English

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

Quantum Physics 2026-05-05 v2 Systems and Control Systems and Control Optimization and Control

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{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.

Keywords

Cite

@article{arxiv.2502.01332,
  title  = {A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems},
  author = {Valery Ugrinovskii and Shuixin Xiao},
  journal= {arXiv preprint arXiv:2502.01332},
  year   = {2026}
}

Comments

20 pages, 9 figures