{"work":{"id":"4bdc35c8-afdb-4ecc-8b57-4ee731d44239","openalex_id":null,"doi":null,"arxiv_id":"cond-mat/0510613","raw_key":null,"title":"Detecting topological order in a ground state wave function","authors":null,"authors_text":"M","year":2005,"venue":"cond-mat.str-el","abstract":"A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized by a set of data (N, d_i, F^{ijk}_{lmn}, \\delta_{ijk}). We describe a way to detect this kind of topological order using only the ground state wave function. The method involves computing a quantity called the ``topological entropy'' which directly measures the quantum dimension D = \\sum_i d^2_i.","external_url":"https://arxiv.org/abs/cond-mat/0510613","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-24T19:44:53.725976+00:00","pith_arxiv_id":"cond-mat/0510613","created_at":"2026-05-09T06:40:39.736533+00:00","updated_at":"2026-05-24T19:44:53.725976+00:00","title_quality_ok":true,"display_title":"Detecting Topological Order in a Ground State Wave Function","render_title":"Detecting Topological Order in a Ground State Wave Function"},"hub":{"state":{"work_id":"4bdc35c8-afdb-4ecc-8b57-4ee731d44239","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":12,"external_cited_by_count":null,"distinct_field_count":3,"first_pith_cited_at":"2019-07-18T16:05:49+00:00","last_pith_cited_at":"2026-05-17T13:20:12+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-06-04T22:58:27.243843+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":4}],"polarity_counts":[{"context_polarity":"background","n":4}],"runs":{},"summary":{},"graph":{},"authors":[]}}