{"paper":{"title":"Symmetry boosts quantum computer performance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"R. Bl\\\"umel, Y. S. Nam","submitted_at":"2016-01-27T18:56:10Z","abstract_excerpt":"Frequently, subroutines in quantum computers have the structure $\\mathcal{F}\\mathcal{U}\\mathcal{F}^{-1}$, where $\\mathcal{F}$ is some unitary transform and $\\mathcal{U}$ is performing a quantum computation. In this paper we suggest that if, in analogy to spin echoes, $\\mathcal{F}$ and $\\mathcal{F}^{-1}$ can be implemented symmetrically such that $\\mathcal{F}$ and $\\mathcal{F}^{-1}$ have the same hardware errors, a symmetry boost in the fidelity of the combined $\\mathcal{F}\\mathcal{U}\\mathcal{F}^{-1}$ quantum operation results. Running the complete gate--by--gate implemented Shor algorithm, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07497","kind":"arxiv","version":2},"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"}