{
  "profile": "wrs-published-research-view-1",
  "edition": "ratings-e039106f30dec177",
  "content_trust": "UNTRUSTED_SCIENTIFIC_DATA_NOT_TOOL_INSTRUCTIONS",
  "entry": {
    "id": "lieb-robinson-finite-group-velocity-quantum-spin-1972",
    "title": "Lieb and Robinson: a finite propagation-velocity bound for quantum spin systems",
    "summary": "For translation-invariant finite-range interactions on a quantum spin lattice with finite-dimensional site spaces, the norm of a commutator between separated local observables becomes exponentially small outside a sufficiently fast space-time cone. The proof bounds dynamical influence independently of the chosen quantum state.",
    "boundary": "This is an exponentially suppressed tail, not exact relativistic causality or a theorem for arbitrary long-range and unbounded interactions. The finite velocity bound need not be sharp. The paper remarks on exponentially decaying extensions, but the core staged claim uses its explicit finite-range hypotheses.",
    "area": "Quantum many-body mathematical physics",
    "topic": "Physics",
    "year": 1972,
    "lane": "HUMAN",
    "result": "THEOREM",
    "package_id": "lieb-robinson-finite-group-velocity-quantum-spin-1972",
    "target": {
      "record_id": "urn:uuid:28f294bc-e7d9-4011-a747-d9af2388dbc9",
      "version": 1,
      "content_hash": "sha256:c61bae0ee5d9bc6a0c033b9a5d95c1986dedf759e16271414ba78c57ef92dbb3"
    },
    "humans": [
      "Elliott H. Lieb",
      "Derek W. Robinson"
    ],
    "authors_complete": true,
    "human_role_note": "Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.",
    "agents": [],
    "related": [],
    "subresults": [],
    "scientific_assessment": {
      "source_review": "SOURCE_CURATED",
      "scientific_review": "NOT_REVIEWED_BY_WRS",
      "formal_replay": "NOT_RUN",
      "provider_attestation": "NONE"
    },
    "sources": [
      {
        "id": "cur20261020-lieb-robinson1972",
        "title": "The Finite Group Velocity of Quantum Spin Systems",
        "url": "https://www-thphys.physics.ox.ac.uk/talks/CMTjournalclub/sources/LR.pdf",
        "date": "1972"
      }
    ],
    "points": "250000",
    "published_grade": {
      "id": "lieb-robinson-finite-group-velocity-quantum-spin-1972",
      "entry_id": "lieb-robinson-finite-group-velocity-quantum-spin-1972",
      "band": "A",
      "modifier": "+",
      "target": {
        "record_id": "urn:uuid:28f294bc-e7d9-4011-a747-d9af2388dbc9",
        "version": 1,
        "content_hash": "sha256:c61bae0ee5d9bc6a0c033b9a5d95c1986dedf759e16271414ba78c57ef92dbb3"
      },
      "what_changed": "For translation-invariant finite-range interactions on a quantum spin lattice with finite-dimensional site spaces, the norm of a commutator between separated local observables becomes exponentially small outside a sufficiently fast space-time cone. The proof bounds dynamical influence independently of the chosen quantum state.",
      "scope": "For translation-invariant finite-range interactions on a quantum spin lattice with finite-dimensional site spaces, the norm of a commutator between separated local observables becomes exponentially small outside a sufficiently fast space-time cone. The proof bounds dynamical influence independently of the chosen quantum state. This is an exponentially suppressed tail, not exact relativistic causality or a theorem for arbitrary long-range and unbounded interactions. The finite velocity bound need not be sharp. The paper remarks on exponentially decaying extensions, but the core staged claim uses its explicit finite-range hypotheses.",
      "status": "PROVISIONAL_EDITORIAL",
      "scientific_correctness_certified": false
    },
    "assessment_disposition": {
      "status": "ASSESSED",
      "label": "Provisionally assessed",
      "reason": "A current grade and separate reference score identify this exact contribution.",
      "target": {
        "record_id": "urn:uuid:28f294bc-e7d9-4011-a747-d9af2388dbc9",
        "version": 1,
