Bounded definition
The conditional claim that increasing code scale can suppress logical failure when physical operations and noise satisfy a code-and-decoder-specific regime.
What the cited work establishes
The paper explains stabilizer measurement, logical encoding, movement, gates, and estimated fault-tolerance properties for surface-code architectures.
The models, apparatus, protocols, datasets, and comparisons reported in Surface codes: Towards practical large-scale quantum computation.
Claims: urn:maha:claim:fault-tolerance-threshold-condition
What remains a separate question
A threshold theorem or estimate does not show that a particular device is below threshold under complete realistic noise.
The numerical estimates depend on code, decoder, noise, geometry, scheduling, and physical-operation assumptions.
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.