{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:Y5BXJMMS4SCXNANXIM3SPHNEIN","short_pith_number":"pith:Y5BXJMMS","schema_version":"1.0","canonical_sha256":"c74374b192e4857681b74337279da4437928f0eb9ac81586dfdab4164888bdf9","source":{"kind":"arxiv","id":"2605.08771","version":2},"attestation_state":"computed","paper":{"title":"To Purify or Not to Purify: Entanglement Purification under Input Fidelity Asymmetry in Quantum Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Purification of entangled pairs is beneficial only when their fidelity asymmetry stays below a derived threshold","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Amy Babay, Anoosha Fayyaz, David Tipper, Kaushik Seshadreesan, Prashant Krishnamurthy","submitted_at":"2026-05-09T07:58:03Z","abstract_excerpt":"Entanglement purification with two entangled resource pairs is widely employed in the literature on quantum repeater networks to counteract fidelity degradation introduced by noisy quantum memories and entanglement swapping across multiple hops. Standard purification protocols assume both resource pairs carry identical fidelity. In practice, entanglement generation is stochastic, the two resource pairs are heralded at different times, and so the first pair decoheres in memory while the second is being generated. Thus a fidelity asymmetry is a structural feature of any network operating under r"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":true},"canonical_record":{"source":{"id":"2605.08771","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-09T07:58:03Z","cross_cats_sorted":[],"title_canon_sha256":"30c59aa00b3877282cb729e272c4b961c38d8a951dde924ab1f96169d192446f","abstract_canon_sha256":"a8c7353f00337f83d575c79e97d662b138822d9471d40e96ff7597df1a19dd32"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T00:24:38.784347Z","signature_b64":"sANtk/oJK8hsQxaA40DWiJ2ql//MT4FjnK9ccC1H33zHeVExessAvj9YCwDAGcqDAYSkmYHlPZIQmlCnARorBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c74374b192e4857681b74337279da4437928f0eb9ac81586dfdab4164888bdf9","last_reissued_at":"2026-07-29T00:24:38.783439Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T00:24:38.783439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"To Purify or Not to Purify: Entanglement Purification under Input Fidelity Asymmetry in Quantum Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Purification of entangled pairs is beneficial only when their fidelity asymmetry stays below a derived threshold","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Amy Babay, Anoosha Fayyaz, David Tipper, Kaushik Seshadreesan, Prashant Krishnamurthy","submitted_at":"2026-05-09T07:58:03Z","abstract_excerpt":"Entanglement purification with two entangled resource pairs is widely employed in the literature on quantum repeater networks to counteract fidelity degradation introduced by noisy quantum memories and entanglement swapping across multiple hops. Standard purification protocols assume both resource pairs carry identical fidelity. In practice, entanglement generation is stochastic, the two resource pairs are heralded at different times, and so the first pair decoheres in memory while the second is being generated. Thus a fidelity asymmetry is a structural feature of any network operating under r"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We derive a closed-form fidelity asymmetry tolerance delta(F) that governs whether a purification attempt is beneficial. We determine a universal upper bound delta_max of approximately 0.076 beyond which purification is always counterproductive.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The model assumes sequential generation of the two resource pairs with exponential memory decoherence and that the fidelity after swapping and purification follows the standard bilinear formula without additional noise sources.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A fidelity asymmetry tolerance of roughly 0.076 marks the point beyond which entanglement purification becomes counterproductive in quantum networks, and conditioning purification decisions on measured asymmetry improves end-to-end performance.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Purification of entangled pairs is beneficial only when their fidelity asymmetry stays below a derived threshold","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"39d328a735b6339d6de3b0692aeec7e24a5bb39b441d917fdc617ea9445f0fea"},"source":{"id":"2605.08771","kind":"arxiv","version":2},"verdict":{"id":"c99ddda8-ff93-486f-9e72-ed7dbf88d494","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-12T02:06:37.084370Z","strongest_claim":"We derive a closed-form fidelity asymmetry tolerance delta(F) that governs whether a purification attempt is beneficial. We determine a universal upper bound delta_max of approximately 0.076 beyond which purification is always counterproductive.","one_line_summary":"A fidelity asymmetry tolerance of roughly 0.076 marks the point beyond which entanglement purification becomes counterproductive in quantum networks, and conditioning purification decisions on measured asymmetry improves end-to-end performance.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The model assumes sequential generation of the two resource pairs with exponential memory decoherence and that the fidelity after swapping and purification follows the standard bilinear formula without additional noise sources.","pith_extraction_headline":"Purification of entangled pairs is beneficial only when their fidelity asymmetry stays below a derived threshold"},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.08771/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T09:02:01.909368Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T22:34:47.784480Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T14:01:22.157787Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T10:49:36.614190Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"8d3222c0300fa8f9125ffd29466b9a6de66df24e58d89612cb02f0df3644b95d"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"d02ee55cd19700c2899fb9202d8fb9426e6127f96d8ab2cf3301de6ee254227d"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.08771","created_at":"2026-07-29T00:24:38.783869+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.08771v2","created_at":"2026-07-29T00:24:38.783869+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.08771","created_at":"2026-07-29T00:24:38.783869+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y5BXJMMS4SCX","created_at":"2026-07-29T00:24:38.783869+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y5BXJMMS4SCXNANX","created_at":"2026-07-29T00:24:38.783869+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y5BXJMMS","created_at":"2026-07-29T00:24:38.783869+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y5BXJMMS4SCXNANXIM3SPHNEIN","json":"https://pith.science/pith/Y5BXJMMS4SCXNANXIM3SPHNEIN.json","graph_json":"https://pith.science/api/pith-number/Y5BXJMMS4SCXNANXIM3SPHNEIN/graph.json","events_json":"https://pith.science/api/pith-number/Y5BXJMMS4SCXNANXIM3SPHNEIN/events.json","paper":"https://pith.science/paper/Y5BXJMMS"},"agent_actions":{"view_html":"https://pith.science/pith/Y5BXJMMS4SCXNANXIM3SPHNEIN","download_json":"https://pith.science/pith/Y5BXJMMS4SCXNANXIM3SPHNEIN.json","view_paper":"https://pith.science/paper/Y5BXJMMS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.08771&json=true","fetch_graph":"https://pith.science/api/pith-number/Y5BXJMMS4SCXNANXIM3SPHNEIN/graph.json","fetch_events":"https://pith.science/api/pith-number/Y5BXJMMS4SCXNANXIM3SPHNEIN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y5BXJMMS4SCXNANXIM3SPHNEIN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y5BXJMMS4SCXNANXIM3SPHNEIN/action/storage_attestation","attest_author":"https://pith.science/pith/Y5BXJMMS4SCXNANXIM3SPHNEIN/action/author_attestation","sign_citation":"https://pith.science/pith/Y5BXJMMS4SCXNANXIM3SPHNEIN/action/citation_signature","submit_replication":"https://pith.science/pith/Y5BXJMMS4SCXNANXIM3SPHNEIN/action/replication_record"}},"created_at":"2026-07-29T00:24:38.783869+00:00","updated_at":"2026-07-29T00:24:38.783869+00:00"}