{"paper":{"title":"Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on the maximum overlap problem using directional iterates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Jon Tyson","submitted_at":"2009-07-20T19:43:59Z","abstract_excerpt":"In a unified framework, we obtain two-sided estimates of the following quantities of interest in quantum information theory:\n  1.The minimum-error distinguishability of arbitrary ensembles of mixed quantum states.\n  2.The approximate reversibility of quantum dynamics in terms of entanglement fidelity. (This is also referred to as \"channel-adapted quantum error recovery\" when the reversed channel is the composition of an encoding operation and a noise channel.)\n  3.The maximum overlap between a bipartite pure quantum state and a bipartite mixed state that may be achieved by applying a local qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3386","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}