{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GQAHTCH3Z5RBAXODL5AEVUYACQ","short_pith_number":"pith:GQAHTCH3","schema_version":"1.0","canonical_sha256":"34007988fbcf62105dc35f404ad300142c816a066a52c695de1ad1ef28c0d719","source":{"kind":"arxiv","id":"1607.00873","version":1},"attestation_state":"computed","paper":{"title":"An operational measure for squeezing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Daniel Lercher, Martin Idel, Michael M. Wolf","submitted_at":"2016-07-04T13:08:28Z","abstract_excerpt":"We propose and analyse a mathematical measure for the amount of squeezing contained in a continuous variable quantum state. We show that the proposed measure operationally quantifies the minimal amount of squeezing needed to prepare a given quantum state and that it can be regarded as a squeezing analogue of the \"entanglement of formation\". We prove that the measure is convex and superadditive and we provide analytic bounds as well as a numerical convex optimisation algorithm for its computation. By example, we then show that the amount of squeezing needed for the preparation of certain multi-"},"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":"1607.00873","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-07-04T13:08:28Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"654a2638b5126a827669b27701badd5e559c8cf0d6fcd873121333599520e896","abstract_canon_sha256":"daf447488ee440b7ab86f6be6ba4a67e820f65ef35f3d58926d7fc9829023b35"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:11.949926Z","signature_b64":"j0VsTAHVVasm4Bbanwgze/sP5vwLfguLCUy8kBnsFmP6CsU1gnLywA1ARBQr1S7zLdHY7aE3ac4aUthmxqlUBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34007988fbcf62105dc35f404ad300142c816a066a52c695de1ad1ef28c0d719","last_reissued_at":"2026-05-18T00:57:11.949448Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:11.949448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An operational measure for squeezing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Daniel Lercher, Martin Idel, Michael M. Wolf","submitted_at":"2016-07-04T13:08:28Z","abstract_excerpt":"We propose and analyse a mathematical measure for the amount of squeezing contained in a continuous variable quantum state. We show that the proposed measure operationally quantifies the minimal amount of squeezing needed to prepare a given quantum state and that it can be regarded as a squeezing analogue of the \"entanglement of formation\". We prove that the measure is convex and superadditive and we provide analytic bounds as well as a numerical convex optimisation algorithm for its computation. By example, we then show that the amount of squeezing needed for the preparation of certain multi-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00873","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":"1607.00873","created_at":"2026-05-18T00:57:11.949520+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.00873v1","created_at":"2026-05-18T00:57:11.949520+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00873","created_at":"2026-05-18T00:57:11.949520+00:00"},{"alias_kind":"pith_short_12","alias_value":"GQAHTCH3Z5RB","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GQAHTCH3Z5RBAXOD","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GQAHTCH3","created_at":"2026-05-18T12:30:19.053100+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/GQAHTCH3Z5RBAXODL5AEVUYACQ","json":"https://pith.science/pith/GQAHTCH3Z5RBAXODL5AEVUYACQ.json","graph_json":"https://pith.science/api/pith-number/GQAHTCH3Z5RBAXODL5AEVUYACQ/graph.json","events_json":"https://pith.science/api/pith-number/GQAHTCH3Z5RBAXODL5AEVUYACQ/events.json","paper":"https://pith.science/paper/GQAHTCH3"},"agent_actions":{"view_html":"https://pith.science/pith/GQAHTCH3Z5RBAXODL5AEVUYACQ","download_json":"https://pith.science/pith/GQAHTCH3Z5RBAXODL5AEVUYACQ.json","view_paper":"https://pith.science/paper/GQAHTCH3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.00873&json=true","fetch_graph":"https://pith.science/api/pith-number/GQAHTCH3Z5RBAXODL5AEVUYACQ/graph.json","fetch_events":"https://pith.science/api/pith-number/GQAHTCH3Z5RBAXODL5AEVUYACQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GQAHTCH3Z5RBAXODL5AEVUYACQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GQAHTCH3Z5RBAXODL5AEVUYACQ/action/storage_attestation","attest_author":"https://pith.science/pith/GQAHTCH3Z5RBAXODL5AEVUYACQ/action/author_attestation","sign_citation":"https://pith.science/pith/GQAHTCH3Z5RBAXODL5AEVUYACQ/action/citation_signature","submit_replication":"https://pith.science/pith/GQAHTCH3Z5RBAXODL5AEVUYACQ/action/replication_record"}},"created_at":"2026-05-18T00:57:11.949520+00:00","updated_at":"2026-05-18T00:57:11.949520+00:00"}