{"paper":{"title":"A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Linking the coherent equalization problem to the classical two-disk H∞ control problem allows synthesis of passive equalizers for a broader class of linear quantum communication channels.","cross_cats":["cs.SY","eess.SY","math.OC"],"primary_cat":"quant-ph","authors_text":"Shuixin Xiao, Valery Ugrinovskii","submitted_at":"2025-02-03T13:10:15Z","abstract_excerpt":"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."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The proposed method applies to a broader class of linear quantum communication channels compared with the previous methods.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The two-disk problem formulation from classical H∞ control for uncertain linear systems can be transferred to the quantum linear system model without introducing quantum-specific corrections or additional constraints.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Connects coherent equalization for linear quantum systems to the classical two-disk H∞ problem to handle a broader class of channels.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Linking the coherent equalization problem to the classical two-disk H∞ control problem allows synthesis of passive equalizers for a broader class of linear quantum communication channels.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"10f6808bd5df80a02fedd4b763b050252707d687fa33f7ffd235733603ba0a9c"},"source":{"id":"2502.01332","kind":"arxiv","version":3},"verdict":{"id":"fcb47aa9-513a-4ff7-b64f-9ace8fb23bf4","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-23T03:33:47.673447Z","strongest_claim":"The proposed method applies to a broader class of linear quantum communication channels compared with the previous methods.","one_line_summary":"Connects coherent equalization for linear quantum systems to the classical two-disk H∞ problem to handle a broader class of channels.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The two-disk problem formulation from classical H∞ control for uncertain linear systems can be transferred to the quantum linear system model without introducing quantum-specific corrections or additional constraints.","pith_extraction_headline":"Linking the coherent equalization problem to the classical two-disk H∞ control problem allows synthesis of passive equalizers for a broader class of linear quantum communication channels."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.01332/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}