{"work":{"id":"457eec2f-7014-4b79-8abc-972ca655d561","openalex_id":null,"doi":null,"arxiv_id":"quant-ph/9709029","raw_key":null,"title":"Entanglement of Formation of an Arbitrary State of Two Qubits","authors":null,"authors_text":"W","year":1997,"venue":"quant-ph","abstract":"The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state is defined as the minimum average entanglement of an ensemble of pure states that represents the given mixed state. An earlier paper [Phys. Rev. Lett. 78, 5022 (1997)] conjectured an explicit formula for the entanglement of formation of a pair of binary quantum objects (qubits) as a function of their density matrix, and proved the formula to be true for a special class of mixed states. The present paper extends the proof to arbitrary states of this system and shows how to construct entanglement-minimizing pure-state decompositions.","external_url":"https://arxiv.org/abs/quant-ph/9709029","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-25T18:51:09.055785+00:00","pith_arxiv_id":"quant-ph/9709029","created_at":"2026-05-09T06:00:36.409439+00:00","updated_at":"2026-05-25T18:51:09.055785+00:00","title_quality_ok":true,"display_title":"Wootters,Entanglement of formation of an arbitrary state of two qubits, Phys","render_title":"Wootters,Entanglement of formation of an arbitrary state of two qubits, Phys"},"hub":{"state":{"work_id":"457eec2f-7014-4b79-8abc-972ca655d561","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":15,"external_cited_by_count":null,"distinct_field_count":2,"first_pith_cited_at":"2019-06-21T18:00:01+00:00","last_pith_cited_at":"2026-05-20T03:27:00+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":"2026-05-27T13:47:42.087879+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":5},{"context_role":"method","n":1}],"polarity_counts":[{"context_polarity":"background","n":5},{"context_polarity":"use_method","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}