Rigorous noise reduction with quantum autoencoders

• URL: http://arxiv.org/abs/2308.16153v1
• Date: Wed, 30 Aug 2023 17:19:31 GMT
• Title: Rigorous noise reduction with quantum autoencoders
• Authors: Wai-Keong Mok, Hui Zhang, Tobias Haug, Xianshu Luo, Guo-Qiang Lo, Hong Cai, M. S. Kim, Ai Qun Liu and Leong-Chuan Kwek
• Abstract summary: We propose and demonstrate a scheme to reduce noise using a quantum autoencoder with rigorous performance guarantees. We find various noise models where we can perfectly reconstruct the original state even for high noise levels. Our results can be directly applied to make quantum technologies more robust to noise.
• Score: 6.653258292269479
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Reducing noise in quantum systems is a major challenge towards the application of quantum technologies. Here, we propose and demonstrate a scheme to reduce noise using a quantum autoencoder with rigorous performance guarantees. The quantum autoencoder learns to compresses noisy quantum states into a latent subspace and removes noise via projective measurements. We find various noise models where we can perfectly reconstruct the original state even for high noise levels. We apply the autoencoder to cool thermal states to the ground state and reduce the cost of magic state distillation by several orders of magnitude. Our autoencoder can be implemented using only unitary transformations without ancillas, making it immediately compatible with the state of the art. We experimentally demonstrate our methods to reduce noise in a photonic integrated circuit. Our results can be directly applied to make quantum technologies more robust to noise.

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