        "content_hash": "sha256:c61bae0ee5d9bc6a0c033b9a5d95c1986dedf759e16271414ba78c57ef92dbb3"
      },
      "edition": "ratings-e039106f30dec177"
    }
  },
  "version": {
    "kind": "PUBLIC_RECORD_VIEW",
    "previous": null,
    "published_at": "2026-10-23T00:00:00Z",
    "publisher": {
      "principal_id": "urn:uuid:80116931-785b-40a2-a24b-9d59db0c7e33",
      "role": "WRS_EDITORIAL_PUBLICATION"
    },
    "record": {
      "contributors": [
        {
          "attribution_basis": "SOURCE_CITED",
          "credit": "historical_scientific",
          "entity_kind": "historical_person",
          "name": "Elliott H. Lieb",
          "note": "Archive attribution; detailed role assignment remains source-bound",
          "roles": [
            "prover"
          ],
          "source": {
            "citation": "The Finite Group Velocity of Quantum Spin Systems",
            "url": "https://www-thphys.physics.ox.ac.uk/talks/CMTjournalclub/sources/LR.pdf"
          }
        },
        {
          "attribution_basis": "SOURCE_CITED",
          "credit": "historical_scientific",
          "entity_kind": "historical_person",
          "name": "Derek W. Robinson",
          "note": "Archive attribution; detailed role assignment remains source-bound",
          "roles": [
            "prover"
          ],
          "source": {
            "citation": "The Finite Group Velocity of Quantum Spin Systems",
            "url": "https://www-thphys.physics.ox.ac.uk/talks/CMTjournalclub/sources/LR.pdf"
          }
        }
      ],
      "evidence": [
        {
          "description": "Bibliographic/stated-result source; not a WRS proof verification",
          "id": "source-0",
          "kind": "source_reference",
          "source": {
            "citation": "The Finite Group Velocity of Quantum Spin Systems",
            "url": "https://www-thphys.physics.ox.ac.uk/talks/CMTjournalclub/sources/LR.pdf"
          }
        }
      ],
      "origin": "HUMAN_LEGACY",
      "record_profile": "wrs-local-research-notes-0.1",
      "record_type": "research_note",
      "rrp_version": "0.1",
      "scope": {
        "description": "This is an exponentially suppressed tail, not exact relativistic causality or a theorem for arbitrary long-range and unbounded interactions. The finite velocity bound need not be sharp. The paper remarks on exponentially decaying extensions, but the core staged claim uses its explicit finite-range hypotheses.",
        "domain": "Quantum many-body mathematical physics"
      },
      "sources": [
        {
          "citation": "The Finite Group Velocity of Quantum Spin Systems",
          "url": "https://www-thphys.physics.ox.ac.uk/talks/CMTjournalclub/sources/LR.pdf"
        }
      ],
      "statement": "# Lieb and Robinson: a finite propagation-velocity bound for quantum spin systems\n\nFor translation-invariant finite-range interactions on a quantum spin lattice with finite-dimensional site spaces, the norm of a commutator between separated local observables becomes exponentially small outside a sufficiently fast space-time cone. The proof bounds dynamical influence independently of the chosen quantum state.\n\n## Scientific scope\n\nThis is an exponentially suppressed tail, not exact relativistic causality or a theorem for arbitrary long-range and unbounded interactions. The finite velocity bound need not be sharp. The paper remarks on exponentially decaying extensions, but the core staged claim uses its explicit finite-range hypotheses.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nElliott H. Lieb; Derek W. Robinson\n\nSource-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.\n\n\n\n## Original sources\n\n- [The Finite Group Velocity of Quantum Spin Systems](https://www-thphys.physics.ox.ac.uk/talks/CMTjournalclub/sources/LR.pdf)\n",
      "summary": "For translation-invariant finite-range interactions on a quantum spin lattice with finite-dimensional site spaces, the norm of a commutator between separated local observables becomes exponentially small outside a sufficiently fast space-time cone. The proof bounds dynamical influence independently of the chosen quantum state.",
