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Discriminating two non-orthogonal states against decoherence by feedback control

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Abstract

Guo et al. (Phys Rev A 91(2):022321, 2015) introduced the feed-forward control to realize a better effect of discrimination of two non-orthogonal states against noise. However, the better effect of discrimination is achieved in a probabilistic way. To solve the problem, we introduce the feedback control to discriminate two non-orthogonal states against noise. It is shown that it can improve the effect of discrimination for any pair of non-orthogonal states and any strength of amplitude damping noise largely in a deterministic way. In particular, our optimum probability of discrimination can be higher than that of discriminating two initial non-orthogonal pure states for not only equal a priori probabilities but also unequal a priori probabilities. We also examine the approach in the presence of different noise sources and find it works well for all typical types of noise sources ranging from a single type of noise to the combination of different types of noise.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 61572053); Beijing Natural Science Foundation (Grant No. 4182006); Guangxi Key Laboratory of Cryptography and Information Security (No. GCIS201810).

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Authors and Affiliations

  1. Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China

    Yu-Guang Yang, Ning Chen, Yong-Li Yang, Yi-Hua Zhou & Wei-Min Shi

  2. Guangxi Key Laboratory of Cryptography and Information Security, Guangxi, 541004, China

    Yu-Guang Yang

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  1. Yu-Guang Yang
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  2. Ning Chen
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Correspondence to Yu-Guang Yang.

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Yang, YG., Chen, N., Yang, YL. et al. Discriminating two non-orthogonal states against decoherence by feedback control. Quantum Inf Process 19, 69 (2020). https://doi.org/10.1007/s11128-019-2568-z

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