{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QN6C75AOD3XS36JCXV7FNABYRO","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":"43083bb05a4104dd2828bcb92e42d87fac51ee93060f59684daaa304c31a43fc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-19T01:57:22Z","title_canon_sha256":"e98f4ce287e15b9542b6345d7c00527a0bb5bda7bf6773ae29a8dc726a669c92"},"schema_version":"1.0","source":{"id":"1303.4467","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4467","created_at":"2026-05-18T03:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4467v4","created_at":"2026-05-18T03:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4467","created_at":"2026-05-18T03:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"QN6C75AOD3XS","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QN6C75AOD3XS36JC","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QN6C75AO","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:623af2af8d818fe59cbf8d15294b93c9ac9182f5f0fa2ca0ca5b8c48611cbd7e","target":"graph","created_at":"2026-05-18T03:00:14Z","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"},"paper":{"abstract_excerpt":"We formulate uncertainty relations for mutually unbiased bases and symmetric informationally complete measurements in terms of the R\\'{e}nyi and Tsallis entropies. For arbitrary number of mutually unbiased bases in a finite-dimensional Hilbert space, we give a family of Tsallis $\\alpha$-entropic bounds for $\\alpha\\in(0;2]$. Relations in a model of detection inefficiences are obtained. In terms of R\\'{e}nyi's entropies, lower bounds are given for $\\alpha\\in[2;\\infty)$. State-dependent and state-independent forms of such bounds are both given. Uncertainty relations in terms of the min-entropy ar","authors_text":"Alexey E. Rastegin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-19T01:57:22Z","title":"Uncertainty relations for MUBs and SIC-POVMs in terms of generalized entropies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4467","kind":"arxiv","version":4},"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":"sha256:4ce803573cbe060b5e1d9b7a0daff57a0aa467949a5547cb4055a05f1db3f155","target":"record","created_at":"2026-05-18T03:00:14Z","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":"43083bb05a4104dd2828bcb92e42d87fac51ee93060f59684daaa304c31a43fc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-19T01:57:22Z","title_canon_sha256":"e98f4ce287e15b9542b6345d7c00527a0bb5bda7bf6773ae29a8dc726a669c92"},"schema_version":"1.0","source":{"id":"1303.4467","kind":"arxiv","version":4}},"canonical_sha256":"837c2ff40e1eef2df922bd7e5680388b800ecbeb1b477458d53a6e4bd0dbaf8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"837c2ff40e1eef2df922bd7e5680388b800ecbeb1b477458d53a6e4bd0dbaf8c","first_computed_at":"2026-05-18T03:00:14.771047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:14.771047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0IpZi9qtOv4IuzriANy4I450vaRoPrlYWpyl379+Z1yoh8Opzv4ynIKyf8CFto7aYa/mCEvOAo3T2TVDw2hrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:14.771810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.4467","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ce803573cbe060b5e1d9b7a0daff57a0aa467949a5547cb4055a05f1db3f155","sha256:623af2af8d818fe59cbf8d15294b93c9ac9182f5f0fa2ca0ca5b8c48611cbd7e"],"state_sha256":"e5b24d71f5dca4e891214c9615a41a0ee0802e99756c41959dab85b07ab4830d"}