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arXiv · 2412.04875

On estimates of the Bures distance between bosonic Gaussian states

A. S. Holevo
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Abstract

The aim of the present note is to show that the method of our paper ArXiv:2408.11400 with minor extra efforts can be extended to obtain upper bounds for the Bures distance between quantum Gaussian states. We argue that these bounds are better adapted to the Bures distance and hence to the state estimation and learning with the Bures distance rather than that with the trace-norm distance.

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A. S. Holevo. 2024-12-06. On estimates of the Bures distance between bosonic Gaussian states. https://arxiv.org/abs/2412.04875

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