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Denoising quantum mixed states using quantum autoencoders

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Abstract

The presence of noise affects the process of quantum computing and quantum communication, and quantum autoencoders (QAEs) provide a new solution for dealing with this problem. Previous study has shown that QAEs could denoise pure quantum states subject to spin-flip errors and random unitary noise (Bondarenko and Feldmann Phys Rev Lett 124: 130502, 2020). However, avoiding or reducing the interference of noise on mixed states remains an interesting problem in quantum communication and quantum computing. In this paper, the denoising effect of QAEs for mixed states is studied. We investigate the denoising effect of QAEs for a specific type of mixed states in four types of noise usually encountered in the real world, i.e., the bit-flip, the phase-flip, the depolarizing, and the amplitude-damping noise. Simulation results show that the QAEs can significantly denoise four types of noise on mixed states with different noisy and mixed parameters.

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Data Availability Statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This project was supported by the National Natural Science Foundation of China (Grant No. 61601358).

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  1. Shaanxi Key Laboratory of Clothing Intelligence, School of Computer Science, Xi’an Polytechnic University, Xi’an, 710048, China

    Ming-Ming Wang

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  1. Ming-Ming Wang
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Wang, MM. Denoising quantum mixed states using quantum autoencoders. Quantum Inf Process 23, 30 (2024). https://doi.org/10.1007/s11128-023-04239-z

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