SCIENCE CHINA Information Sciences, Volume 64 , Issue 8 : 189202(2021) https://doi.org/10.1007/s11432-018-9793-2

## On-line quantum state estimation using continuous weak measurement and compressed sensing

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• ReceivedSep 28, 2018
• AcceptedFeb 14, 2019
• PublishedJun 2, 2020
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### Abstract

There is no abstract available for this article.

### Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant Nos. 61573330, 61720106009)

### References

[1] Nielsen M A, Chuang I L. Quantum Computation and Quantum Information. Cambridge: Cambridge University Press, 2010. Google Scholar

[2] Eldar Y C, Kutyniok G. Compressed Sensing: Theory and Applications. Cambridge: Cambridge University Press, 2012. Google Scholar

[3] Zheng K, Li K, Cong S. A reconstruction algorithm for compressive quantum tomography using various measurement sets. Sci Rep, 2016, 6: 38497 CrossRef PubMed ADS Google Scholar

[4] Zhang J, Li K, Cong S. Efficient reconstruction of density matrices for high dimensional quantum state tomography. Signal Processing, 2017, 139: 136-142 CrossRef Google Scholar

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• Figure 1

(Color online) (a) On-line estimation of the quantum state based on continuous weak measurements; (b) evolution trajectories of the actual state $\rho~(t)$ (red line) and the on-line estimation state $\tilde{\rho~}(t)$ (blue line) in the Bloch sphere; (c) fidelity of sampling times with three different noise amplitudes.

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