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Chin. Phys. B, 2021, Vol. 30(9): 090304    DOI: 10.1088/1674-1056/ac0bae
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Quantum metrology with coherent superposition of two different coded channels

Dong Xie(谢东)1,†, Chunling Xu(徐春玲)1, and Anmin Wang(王安民)2
1 College of Science, Guilin University of Aerospace Technology, Guilin 541004, China;
2 Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
Abstract  We investigate the advantage of coherent superposition of two different coded channels in quantum metrology. In a continuous variable system, we show that the Heisenberg limit 1/N can be beaten by the coherent superposition without the help of indefinite causal order. And in parameter estimation, we demonstrate that the strategy with the coherent superposition can perform better than the strategy with quantum switch which can generate indefinite causal order. We analytically obtain the general form of estimation precision in terms of the quantum Fisher information and further prove that the nonlinear Hamiltonian can improve the estimation precision and make the measurement uncertainty scale as 1/Nm for m≥2. Our results can help to construct a high-precision measurement equipment, which can be applied to the detection of coupling strength and the test of time dilation and the modification of the canonical commutation relation.
Keywords:  quantum metrology      quantum switch      quantum Fisher information      coherent superposition  
Received:  14 April 2021      Revised:  23 May 2021      Accepted manuscript online:  16 June 2021
PACS:  03.67.-a (Quantum information)  
  06.20.-f (Metrology)  
  03.65.Aa (Quantum systems with finite Hilbert space)  
  03.65.-w (Quantum mechanics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 62001134), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2020GXNSFAA159047), and the National Key Research and Development Program of China (Grant No. 2018YFB1601402-2).
Corresponding Authors:  Dong Xie     E-mail:

Cite this article: 

Dong Xie(谢东), Chunling Xu(徐春玲), and Anmin Wang(王安民) Quantum metrology with coherent superposition of two different coded channels 2021 Chin. Phys. B 30 090304

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