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This research advances the synthesis of coherent passive equalizers for linear quantum systems by leveraging a connection to classical ${H}_{\infty}$ control theory. The proposed method offers a broader applicability to linear quantum communication channels compared to prior approaches, improving the design of near-optimal filters.

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

arXivJune 9, 20261 min read

arXiv:2502.01332v3 Announce Type: replace 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.

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.

Quantum Physics (quant-ph); Systems and Control (eess.SY); Optimization and Control (math.OC)

arXiv:2502.01332 [quant-ph]

(or arXiv:2502.01332v3 [quant-ph] for this version)

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