{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:ABKAMLYAOSP6JOKD3J7PAQEZHC","short_pith_number":"pith:ABKAMLYA","schema_version":"1.0","canonical_sha256":"0054062f00749fe4b943da7ef040993895d76cbc84f6fcb56e88ba33c83a162e","source":{"kind":"arxiv","id":"1112.1027","version":1},"attestation_state":"computed","paper":{"title":"The power of random measurements: measuring Tr(\\rho^n) on single copies of \\rho","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"C. W. J. Beenakker, S. J. van Enk","submitted_at":"2011-12-05T19:11:53Z","abstract_excerpt":"While it is known that Tr(\\rho^n) can be measured directly (i.e., without first reconstructing the density matrix) by performing joint measurements on n copies of the same state rho, it is shown here that random measurements on single copies suffice, too. Averaging over the random measurements directly yields estimates of Tr(\\rho^n), even when it is not known what measurements were actually performed (so that one cannot reconstruct \\rho)."},"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":"1112.1027","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-05T19:11:53Z","cross_cats_sorted":[],"title_canon_sha256":"b98d64cd5c649cc110032d0ec8a6b6f91b0b3f083c76fda729232163bdc338a8","abstract_canon_sha256":"2217b88bb40be251c4164e8590269ea13b27673d5d894d0ec82c50992e7d9fb0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:49.213420Z","signature_b64":"HZeAcaoPmjTBIH8MVyRUqjkXvbX9WpcdoVnGxTrMSVb7GJjsf2M0fusksMlGiV7zGztQjgcn0OU6r8v08rQxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0054062f00749fe4b943da7ef040993895d76cbc84f6fcb56e88ba33c83a162e","last_reissued_at":"2026-05-18T03:59:49.212860Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:49.212860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The power of random measurements: measuring Tr(\\rho^n) on single copies of \\rho","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"C. W. J. Beenakker, S. J. van Enk","submitted_at":"2011-12-05T19:11:53Z","abstract_excerpt":"While it is known that Tr(\\rho^n) can be measured directly (i.e., without first reconstructing the density matrix) by performing joint measurements on n copies of the same state rho, it is shown here that random measurements on single copies suffice, too. Averaging over the random measurements directly yields estimates of Tr(\\rho^n), even when it is not known what measurements were actually performed (so that one cannot reconstruct \\rho)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1027","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":"1112.1027","created_at":"2026-05-18T03:59:49.212944+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.1027v1","created_at":"2026-05-18T03:59:49.212944+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1027","created_at":"2026-05-18T03:59:49.212944+00:00"},{"alias_kind":"pith_short_12","alias_value":"ABKAMLYAOSP6","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"ABKAMLYAOSP6JOKD","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"ABKAMLYA","created_at":"2026-05-18T12:26:24.575870+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.02097","citing_title":"Separability from Multipartite Measures","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05479","citing_title":"Quantum Simulation of the Real-time Dynamics in the multi-flavor Gross-Neveu Model at the utility scale using Superconducting Quantum Computers","ref_index":53,"is_internal_anchor":false},{"citing_arxiv_id":"2605.02097","citing_title":"Separability from Multipartite Measures","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ABKAMLYAOSP6JOKD3J7PAQEZHC","json":"https://pith.science/pith/ABKAMLYAOSP6JOKD3J7PAQEZHC.json","graph_json":"https://pith.science/api/pith-number/ABKAMLYAOSP6JOKD3J7PAQEZHC/graph.json","events_json":"https://pith.science/api/pith-number/ABKAMLYAOSP6JOKD3J7PAQEZHC/events.json","paper":"https://pith.science/paper/ABKAMLYA"},"agent_actions":{"view_html":"https://pith.science/pith/ABKAMLYAOSP6JOKD3J7PAQEZHC","download_json":"https://pith.science/pith/ABKAMLYAOSP6JOKD3J7PAQEZHC.json","view_paper":"https://pith.science/paper/ABKAMLYA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.1027&json=true","fetch_graph":"https://pith.science/api/pith-number/ABKAMLYAOSP6JOKD3J7PAQEZHC/graph.json","fetch_events":"https://pith.science/api/pith-number/ABKAMLYAOSP6JOKD3J7PAQEZHC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ABKAMLYAOSP6JOKD3J7PAQEZHC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ABKAMLYAOSP6JOKD3J7PAQEZHC/action/storage_attestation","attest_author":"https://pith.science/pith/ABKAMLYAOSP6JOKD3J7PAQEZHC/action/author_attestation","sign_citation":"https://pith.science/pith/ABKAMLYAOSP6JOKD3J7PAQEZHC/action/citation_signature","submit_replication":"https://pith.science/pith/ABKAMLYAOSP6JOKD3J7PAQEZHC/action/replication_record"}},"created_at":"2026-05-18T03:59:49.212944+00:00","updated_at":"2026-05-18T03:59:49.212944+00:00"}