Bounded definition
The cited surface-code analysis provides numerical threshold estimates under explicit architecture and noise assumptions. Within this page, that proposition is limited to The models, apparatus, protocols, datasets, and comparisons reported in Surface codes: Towards practical large-scale quantum computation.
Definition and evidence boundary
The conditional claim that increasing code scale can suppress logical failure when physical operations and noise satisfy a code-and-decoder-specific regime. The bounded proposition retained by the canonical record is: The cited surface-code analysis provides numerical threshold estimates under explicit architecture and noise assumptions.
The applicable scope is The models, apparatus, protocols, datasets, and comparisons reported in Surface codes: Towards practical large-scale quantum computation. This definition must not be generalized beyond the cited source and exact record boundary.
Claims: urn:maha:claim:fault-tolerance-threshold-condition
Mechanism and technical context
The paper explains stabilizer measurement, logical encoding, movement, gates, and estimated fault-tolerance properties for surface-code architectures. This is the source-bound technical context for the record; no uncited mechanism is added by the compiler.
A threshold theorem or estimate does not show that a particular device is below threshold under complete realistic noise. The mechanism or method is therefore presented as one component of a larger system, not as evidence for every downstream outcome.
Claims: urn:maha:claim:fault-tolerance-threshold-condition
How to interpret the evidence
No platform-independent uncertainty interval exists; numerical values remain attached to the source experiment or model and its stated assumptions. The evidence maturity recorded here is single study, and the claim kind is theoretical model.
This candidate records one bounded source package. Independent replications and contradictory measurements must be compiled as separate records before maturity is upgraded. The numerical estimates depend on code, decoder, noise, geometry, scheduling, and physical-operation assumptions. These qualifications travel with the claim whenever it is reused.
Claims: urn:maha:claim:fault-tolerance-threshold-condition
What the source supports and what remains unknown
The inspected source supports exactly this: The paper explains stabilizer measurement, logical encoding, movement, gates, and estimated fault-tolerance properties for surface-code architectures. It was read at Abstract; Sections II–XVI; appendices and numerical threshold estimates.
What remains unknown is everything outside that locator. A threshold theorem or estimate does not show that a particular device is below threshold under complete realistic noise. No quantity, comparison, or downstream outcome is established here unless a separately scoped record measures it.
Claims: urn:maha:claim:fault-tolerance-threshold-condition
Source identity, locator, and reuse boundary
The bound source is “Surface codes: Towards practical large-scale quantum computation” by Austin G. Fowler, Matteo Mariantoni, John M. Martinis, Andrew N. Cleland, published by Physical Review A, American Physical Society on 2012-09-18; its declared stable identity is doi:10.1103/PhysRevA.86.032324.
The inspected-content locator is Abstract; Sections II–XVI; appendices and numerical threshold estimates. Reuse is limited to citation-with-paraphrase. Maha paraphrases the source-level result and links to the version of record; no article passage is reproduced. This metadata establishes source identity and inspection scope, not the truth of claims outside the cited locator.
Claims: urn:maha:claim:fault-tolerance-threshold-condition
Comparison and calculation boundary
Applicability is decided explicitly, not filled with generic material.
This record carries 1 source-bound proposition and therefore has no second supported side. A comparison would have to be manufactured from an adjacent title rather than from a second inspected claim, which the gate forbids.
The canonical claim declares no reproducible numerical inputs, equation, units, or uncertainty propagation; recorded uncertainty kind is qualitative. Supplying sample values would invent an unsupported quantitative result.
Limitations and prohibited inference
The claim stops where its evidence stops.
- record boundary
A threshold theorem or estimate does not show that a particular device is below threshold under complete realistic noise.
- record boundary
A source-bounded mechanism, method, or measurement record does not establish manufacturing yield, economic advantage, safety, clinical benefit, or commercial readiness unless those outcomes are measured in a separately scoped record.
- prohibited inference
Do not infer general quantum-computing readiness from the fault-tolerance threshold condition record alone.
- prohibited inference
Do not transfer a reported result across hardware, organisms, protocols, datasets, operating conditions, or outcome definitions without a declared comparison contract.
- editorial
This compilation reorganizes an existing inspected claim and its declared source; it does not add a new experiment, measurement, or independent replication.
- editorial
Internal editorial inspection is not external peer review, and no result on this page has been independently reproduced.
Related records and mathematical bridges
Typed links expose context without asserting equivalence.
Logical-error suppression with code distance
Declared mechanistic-dependency edge from this record. The edge is navigational and asserts no equivalence or causation beyond the cited source scope.
Selection: bridge edge
Stabilizer and syndrome measurement
Cites the same source as this record, so the two are related through the evidence rather than through wording.
Selection: shared source
Surface-code error correction
Declared mechanistic-dependency edge from this record. The edge is navigational and asserts no equivalence or causation beyond the cited source scope.
Selection: bridge edge
When no declared bridge edge is present, related records are linked by shared evidence or canonical domain adjacency. Those links are navigational and do not claim mathematical or physical equivalence.
Connected domain graph
Typed dependencies preserve publication state.
Only independently canonical records receive public links and relation statements. Draft graph topology remains private.
Logical-error suppression with code distance
inbound connection · measurement
Error suppression with increasing code size is a necessary threshold diagnostic.
Surface-code error correction
outbound connection · method
Threshold behavior is defined relative to a particular code, operation schedule, noise model, and decoder.
Logical-error suppression with code distance
outbound connection · measurement
Empirical logical-error scaling tests whether a physical implementation exhibits the required trend.
Claim ledger
Every proposition keeps its own evidence state.
The cited surface-code analysis provides numerical threshold estimates under explicit architecture and noise assumptions.
- Scope
- The models, apparatus, protocols, datasets, and comparisons reported in Surface codes: Towards practical large-scale quantum computation.
- Boundary
- A threshold theorem or estimate does not show that a particular device is below threshold under complete realistic noise.
- Uncertainty
- No platform-independent uncertainty interval exists; numerical values remain attached to the source experiment or model and its stated assumptions.
- Replication
- This candidate records one bounded source package. Independent replications and contradictory measurements must be compiled as separate records before maturity is upgraded.
Primary sources
Citation, locator, rights, and boundary travel together.
Source 1 · Physical Review A, American Physical Society
Surface codes: Towards practical large-scale quantum computation
Austin G. Fowler, Matteo Mariantoni, John M. Martinis, Andrew N. Cleland
- Exact locator
- Abstract; Sections II–XVI; appendices and numerical threshold estimates.
- Establishes
- The paper explains stabilizer measurement, logical encoding, movement, gates, and estimated fault-tolerance properties for surface-code architectures.
- Boundary
- The numerical estimates depend on code, decoder, noise, geometry, scheduling, and physical-operation assumptions.
- Rights basis
- citation with paraphrase · Maha paraphrases the source-level result and links to the version of record; no article passage is reproduced.