SCIENCE CHINA Information Sciences, Volume 64 , Issue 12 : 229501(2021) https://doi.org/10.1007/s11432-020-3037-1

## Quantum illumination with post-processing of displacement and anti-displacement operations

• AcceptedAug 3, 2020
• PublishedMay 26, 2021
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### Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant Nos. 11574400, 11204379, 11981240356).

### Supplement

Appendixes A–C. Appendix A is about the scheme of quantum illumination and basic formalism. Appendix B describes the quantum state evolution in illumination. Appendix C shows the physical implementation of on-line displacement operation.

### References

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• Figure 1

(Color online) (a) Target detection in the two-mode squeezed state. (b) Enhanced target detection via displacement and anti-displacement operations. On considering a displacement amplitude of zero, this scheme is reduced to the traditional quantum illumination scheme. (c) Channel model of the interaction with the target. (d) Practical implementation of displacement operation using a beam splitter with transmittance $T_0$, ancillary coherent states $|\beta_0\rangle$, and $|-\beta_0\rangle$ in $F$ and $G$ modes. BS1 is a beam splitter with transmittance $T=1-\kappa$; it is used to model the target. Trash boxes denote the discarding operation. (e) Value of $Q_{E^\prime~A}$ for a low-reflectivity target in a noisy environment, such that $\kappa_t=0.05$, $N_s=0.5$, and $N_B=5$. (f) Its corresponding $P_\mathrm{QCB}^M$ for $M=1000$.

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