{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:NPJEHPW52YOPDKWF6Z4GI5WU65","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1aedc4fec4a71a6590636e67549091bce054d3bc4734d0cf5df5ecc6bdd6fab4","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-11-09T20:38:38Z","title_canon_sha256":"1a1328df5e1a1cedbd58757be6c4191ce3a9b99643ee32b535c529aa206fde32"},"schema_version":"1.0","source":{"id":"quant-ph/0411065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0411065","created_at":"2026-07-04T14:49:27Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0411065v1","created_at":"2026-07-04T14:49:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0411065","created_at":"2026-07-04T14:49:27Z"},{"alias_kind":"pith_short_12","alias_value":"NPJEHPW52YOP","created_at":"2026-07-04T14:49:27Z"},{"alias_kind":"pith_short_16","alias_value":"NPJEHPW52YOPDKWF","created_at":"2026-07-04T14:49:27Z"},{"alias_kind":"pith_short_8","alias_value":"NPJEHPW5","created_at":"2026-07-04T14:49:27Z"}],"graph_snapshots":[{"event_id":"sha256:61d62cfc4dea15ebbc3bc6a42fa8b7fd772e9587579adfb6c19d4ba69371c281","target":"graph","created_at":"2026-07-04T14:49:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0411065/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the concept of a quantum walk with two particles and study it for the case of a discrete time walk on a line. A quantum walk with more than one particle may contain entanglement, thus offering a resource unavailable in the classical scenario and which can present interesting advantages. In this work, we show how the entanglement and the relative phase between the states describing the coin degree of freedom of each particle will influence the evolution of the quantum walk. In particular, the probability to find at least one particle in a certain position after $N$ steps of the wal","authors_text":"L. Sheridan, N. Paunkovic, S. Bose, Y. Omar","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2004-11-09T20:38:38Z","title":"Quantum Walk on a Line with Two Entangled Particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0411065","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:78a6cc8c458c29110c7e98ca506461e3fb4a19c015369a1a8d0647db97da64b4","target":"record","created_at":"2026-07-04T14:49:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1aedc4fec4a71a6590636e67549091bce054d3bc4734d0cf5df5ecc6bdd6fab4","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-11-09T20:38:38Z","title_canon_sha256":"1a1328df5e1a1cedbd58757be6c4191ce3a9b99643ee32b535c529aa206fde32"},"schema_version":"1.0","source":{"id":"quant-ph/0411065","kind":"arxiv","version":1}},"canonical_sha256":"6bd243beddd61cf1aac5f6786476d4f75b1f3ad7c582caf9c74f6b419797b417","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bd243beddd61cf1aac5f6786476d4f75b1f3ad7c582caf9c74f6b419797b417","first_computed_at":"2026-07-04T14:49:27.781301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:49:27.781301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QaQ2derRGoPDAINI9VMmLSrPzE7n28EeQhhVjIXP4Mx943XvVXDHB1+jIucxuLEy4rLBvaVwh48ZfuEtYkUzBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:49:27.781700Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0411065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78a6cc8c458c29110c7e98ca506461e3fb4a19c015369a1a8d0647db97da64b4","sha256:61d62cfc4dea15ebbc3bc6a42fa8b7fd772e9587579adfb6c19d4ba69371c281"],"state_sha256":"478149f054c5c84e20fd4ff2248ef8797ae0c79a0b03c56ed005558c6c754905"}