{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:J253JDHOIE6U7XQ263XU2ENSWM","short_pith_number":"pith:J253JDHO","schema_version":"1.0","canonical_sha256":"4ebbb48cee413d4fde1af6ef4d11b2b31a3b69e9ac1ddb378e463eb24233823a","source":{"kind":"arxiv","id":"1709.10294","version":1},"attestation_state":"computed","paper":{"title":"Majorization uncertainty relations for mixed quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aleksandra Krawiec, Karol \\.Zyczkowski, {\\L}ukasz Rudnicki, Zbigniew Pucha{\\l}a","submitted_at":"2017-09-29T09:11:26Z","abstract_excerpt":"Majorization uncertainty relations are generalized for an arbitrary mixed quantum state $\\rho$ of a finite size $N$. In particular, a lower bound for the sum of two entropies characterizing probability distributions corresponding to measurements with respect to arbitrary two orthogonal bases is derived in terms of the spectrum of $\\rho$ and the entries of a unitary matrix $U$ relating both bases. The obtained results can also be formulated for two measurements performed on a single subsystem of a bipartite system described by a pure state, and consequently expressed as uncertainty relation for"},"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":"1709.10294","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-09-29T09:11:26Z","cross_cats_sorted":[],"title_canon_sha256":"a30bf0eead378a8a452e36a447aa41f140ca6f95131cb4c8fb602f742cd85d3e","abstract_canon_sha256":"557b0557be92a6879fe8914dd00d0aadc20e39d741e775f43a5944367ec5f13d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:31.502797Z","signature_b64":"s+bFEMtY0RF0SACwHLMoRbgKIpHHpT2C+9aUJzTe/XSrfxwxwFD+kWQ72tcXX+irWvL3xB2FCaGR/tOxftLQBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ebbb48cee413d4fde1af6ef4d11b2b31a3b69e9ac1ddb378e463eb24233823a","last_reissued_at":"2026-05-18T00:18:31.502324Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:31.502324Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Majorization uncertainty relations for mixed quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aleksandra Krawiec, Karol \\.Zyczkowski, {\\L}ukasz Rudnicki, Zbigniew Pucha{\\l}a","submitted_at":"2017-09-29T09:11:26Z","abstract_excerpt":"Majorization uncertainty relations are generalized for an arbitrary mixed quantum state $\\rho$ of a finite size $N$. In particular, a lower bound for the sum of two entropies characterizing probability distributions corresponding to measurements with respect to arbitrary two orthogonal bases is derived in terms of the spectrum of $\\rho$ and the entries of a unitary matrix $U$ relating both bases. The obtained results can also be formulated for two measurements performed on a single subsystem of a bipartite system described by a pure state, and consequently expressed as uncertainty relation for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10294","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":"1709.10294","created_at":"2026-05-18T00:18:31.502390+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.10294v1","created_at":"2026-05-18T00:18:31.502390+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10294","created_at":"2026-05-18T00:18:31.502390+00:00"},{"alias_kind":"pith_short_12","alias_value":"J253JDHOIE6U","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"J253JDHOIE6U7XQ2","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"J253JDHO","created_at":"2026-05-18T12:31:21.493067+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/J253JDHOIE6U7XQ263XU2ENSWM","json":"https://pith.science/pith/J253JDHOIE6U7XQ263XU2ENSWM.json","graph_json":"https://pith.science/api/pith-number/J253JDHOIE6U7XQ263XU2ENSWM/graph.json","events_json":"https://pith.science/api/pith-number/J253JDHOIE6U7XQ263XU2ENSWM/events.json","paper":"https://pith.science/paper/J253JDHO"},"agent_actions":{"view_html":"https://pith.science/pith/J253JDHOIE6U7XQ263XU2ENSWM","download_json":"https://pith.science/pith/J253JDHOIE6U7XQ263XU2ENSWM.json","view_paper":"https://pith.science/paper/J253JDHO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.10294&json=true","fetch_graph":"https://pith.science/api/pith-number/J253JDHOIE6U7XQ263XU2ENSWM/graph.json","fetch_events":"https://pith.science/api/pith-number/J253JDHOIE6U7XQ263XU2ENSWM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J253JDHOIE6U7XQ263XU2ENSWM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J253JDHOIE6U7XQ263XU2ENSWM/action/storage_attestation","attest_author":"https://pith.science/pith/J253JDHOIE6U7XQ263XU2ENSWM/action/author_attestation","sign_citation":"https://pith.science/pith/J253JDHOIE6U7XQ263XU2ENSWM/action/citation_signature","submit_replication":"https://pith.science/pith/J253JDHOIE6U7XQ263XU2ENSWM/action/replication_record"}},"created_at":"2026-05-18T00:18:31.502390+00:00","updated_at":"2026-05-18T00:18:31.502390+00:00"}