{"paper":{"title":"Experimental realization of quantum algorithm for solving linear systems of equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Chenyong Ju, Jiangfeng Du, Jian Pan, Sabre Kais, Xinhua Peng, Xiwei Yao, Yudong Cao, Zhaokai Li","submitted_at":"2013-02-08T05:13:07Z","abstract_excerpt":"Quantum computers have the potential of solving certain problems exponentially faster than classical computers. Recently, Harrow, Hassidim and Lloyd proposed a quantum algorithm for solving linear systems of equations: given an $N\\times{N}$ matrix $A$ and a vector $\\vec b$, find the vector $\\vec x$ that satisfies $A\\vec x = \\vec b$. It has been shown that using the algorithm one could obtain the solution encoded in a quantum state $|x$ using $O(\\log{N})$ quantum operations, while classical algorithms require at least O(N) steps. If one is not interested in the solution $\\vec{x}$ itself but cer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1946","kind":"arxiv","version":1},"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"}