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The precision of Mach–Zehnder interferometer in the presence of bit-phase flip

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Abstract

The paper presents the phase precision of three input cases in the presence of bit-phase flip. If bit-phase flip exists in two arms of interferometer, the precision of coherent state and vacuum state will keep in the standard quantum limit, and the precision of coherent state and squeezed vacuum state drops from 1\(/N^{0.75}\) to the standard quantum limit. If bit-phase flip exists before the first beam splitter or after the second beam splitter, all the precisions of three input cases will firstly decrease and then increase with increasing \(\eta \) (parameters characterizing noise strength) from 0 to 1. Spin squeezing state is more likely to be affected by bit-phase flip, and its precision is lower than the other two input cases when \(\eta \) approaches 0.5. We found the precision of the spin squeezing state decreases faster than the other two cases in most instances.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 61306131) and by the Science Foundation of Shaanxi Provincial Department of Education (Grant No. 14JK1682).

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Authors and Affiliations

  1. School of Electronic Engineering, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    Duan Xie

  2. School of Information and Technology, Northwest University, Xi’an, 710069, China

    Jian Zhao

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  1. Duan Xie
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  2. Jian Zhao
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Correspondence to Duan Xie.

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Xie, D., Zhao, J. The precision of Mach–Zehnder interferometer in the presence of bit-phase flip. Cluster Comput 22 (Suppl 4), 7885–7894 (2019). https://doi.org/10.1007/s10586-017-1484-1

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  • DOI: https://doi.org/10.1007/s10586-017-1484-1

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