{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:U6ONU2BEUTA7TORNSWQUNNCKWZ","short_pith_number":"pith:U6ONU2BE","schema_version":"1.0","canonical_sha256":"a79cda6824a4c1f9ba2d95a146b44ab6656e5348d877f143dad9b175164eb8b0","source":{"kind":"arxiv","id":"1709.09622","version":1},"attestation_state":"computed","paper":{"title":"Quantum State Isomorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Carlos E. Gonz\\'alez Guill\\'en, Joshua Lockhart","submitted_at":"2017-09-27T16:54:52Z","abstract_excerpt":"We consider a problem we call StateIsomorphism: given two quantum states of n qubits, can one be obtained from the other by rearranging the qubit subsystems? Our main goal is to study the complexity of this problem, which is a natural quantum generalisation of the problem StringIsomorphism. We show that StateIsomorphism is at least as hard as GraphIsomorphism, and show that these problems have a similar structure by presenting evidence to suggest that StateIsomorphism is an intermediate problem for QCMA. In particular, we show that the complement of the problem, StateNonIsomorphism, has a two "},"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":"1709.09622","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-09-27T16:54:52Z","cross_cats_sorted":[],"title_canon_sha256":"d4d2d09406f7fedbee2747f8e80e607641dbe0ae68419ca4504aea7bc89fa6ad","abstract_canon_sha256":"ba7023317cefe695e91745f6cbd9119d8e29e492251475f351a31c9b6ab3d964"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:11.127277Z","signature_b64":"P4kdoGpv8Lfj2Stntcp9b2aCFRBKnY54vITFawaIQbMyNTK0kexXo8zKOoQhaUGrrdCFBM0L1S2K5xg7IcxLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a79cda6824a4c1f9ba2d95a146b44ab6656e5348d877f143dad9b175164eb8b0","last_reissued_at":"2026-05-18T00:34:11.126612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:11.126612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum State Isomorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Carlos E. Gonz\\'alez Guill\\'en, Joshua Lockhart","submitted_at":"2017-09-27T16:54:52Z","abstract_excerpt":"We consider a problem we call StateIsomorphism: given two quantum states of n qubits, can one be obtained from the other by rearranging the qubit subsystems? Our main goal is to study the complexity of this problem, which is a natural quantum generalisation of the problem StringIsomorphism. We show that StateIsomorphism is at least as hard as GraphIsomorphism, and show that these problems have a similar structure by presenting evidence to suggest that StateIsomorphism is an intermediate problem for QCMA. In particular, we show that the complement of the problem, StateNonIsomorphism, has a two "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09622","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":"1709.09622","created_at":"2026-05-18T00:34:11.126730+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.09622v1","created_at":"2026-05-18T00:34:11.126730+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.09622","created_at":"2026-05-18T00:34:11.126730+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6ONU2BEUTA7","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6ONU2BEUTA7TORN","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6ONU2BE","created_at":"2026-05-18T12:31:46.661854+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.12615","citing_title":"Quantum state isomorphism problems for groups","ref_index":30,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U6ONU2BEUTA7TORNSWQUNNCKWZ","json":"https://pith.science/pith/U6ONU2BEUTA7TORNSWQUNNCKWZ.json","graph_json":"https://pith.science/api/pith-number/U6ONU2BEUTA7TORNSWQUNNCKWZ/graph.json","events_json":"https://pith.science/api/pith-number/U6ONU2BEUTA7TORNSWQUNNCKWZ/events.json","paper":"https://pith.science/paper/U6ONU2BE"},"agent_actions":{"view_html":"https://pith.science/pith/U6ONU2BEUTA7TORNSWQUNNCKWZ","download_json":"https://pith.science/pith/U6ONU2BEUTA7TORNSWQUNNCKWZ.json","view_paper":"https://pith.science/paper/U6ONU2BE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.09622&json=true","fetch_graph":"https://pith.science/api/pith-number/U6ONU2BEUTA7TORNSWQUNNCKWZ/graph.json","fetch_events":"https://pith.science/api/pith-number/U6ONU2BEUTA7TORNSWQUNNCKWZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6ONU2BEUTA7TORNSWQUNNCKWZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6ONU2BEUTA7TORNSWQUNNCKWZ/action/storage_attestation","attest_author":"https://pith.science/pith/U6ONU2BEUTA7TORNSWQUNNCKWZ/action/author_attestation","sign_citation":"https://pith.science/pith/U6ONU2BEUTA7TORNSWQUNNCKWZ/action/citation_signature","submit_replication":"https://pith.science/pith/U6ONU2BEUTA7TORNSWQUNNCKWZ/action/replication_record"}},"created_at":"2026-05-18T00:34:11.126730+00:00","updated_at":"2026-05-18T00:34:11.126730+00:00"}