{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GQ5S7WXTVPT27LEHTJML7LDJJS","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":"2ad9fed7448d0dc382fb00441fbee9f0ed959252a6b2de592d189c832164b6c6","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-23T18:56:19Z","title_canon_sha256":"e29c09ef0a7b4db5330d674cb83ce65290490178dadfd0569ddbb3abf5cdd029"},"schema_version":"1.0","source":{"id":"2507.17871","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.17871","created_at":"2026-07-01T00:17:08Z"},{"alias_kind":"arxiv_version","alias_value":"2507.17871v3","created_at":"2026-07-01T00:17:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.17871","created_at":"2026-07-01T00:17:08Z"},{"alias_kind":"pith_short_12","alias_value":"GQ5S7WXTVPT2","created_at":"2026-07-01T00:17:08Z"},{"alias_kind":"pith_short_16","alias_value":"GQ5S7WXTVPT27LEH","created_at":"2026-07-01T00:17:08Z"},{"alias_kind":"pith_short_8","alias_value":"GQ5S7WXT","created_at":"2026-07-01T00:17:08Z"}],"graph_snapshots":[{"event_id":"sha256:89b6737930d4e9c3cd5be01211bcd85e7e45cdf70e779d38483a62172c9b3811","target":"graph","created_at":"2026-07-01T00:17:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.17871/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Random quantum states have various applications in quantum information science. We discover a new ensemble of quantum states that serve as an $\\epsilon$-approximate state $t$-design while possessing extremely low entanglement, magic, and coherence. These resources can reach their theoretical lower bounds, $\\Omega(\\log (t/\\epsilon))$, which are also proven in this work. This implies that for fixed $t$ and $\\epsilon$, entanglement, magic, and coherence do not scale with the system size, i.e., $O(1)$ with respect to the total number of qubits $n$. Moreover, we explicitly construct an ancilla-free","authors_text":"Gil Young Cho, Hyukjoon Kwon, Minki Hhan, Wonjun Lee","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-23T18:56:19Z","title":"Shallow quantum circuit for generating extremely low-entangled approximate state designs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.17871","kind":"arxiv","version":3},"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":"sha256:4c025fd7cf61b65e03a2a8d0bac2d2073494cecbd2e7058d219683b60b9c0d95","target":"record","created_at":"2026-07-01T00:17:08Z","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":"2ad9fed7448d0dc382fb00441fbee9f0ed959252a6b2de592d189c832164b6c6","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-23T18:56:19Z","title_canon_sha256":"e29c09ef0a7b4db5330d674cb83ce65290490178dadfd0569ddbb3abf5cdd029"},"schema_version":"1.0","source":{"id":"2507.17871","kind":"arxiv","version":3}},"canonical_sha256":"343b2fdaf3abe7afac879a58bfac694c8ce30bc79e92904401954655d9c0fdc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"343b2fdaf3abe7afac879a58bfac694c8ce30bc79e92904401954655d9c0fdc8","first_computed_at":"2026-07-01T00:17:08.307678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T00:17:08.307678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ost+00lQDJjhbSXUeUeICPcT33fy6pl7KfzMaGWvQvYBv3yMbafu7B3Ak6BAKWc69HdMHOi2JRNqv7Q2hp5MCA==","signature_status":"signed_v1","signed_at":"2026-07-01T00:17:08.308193Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.17871","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c025fd7cf61b65e03a2a8d0bac2d2073494cecbd2e7058d219683b60b9c0d95","sha256:89b6737930d4e9c3cd5be01211bcd85e7e45cdf70e779d38483a62172c9b3811"],"state_sha256":"5437452c38981098b60024298543a80cbe7baae257b9a9769c20866f1905dbb7"}