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

• URL: http://arxiv.org/abs/2502.01332v1
• Date: Mon, 03 Feb 2025 13:10:15 GMT
• Title: A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems
• Authors: Valery Ugrinovskii, Shuixin Xiao,
• Abstract summary: The paper develops an improved method for the synthesis of transfer functions for such equalizing filters. The proposed method applies to a broader class of linear quantum communication channels.
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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., nonquantum) 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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