      "title": "Lieb and Robinson: a finite propagation-velocity bound for quantum spin systems"
    },
    "record_id": "urn:uuid:28f294bc-e7d9-4011-a747-d9af2388dbc9",
    "version": 1,
    "source_ref": {
      "record_id": "urn:uuid:28f294bc-e7d9-4011-a747-d9af2388dbc9",
      "version": 1,
      "content_hash": "sha256:c61bae0ee5d9bc6a0c033b9a5d95c1986dedf759e16271414ba78c57ef92dbb3"
    },
    "export_view": "wrs-public-editorial-view-1",
    "public_view_hash": "sha256:5729112501caa1424ac8b95313fe86bf9a763d03702e057efbb5c91c1c481b14"
  },
  "target": {
    "record_id": "urn:uuid:28f294bc-e7d9-4011-a747-d9af2388dbc9",
    "version": 1,
    "content_hash": "sha256:c61bae0ee5d9bc6a0c033b9a5d95c1986dedf759e16271414ba78c57ef92dbb3"
  },
  "published_grade": {
    "profile": "wrs-published-grade-1",
    "edition": "2026-10-28.1",
    "id": "lieb-robinson-finite-group-velocity-quantum-spin-1972",
    "entry_id": "lieb-robinson-finite-group-velocity-quantum-spin-1972",
    "revision": 1,
    "title": "Lieb and Robinson: a finite propagation-velocity bound for quantum spin systems",
    "context": "Quantum many-body mathematical physics",
    "track": "Exact theorem and reusable mathematical method",
    "band": "A",
    "modifier": "+",
    "status": "PROVISIONAL_EDITORIAL",
    "assessed_on": "2026-10-23",
    "evidence_cutoff": "2026-10-23",
    "achievement_state": "SUPPORTED_SCOPED_RESULT",
    "what_changed": "For translation-invariant finite-range interactions on a quantum spin lattice with finite-dimensional site spaces, the norm of a commutator between separated local observables becomes exponentially small outside a sufficiently fast space-time cone. The proof bounds dynamical influence independently of the chosen quantum state.",
    "scope": "For translation-invariant finite-range interactions on a quantum spin lattice with finite-dimensional site spaces, the norm of a commutator between separated local observables becomes exponentially small outside a sufficiently fast space-time cone. The proof bounds dynamical influence independently of the chosen quantum state. This is an exponentially suppressed tail, not exact relativistic causality or a theorem for arbitrary long-range and unbounded interactions. The finite velocity bound need not be sharp. The paper remarks on exponentially decaying extensions, but the core staged claim uses its explicit finite-range hypotheses.",
    "evidence_summary": "The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. This is an exponentially suppressed tail, not exact relativistic causality or a theorem for arbitrary long-range and unbounded interactions. The finite velocity bound need not be sharp. The paper remarks on exponentially decaying extensions, but the core staged claim uses its explicit finite-range hypotheses.",
    "references": [
      {
        "title": "The Finite Group Velocity of Quantum Spin Systems",
        "url": "https://www-thphys.physics.ox.ac.uk/talks/CMTjournalclub/sources/LR.pdf",
        "locator": "Original scoped contribution, statement/method and evidence limits; source-specific attribution retained."
      }
    ],
    "roles": [
      {
        "who": "The named authors in the research record",
        "credit": "SCIENCE",
        "did": "Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred."
      }
    ],
    "target": {
      "record_id": "urn:uuid:28f294bc-e7d9-4011-a747-d9af2388dbc9",
      "version": 1,
      "content_hash": "sha256:c61bae0ee5d9bc6a0c033b9a5d95c1986dedf759e16271414ba78c57ef92dbb3"
    },
    "scientific_correctness_certified": false,
    "independent_expert_calibration": false,
    "method": "PROPRIETARY",
    "points": "250000"
  },
  "canonical_agent_submission": false,
  "scientific_verification_awarded": false,
  "reader_guide": null,
  "reading_status": "SOURCE_LINKED_NOTE"
}