{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2CFWPLHQ3O5V7IPZAVSS744X6Z","short_pith_number":"pith:2CFWPLHQ","schema_version":"1.0","canonical_sha256":"d08b67acf0dbbb5fa1f905652ff397f66eae6b5846b0a89f00a9edc05793ef2e","source":{"kind":"arxiv","id":"1703.01266","version":2},"attestation_state":"computed","paper":{"title":"Asymmetry and coherence weight of quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Kaifeng Bu, Namit Anand, Uttam Singh","submitted_at":"2017-03-03T17:49:38Z","abstract_excerpt":"The asymmetry of quantum states is an important resource in quantum information processing tasks such as quantum metrology and quantum communication. In this paper, we introduce the notion of $asymmetry~weight$ --- an operationally motivated asymmetry quantifier in the resource theory of asymmetry. We study the convexity and monotonicity properties of asymmetry weight and focus on its interplay with the corresponding semidefinite programming (SDP) forms along with its connection to other asymmetry measures. Since the SDP form of asymmetry weight is closely related to asymmetry witnesses, we fi"},"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":"1703.01266","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-03T17:49:38Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"42c5d1dd6789d985b887aab10673338337946d29f8342bba6b75df18246de318","abstract_canon_sha256":"49c1cbec1ac311a0517edbfc8bc91c5f467e1f80088974323310a587a9f10178"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:30.859094Z","signature_b64":"D991E0oXKcSJ9TDPB7CckZQIzp3Lyvfb7W8+9ZC4llD4UehIbfvR16B159YHCAAAstwH+gbEBCqiHRNYMnDDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d08b67acf0dbbb5fa1f905652ff397f66eae6b5846b0a89f00a9edc05793ef2e","last_reissued_at":"2026-05-18T00:15:30.858360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:30.858360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymmetry and coherence weight of quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Kaifeng Bu, Namit Anand, Uttam Singh","submitted_at":"2017-03-03T17:49:38Z","abstract_excerpt":"The asymmetry of quantum states is an important resource in quantum information processing tasks such as quantum metrology and quantum communication. In this paper, we introduce the notion of $asymmetry~weight$ --- an operationally motivated asymmetry quantifier in the resource theory of asymmetry. We study the convexity and monotonicity properties of asymmetry weight and focus on its interplay with the corresponding semidefinite programming (SDP) forms along with its connection to other asymmetry measures. Since the SDP form of asymmetry weight is closely related to asymmetry witnesses, we fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01266","kind":"arxiv","version":2},"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":"1703.01266","created_at":"2026-05-18T00:15:30.858483+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.01266v2","created_at":"2026-05-18T00:15:30.858483+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01266","created_at":"2026-05-18T00:15:30.858483+00:00"},{"alias_kind":"pith_short_12","alias_value":"2CFWPLHQ3O5V","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2CFWPLHQ3O5V7IPZ","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2CFWPLHQ","created_at":"2026-05-18T12:30:55.937587+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/2CFWPLHQ3O5V7IPZAVSS744X6Z","json":"https://pith.science/pith/2CFWPLHQ3O5V7IPZAVSS744X6Z.json","graph_json":"https://pith.science/api/pith-number/2CFWPLHQ3O5V7IPZAVSS744X6Z/graph.json","events_json":"https://pith.science/api/pith-number/2CFWPLHQ3O5V7IPZAVSS744X6Z/events.json","paper":"https://pith.science/paper/2CFWPLHQ"},"agent_actions":{"view_html":"https://pith.science/pith/2CFWPLHQ3O5V7IPZAVSS744X6Z","download_json":"https://pith.science/pith/2CFWPLHQ3O5V7IPZAVSS744X6Z.json","view_paper":"https://pith.science/paper/2CFWPLHQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.01266&json=true","fetch_graph":"https://pith.science/api/pith-number/2CFWPLHQ3O5V7IPZAVSS744X6Z/graph.json","fetch_events":"https://pith.science/api/pith-number/2CFWPLHQ3O5V7IPZAVSS744X6Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2CFWPLHQ3O5V7IPZAVSS744X6Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2CFWPLHQ3O5V7IPZAVSS744X6Z/action/storage_attestation","attest_author":"https://pith.science/pith/2CFWPLHQ3O5V7IPZAVSS744X6Z/action/author_attestation","sign_citation":"https://pith.science/pith/2CFWPLHQ3O5V7IPZAVSS744X6Z/action/citation_signature","submit_replication":"https://pith.science/pith/2CFWPLHQ3O5V7IPZAVSS744X6Z/action/replication_record"}},"created_at":"2026-05-18T00:15:30.858483+00:00","updated_at":"2026-05-18T00:15:30.858483+00:00"}