{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:P5NTXHOE4MDX7I4A2GAP4EECJK","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":"830459f0a9b931d0ab108b71acc4abb1c9771126fbb33c29416aba750474b7d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-12T07:38:30Z","title_canon_sha256":"401ba2208ecc7b028c7353ac7fe27f14d177d352c1fd7e66fd8c0ed4b2c705d3"},"schema_version":"1.0","source":{"id":"2606.14204","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.14204","created_at":"2026-06-29T01:14:34Z"},{"alias_kind":"arxiv_version","alias_value":"2606.14204v2","created_at":"2026-06-29T01:14:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.14204","created_at":"2026-06-29T01:14:34Z"},{"alias_kind":"pith_short_12","alias_value":"P5NTXHOE4MDX","created_at":"2026-06-29T01:14:34Z"},{"alias_kind":"pith_short_16","alias_value":"P5NTXHOE4MDX7I4A","created_at":"2026-06-29T01:14:34Z"},{"alias_kind":"pith_short_8","alias_value":"P5NTXHOE","created_at":"2026-06-29T01:14:34Z"}],"graph_snapshots":[{"event_id":"sha256:81fe967fcbd3c770d2e3bdc162060810177b251fb38a3e03e74b66834d0d46fd","target":"graph","created_at":"2026-06-29T01:14:34Z","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/2606.14204/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the simultaneous estimation of partial-transpose moments $p_j(\\rho_{AB})=\\mathrm{Tr}[(\\rho_{AB}^{T_B})^j]$, $j=2,\\ldots,K$, of an unknown bipartite $n$-qubit state from independent copies under an explicit active-memory constraint. We give a sequential qubit-reuse realization of the partial-transpose permutation that uses at most $2n+1$ active qubits, independent of $K$, and estimates all moments $p_2,\\ldots,p_K$ to uniform additive error $\\epsilon$ with total copy complexity $O(K\\log K/\\epsilon^2)$. We also prove two converse bounds. First, any uniformly accurate simultaneous estimat","authors_text":"Junxiang Huang, Xiaoyang Wang, Xiao Yuan, Yukun Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-12T07:38:30Z","title":"Simultaneous Estimation of Partial-Transpose Moments with Active Memory Independent of the Moment Order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.14204","kind":"arxiv","version":2},"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":"sha256:12a58716a24f4ccde7ec931b4c681d50acb3860b75fee55c4e71c4c4a30562c6","target":"record","created_at":"2026-06-29T01:14:34Z","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":"830459f0a9b931d0ab108b71acc4abb1c9771126fbb33c29416aba750474b7d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-12T07:38:30Z","title_canon_sha256":"401ba2208ecc7b028c7353ac7fe27f14d177d352c1fd7e66fd8c0ed4b2c705d3"},"schema_version":"1.0","source":{"id":"2606.14204","kind":"arxiv","version":2}},"canonical_sha256":"7f5b3b9dc4e3077fa380d180fe10824aa808bcd3fbab50f1167426ea97135c70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f5b3b9dc4e3077fa380d180fe10824aa808bcd3fbab50f1167426ea97135c70","first_computed_at":"2026-06-29T01:14:34.204069Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:14:34.204069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MPUPa3DZn8MpuSK7Opp9Em1uzNsRidDYFC2wURVJvzAQVsOwk/I1HQGy/5qb2AIRimK9RAeOBwYgYYnEKiy4Dg==","signature_status":"signed_v1","signed_at":"2026-06-29T01:14:34.204593Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.14204","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12a58716a24f4ccde7ec931b4c681d50acb3860b75fee55c4e71c4c4a30562c6","sha256:81fe967fcbd3c770d2e3bdc162060810177b251fb38a3e03e74b66834d0d46fd"],"state_sha256":"a375186504b8dd8c03618206b113aaabc5e0bb00503475aa2f3bf0ecbb07e7cd"}