{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:36U7BJOCW332ERKCFKB4G2TC7K","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":"e897f3762294d2677db4b3eece270c260987b9ba199fc5163439183b70cae3dc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2018-07-26T18:00:37Z","title_canon_sha256":"d91961d2e88659bb784d8a9fd741f571181b62466fae9477def3000464e4f895"},"schema_version":"1.0","source":{"id":"1807.10296","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.10296","created_at":"2026-05-17T23:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1807.10296v3","created_at":"2026-05-17T23:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.10296","created_at":"2026-05-17T23:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"36U7BJOCW332","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"36U7BJOCW332ERKC","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"36U7BJOC","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:af60ff24db9aa68861a52dc3eaa815269dce4c2ddcde698a431b3a7d1bbdd68c","target":"graph","created_at":"2026-05-17T23:49:11Z","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"},"paper":{"abstract_excerpt":"We give a new algorithm for computing the robustness of magic - a measure of the utility of quantum states as a computational resource. Our work is motivated by the magic state model of fault-tolerant quantum computation. In this model, all unitaries belong to the Clifford group. Non-Clifford operations are effected by injecting non-stabiliser states, which are referred to as magic states in this context. The robustness of magic measures the complexity of simulating such a circuit using a classical Monte Carlo algorithm. It is closely related to the degree negativity that slows down Monte Carl","authors_text":"David Gross, Markus Heinrich","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2018-07-26T18:00:37Z","title":"Robustness of Magic and Symmetries of the Stabiliser Polytope"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.10296","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":"sha256:550d0fac4013e155b2014f78c021d9c875bd0473311b67fe77ac95eb3b8afd5b","target":"record","created_at":"2026-05-17T23:49:11Z","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":"e897f3762294d2677db4b3eece270c260987b9ba199fc5163439183b70cae3dc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2018-07-26T18:00:37Z","title_canon_sha256":"d91961d2e88659bb784d8a9fd741f571181b62466fae9477def3000464e4f895"},"schema_version":"1.0","source":{"id":"1807.10296","kind":"arxiv","version":3}},"canonical_sha256":"dfa9f0a5c2b6f7a245422a83c36a62fa8690e3da1fcdecb780dc41766e145bc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfa9f0a5c2b6f7a245422a83c36a62fa8690e3da1fcdecb780dc41766e145bc5","first_computed_at":"2026-05-17T23:49:11.535872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:11.535872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mBOgrawupxo2PktgQnxPtnKAggtxxCH+56sSOZ5N7Dn/+j9GFFxKl2uhGjkpsZD4mRe84CDAjsMnWaXXmKeYAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:11.536507Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.10296","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:550d0fac4013e155b2014f78c021d9c875bd0473311b67fe77ac95eb3b8afd5b","sha256:af60ff24db9aa68861a52dc3eaa815269dce4c2ddcde698a431b3a7d1bbdd68c"],"state_sha256":"5ff17a1706aa4730411056515eab8347030bdece493db1641beaca3bfb8875a3"}