{"paper":{"title":"Linear-Depth Quantum Circuits for n-qubit Toffoli gates with no Ancilla","arxiv_id":"1303.3557","primary_cat":"quant-ph","submitted_at":"2013-03-14T19:11:46+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":1.0,"id":"s0","own":true,"role":"contribution","text":"We design a circuit structure with linear depth to implement an $n$-qubit Toffoli gate.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.74,"quantitative":false,"quantitative_p":0.47,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":1.0,"interpretation":0.0}},{"i":1,"p":0.69,"id":"s1","own":true,"role":"method","text":"The proposed construction uses a quadratic-size circuit consists of elementary 2-qubit controlled-rotation gates around the x axis and uses no ancilla qubit.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.48,"quantitative":true,"quantitative_p":0.79,"role_probabilities":{"gap":0.0,"method":0.69,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.3,"interpretation":0.0}},{"i":2,"p":0.45,"id":"s2","own":false,"role":"interpretation","text":"Circuit depth remains linear in quantum technologies with finite-distance interactions between qubits.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.23,"main_claim_p":0.18,"quantitative":true,"quantitative_p":0.65,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.39,"background":0.09,"limitation":0.01,"future_work":0.0,"contribution":0.06,"interpretation":0.45}},{"i":3,"p":1.0,"id":"s3","own":false,"role":"background","text":"The suggested construction is related to the long-standing construction by Barenco et al. (Phys. Rev. A, 52: 3457-3467, 1995, arXiv:quant-ph/9503016), which uses a quadratic-size, quadratic-depth quantum circuit for an $n$-qubit Toffoli gate.","hedge":{"p":0.96,"label":"asserted"},"own_p":0.08,"main_claim_p":0.07,"quantitative":true,"quantitative_p":0.85,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.98,"text":"We design a circuit structure with linear depth to implement an $n$-qubit Toffoli gate.","location":"abstract s0","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":3691,"cost_usd_reported":0.000155},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13-20260917","abstract_states":{"claims_first":0.06,"states_limitation":0.28,"human_participants":0.02,"controlled_comparison":0.26,"randomized_assignment":0.01,"states_quantitative_result":0.77,"compares_with_prior_results":0.97,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.8,"value":"proof or derivation","probabilities":{"argument":0.13,"literature":0.07,"proof_or_derivation":0.8,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.0}},"contribution_type":{"p":0.95,"value":"method or tool","probabilities":{"review":0.0,"method_or_tool":0.95,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":0.05,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.97,"text":"We design a circuit structure with linear depth to implement an $n$-qubit Toffoli gate.","location":"abstract s0"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v1"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":4,"sentences_in_abstract":4},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; the figure is how often the published label matches their consensus","sentence_role_agreement":0.92,"main_claim_agreement":0.908,"typed_citation_agreement":0.933,"typed_citation_agreement_95_interval":[0.917,0.945],"review_comments_accurate":0.758,"review_comments_accurate_95_interval":[0.684,0.82],"review_caught_admitted_error_found_or_related":0.448}}