A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems
For researchers in quantum communication, this method addresses a known bottleneck in equalizer design for linear quantum systems, but the improvement is incremental.
The paper develops an improved method for synthesizing coherent equalizers for linear quantum systems, extending applicability to a broader class of quantum communication channels compared to previous methods.
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.