{"paper":{"title":"Generalized Teleportation Fidelity and Singlet Fraction and their Relation for (In)-distinguishable Particles and Its Applications","arxiv_id":"2412.16992","primary_cat":"quant-ph","submitted_at":"2024-12-22T12:20:38+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-1.13.0 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":false,"role":"background","text":"Quantum teleportation efficiently transfers quantum information between distant locations by utilizing a pre-established composite system.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.04,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.03,"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}},{"i":1,"p":1.0,"id":"s1","own":false,"role":"background","text":"Assessing the effectiveness of teleportation hinges on its fidelity, representing the similarity between input and output states.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.05,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.05,"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}},{"i":2,"p":1.0,"id":"s2","own":false,"role":"background","text":"This fidelity, in turn, relies on a singlet fraction, quantifying the resemblance of the composite system to maximally entangled states.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.06,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.05,"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}},{"i":3,"p":0.99,"id":"s3","own":false,"role":"background","text":"The relation between teleportation fidelity and singlet fraction given by [Horodecki \\textit{et al}., Phy.","hedge":{"p":0.61,"label":"asserted"},"own_p":0.04,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.01,"method":0.0,"result":0.0,"background":0.99,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":4,"p":0.91,"id":"s4","own":false,"role":"gap","text":"Rev. A \\textbf{60}, 1888 (1999)] does not hold for distinguishable particles with multiple degrees of freedom or indistinguishable particles with single or multiple degrees of freedom.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.2,"main_claim_p":0.19,"quantitative":false,"quantitative_p":0.18,"role_probabilities":{"gap":0.91,"method":0.0,"result":0.02,"background":0.07,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":5,"p":1.0,"id":"s5","own":true,"role":"contribution","text":"In this paper, we propose generalized expressions for teleportation fidelity and singlet fraction and derive their relations, applicable for both distinguishable and indistinguishable particles with single or multiple degrees of freedom.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.75,"quantitative":false,"quantitative_p":0.11,"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":6,"p":0.52,"id":"s6","own":true,"role":"contribution","text":"We derive an upper bound for the generalized singlet fraction for distinguishable particles using the monogamy of singlet fraction by [Kay \\textit{et al.} Phys. Rev. Lett. \\textbf{103}, 050501 (2009)].","hedge":{"p":1.0,"label":"asserted"},"own_p":0.9,"main_claim_p":0.06,"quantitative":true,"quantitative_p":0.86,"role_probabilities":{"gap":0.0,"method":0.07,"result":0.41,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.52,"interpretation":0.0}},{"i":7,"p":0.57,"id":"s7","own":true,"role":"contribution","text":"We also show how our relation helps to characterize different types of composite states in terms of their distinguishability, separability, presence of maximally entangled structure, and the number of degrees of freedom.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.15,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.13,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.57,"interpretation":0.3}},{"i":8,"p":0.71,"id":"s8","own":true,"role":"contribution","text":"We complement our theory with two practical illustrations.","hedge":{"p":0.94,"label":"asserted"},"own_p":0.83,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.27,"role_probabilities":{"gap":0.0,"method":0.29,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.71,"interpretation":0.0}},{"i":9,"p":0.46,"id":"s9","own":true,"role":"result","text":"First, we demonstrate two counter-intuitive values of generalized singlet fraction using our optical circuit and the circuit of [Li \\textit{et al.}, Phys. Rev. Lett. \\textbf{120}, 050404 (2018)].","hedge":{"p":1.0,"label":"asserted"},"own_p":0.84,"main_claim_p":0.05,"quantitative":true,"quantitative_p":0.58,"role_probabilities":{"gap":0.0,"method":0.18,"result":0.46,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.36,"interpretation":0.0}},{"i":10,"p":0.79,"id":"s10","own":true,"role":"result","text":"Finally, we show that using an additional degree of freedom as an ancilla instead of a particle can be advantageous in quantum cryptographic protocols.","hedge":{"p":0.9,"label":"asserted"},"own_p":0.92,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.2,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.79,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.18,"interpretation":0.03}}]},"compiled":{"main_claim":{"p":0.96,"text":"In this paper, we propose generalized expressions for teleportation fidelity and singlet fraction and derive their relations, applicable for both distinguishable and indistinguishable particles with single or multiple degrees of freedom.","location":"abstract s5","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":8488,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.07,"states_limitation":0.14,"human_participants":0.02,"controlled_comparison":0.14,"randomized_assignment":0.01,"states_quantitative_result":0.27,"compares_with_prior_results":0.94,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":1.0,"value":"proof or derivation","probabilities":{"argument":0.0,"literature":0.0,"proof_or_derivation":1.0,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.0}},"contribution_type":{"p":1.0,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.0,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":1.0,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":1.0,"text":"In this paper, we propose generalized expressions for teleportation fidelity and singlet fraction and derive their relations, applicable for both distinguishable and indistinguishable particles with single or multiple degrees of freedom.","location":"abstract s5"}},"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":11,"sentences_in_abstract":11},"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}}