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arXiv · 2502.01332

A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems

Valery Ugrinovskii·Shuixin Xiao
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Abstract

The coherent equalization problem consists in designing a quantum system acting as a mean-square near-optimal filter for a given quantum communication channel. The paper develops an improved method for the synthesis of transfer functions for such equalizing filters, based on a linear quantum system model of the channel. The method draws on a connection with the two-disk problem of ${H}_{\infty}$ control for classical (i.e., non-quantum) linear uncertain systems. Compared with the previous methods, the proposed method applies to a broader class of linear quantum communication channels.

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BibTeXRIS

Valery Ugrinovskii, Shuixin Xiao. 2025-02-03. A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems. https://arxiv.org/abs/2502.01332

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