reached via the parity measurement in the case of φ=0.
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Received: 13 December 2018
Revised: 15 January 2019
Accepted manuscript online:
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PACS:
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42.50.Dv
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(Quantum state engineering and measurements)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11404040) and the Qing Lan Project of the Higher Educations of Jiangsu Province of China. |
Corresponding Authors:
Shuai Wang, Xue-Fen Xu
E-mail: ruifeng.wshslxy@jsut.edu.cn;xuxf@wxit.edu.cn
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Cite this article:
Li-Li Hou(侯丽丽), Yong-Xing Sui(眭永兴), Shuai Wang(王帅), Xue-Fen Xu(许雪芬) Quantum interferometry via a coherent state mixed with a squeezed number state 2019 Chin. Phys. B 28 044203
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