A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909008573497344 |
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| author | Ugrinovskii, Valery Xiao, Shuixin |
| author_facet | Ugrinovskii, Valery Xiao, Shuixin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01332 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems Ugrinovskii, Valery Xiao, Shuixin Quantum Physics Systems and Control Optimization and Control 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. |
| title | A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems |
| topic | Quantum Physics Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2502.01332 |