{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JZFK6VJY5POVKJJJ3AHWOWXMXL","short_pith_number":"pith:JZFK6VJY","schema_version":"1.0","canonical_sha256":"4e4aaf5538ebdd552529d80f675aecbacb105b867ffa17e513a36fd3562e4b21","source":{"kind":"arxiv","id":"1508.03191","version":1},"attestation_state":"computed","paper":{"title":"Exponential Sensitivity and its Cost in Quantum Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Andr\\'as Gily\\'en, Igor Jex, Tam\\'as Kiss","submitted_at":"2015-08-13T12:16:51Z","abstract_excerpt":"State selective protocols, like entanglement purification, lead to an essentially non-linear quantum evolution, unusual in naturally occurring quantum processes. Sensitivity to initial states in quantum systems, stemming from such non-linear dynamics, is a promising perspective for applications. Here we demonstrate that chaotic behaviour is a rather generic feature in state selective protocols: exponential sensitivity can exist for all initial states in an experimentally realisable optical scheme. Moreover, any complex rational polynomial map, including the example of the Mandelbrot set, can b"},"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":false},"canonical_record":{"source":{"id":"1508.03191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-13T12:16:51Z","cross_cats_sorted":["math.DS","nlin.CD"],"title_canon_sha256":"57ec052e679c93b60c040a54b0025aa28157fd37c8874cd243855689f4c37948","abstract_canon_sha256":"7ee8a6489b8b83aaf16badb4db6ec9b58a3a71ee0ece3e19a90d8b08a0e6972e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:19.198097Z","signature_b64":"McSctO5tZ9hDz+bRKYZBxHx1OEOO8AaRM5uJuVGFd8ttwkUay14L1SYXwWwVEbYqQzrgWJCRVu5FIkiQsVcmAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e4aaf5538ebdd552529d80f675aecbacb105b867ffa17e513a36fd3562e4b21","last_reissued_at":"2026-05-18T01:19:19.197729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:19.197729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exponential Sensitivity and its Cost in Quantum Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Andr\\'as Gily\\'en, Igor Jex, Tam\\'as Kiss","submitted_at":"2015-08-13T12:16:51Z","abstract_excerpt":"State selective protocols, like entanglement purification, lead to an essentially non-linear quantum evolution, unusual in naturally occurring quantum processes. Sensitivity to initial states in quantum systems, stemming from such non-linear dynamics, is a promising perspective for applications. Here we demonstrate that chaotic behaviour is a rather generic feature in state selective protocols: exponential sensitivity can exist for all initial states in an experimentally realisable optical scheme. Moreover, any complex rational polynomial map, including the example of the Mandelbrot set, can b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03191","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"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":"1508.03191","created_at":"2026-05-18T01:19:19.197785+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.03191v1","created_at":"2026-05-18T01:19:19.197785+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.03191","created_at":"2026-05-18T01:19:19.197785+00:00"},{"alias_kind":"pith_short_12","alias_value":"JZFK6VJY5POV","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JZFK6VJY5POVKJJJ","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JZFK6VJY","created_at":"2026-05-18T12:29:27.538025+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JZFK6VJY5POVKJJJ3AHWOWXMXL","json":"https://pith.science/pith/JZFK6VJY5POVKJJJ3AHWOWXMXL.json","graph_json":"https://pith.science/api/pith-number/JZFK6VJY5POVKJJJ3AHWOWXMXL/graph.json","events_json":"https://pith.science/api/pith-number/JZFK6VJY5POVKJJJ3AHWOWXMXL/events.json","paper":"https://pith.science/paper/JZFK6VJY"},"agent_actions":{"view_html":"https://pith.science/pith/JZFK6VJY5POVKJJJ3AHWOWXMXL","download_json":"https://pith.science/pith/JZFK6VJY5POVKJJJ3AHWOWXMXL.json","view_paper":"https://pith.science/paper/JZFK6VJY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.03191&json=true","fetch_graph":"https://pith.science/api/pith-number/JZFK6VJY5POVKJJJ3AHWOWXMXL/graph.json","fetch_events":"https://pith.science/api/pith-number/JZFK6VJY5POVKJJJ3AHWOWXMXL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JZFK6VJY5POVKJJJ3AHWOWXMXL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JZFK6VJY5POVKJJJ3AHWOWXMXL/action/storage_attestation","attest_author":"https://pith.science/pith/JZFK6VJY5POVKJJJ3AHWOWXMXL/action/author_attestation","sign_citation":"https://pith.science/pith/JZFK6VJY5POVKJJJ3AHWOWXMXL/action/citation_signature","submit_replication":"https://pith.science/pith/JZFK6VJY5POVKJJJ3AHWOWXMXL/action/replication_record"}},"created_at":"2026-05-18T01:19:19.197785+00:00","updated_at":"2026-05-18T01:19:19.197785+00:00"}